source: src/ASM/I8051.ma @ 1280

Last change on this file since 1280 was 1193, checked in by mulligan, 9 years ago

work on colouring algorithm halted as it can be axiomatised. now implementing interference graphs (objects!)
File size: 144.0 KB
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1include "arithmetics/nat.ma".
2include "basics/jmeq.ma".
3
4include "ASM/String.ma".
5include "ASM/ASM.ma".
6include "ASM/Arithmetic.ma".
7include "utilities/Compare.ma".
8
9definition int_size ≝ bitvector_of_nat 8 1.
10definition ptr_size ≝ bitvector_of_nat 8 2.
11definition alignment ≝ None.
12
13(* dpm: Can these two inductive definitions be merged? In LIN, yes, but perhaps
14        not further back in the translation chain.                            *)
15inductive OpAccs: Type[0] ≝
16  Mul: OpAccs
17| DivuModu: OpAccs.
18
19inductive Op1: Type[0] ≝
20  Cmpl: Op1
21| Inc: Op1.
22
23inductive Op2: Type[0] ≝
24  Add: Op2
25| Addc: Op2
26| Sub: Op2
27| And: Op2
28| Or: Op2
29| Xor: Op2.
30
31(* dpm: maybe useless? *)
32inductive Register: Type[0] ≝
33  Register00: Register
34| Register01: Register
35| Register02: Register
36| Register03: Register
37| Register04: Register
38| Register05: Register
39| Register06: Register
40| Register07: Register
41| Register10: Register
42| Register11: Register
43| Register12: Register
44| Register13: Register
45| Register14: Register
46| Register15: Register
47| Register16: Register
48| Register17: Register
49| Register20: Register
50| Register21: Register
51| Register22: Register
52| Register23: Register
53| Register24: Register
54| Register25: Register
55| Register26: Register
56| Register27: Register
57| Register30: Register
58| Register31: Register
59| Register32: Register
60| Register33: Register
61| Register34: Register
62| Register35: Register
63| Register36: Register
64| Register37: Register
65| RegisterA: Register
66| RegisterB: Register
67| RegisterDPL: Register
68| RegisterDPH: Register
69| RegisterCarry: Register.
70
71definition nat_of_register: Register → nat ≝
72  λr: Register.
73  match r with
74  [ Register00 ⇒ 0
75  | Register01 ⇒ 1
76  | Register02 ⇒ 2
77  | Register03 ⇒ 3
78  | Register04 ⇒ 4
79  | Register05 ⇒ 5
80  | Register06 ⇒ 6
81  | Register07 ⇒ 7
82  | Register10 ⇒ 8
83  | Register11 ⇒ 9
84  | Register12 ⇒ 10
85  | Register13 ⇒ 11
86  | Register14 ⇒ 12
87  | Register15 ⇒ 13
88  | Register16 ⇒ 14
89  | Register17 ⇒ 15
90  | Register20 ⇒ 16
91  | Register21 ⇒ 17
92  | Register22 ⇒ 18
93  | Register23 ⇒ 19
94  | Register24 ⇒ 20
95  | Register25 ⇒ 21
96  | Register26 ⇒ 22
97  | Register27 ⇒ 23
98  | Register30 ⇒ 24
99  | Register31 ⇒ 25
100  | Register32 ⇒ 26
101  | Register33 ⇒ 27
102  | Register34 ⇒ 28
103  | Register35 ⇒ 29
104  | Register36 ⇒ 30
105  | Register37 ⇒ 31
106  | RegisterA ⇒ 32
107  | RegisterB ⇒ 33
108  | RegisterDPL ⇒ 34
109  | RegisterDPH ⇒ 35
110  | RegisterCarry ⇒ 36 (* was -1, increment as needed *)
111  ].
112 
113definition physical_register_count ≝ 36.
114
115definition word_of_register: Register → Word ≝
116  λregister.
117    bitvector_of_nat ? (nat_of_register register).
118
119definition compare_register: Register → Register → compare ≝
120  λr, s: Register.
121    let r_as_nat ≝ nat_of_register r in
122    let s_as_nat ≝ nat_of_register s in
123      match eqb r_as_nat s_as_nat with
124      [ true ⇒ compare_equal
125      | false ⇒
126        match ltb r_as_nat s_as_nat with
127        [ true ⇒ compare_less
128        | false ⇒ compare_greater
129        ]
130      ].
131
132definition eq_Register: Register → Register → bool ≝
133  λr, s: Register.
134  let r_as_nat ≝ nat_of_register r in
135  let s_as_nat ≝ nat_of_register s in
136    eqb r_as_nat s_as_nat.
137
138axiom print_register: Register → String.
139
140(* dpm: registers for stack manipulation *)
141definition RegisterSST ≝ Register10.
142definition RegisterST0 ≝ Register02.
143definition RegisterST1 ≝ Register03.
144definition RegisterST2 ≝ Register04.
145definition RegisterST3 ≝ Register05.
146definition RegisterSTS ≝ [RegisterST0; RegisterST1; RegisterST2; RegisterST3].
147definition RegisterSPL ≝ Register06.
148definition RegisterSPH ≝ Register07.
149definition RegisterParams: list Register ≝
150  [ Register30; Register31; Register32; Register33;
151    Register34; Register35; Register36; Register37 ].
152definition Registers ≝
153  [Register00; Register01; Register02; Register03; Register04;
154   Register05; Register06; Register07; Register10; Register11;
155   Register12; Register13; Register14; Register15; Register16;
156   Register17; Register20; Register21; Register22; Register23;
157   Register24; Register25; Register26; Register27; Register30;
158   Register31; Register32; Register33; Register34; Register35;
159   Register36; Register37; RegisterA; RegisterB; RegisterDPL;
160   RegisterDPH; RegisterSPL; RegisterSPH; RegisterST0; RegisterST1;
161   RegisterSST].
162definition RegisterRets ≝ [RegisterDPL; RegisterDPH; Register00; Register01].
163definition RegisterCallerSaved ≝
164  [Register00; Register01; Register02; Register03; Register04;
165   Register05; Register06; Register07; Register10; Register11;
166   Register12; Register13; Register14; Register15; Register16;
167   Register17; Register30; Register31; Register32; Register33;
168   Register34; Register35; Register36; Register37].
169definition RegisterCalleeSaved ≝
170  [Register20; Register21; Register22; Register23; Register24;
171   Register25; Register26; Register27].
172definition RegistersForbidden ≝
173  [RegisterA; RegisterB; RegisterDPL; RegisterDPH;
174   RegisterSPL; RegisterSPH; RegisterST0; RegisterST1;
175   RegisterST2; RegisterST3; RegisterSST].
176(* registers minus forbidden *)
177definition RegistersAllocatable ≝
178  [Register00; Register01; Register02; Register03; Register04;
179   Register05; Register06; Register07; Register10; Register11;
180   Register12; Register13; Register14; Register15; Register16;
181   Register17; Register20; Register21; Register22; Register23;
182   Register24; Register25; Register26; Register27; Register30;
183   Register31; Register32; Register33; Register34; Register35;
184   Register36; Register37].
185
186definition register_address: Register → [[ acc_a; direct; registr ]] ≝
187  λr: Register.
188    match r with
189    [ Register00 ⇒ REGISTER [[ false; false; false ]]
190    | Register01 ⇒ REGISTER [[ false; false; true ]]
191    | Register02 ⇒ REGISTER [[ false; true; false ]]
192    | Register03 ⇒ REGISTER [[ false; true; true ]]
193    | Register04 ⇒ REGISTER [[ true; false; false ]]
194    | Register05 ⇒ REGISTER [[ true; false; true ]]
195    | Register06 ⇒ REGISTER [[ true; true; false ]]
196    | Register07 ⇒ REGISTER [[ true; true; true ]]
197    | RegisterA ⇒ ACC_A
198    | RegisterB ⇒ DIRECT (bitvector_of_nat 8 240)
199    | RegisterDPL ⇒ DIRECT (bitvector_of_nat 8 82)
200    | RegisterDPH ⇒ DIRECT (bitvector_of_nat 8 83)
201    | _ ⇒ DIRECT (bitvector_of_nat 8 (nat_of_register r))
202    ].
203    [*: normalize
204        @ I
205    ]
206qed.
207   
208record RegisterMap: Type[0] ≝
209{
210  register_00_value: option Byte;
211  register_01_value: option Byte;
212  register_02_value: option Byte;
213  register_03_value: option Byte;
214  register_04_value: option Byte;
215  register_05_value: option Byte;
216  register_06_value: option Byte;
217  register_07_value: option Byte;
218  register_10_value: option Byte;
219  register_11_value: option Byte;
220  register_12_value: option Byte;
221  register_13_value: option Byte;
222  register_14_value: option Byte;
223  register_15_value: option Byte;
224  register_16_value: option Byte;
225  register_17_value: option Byte;
226  register_20_value: option Byte;
227  register_21_value: option Byte;
228  register_22_value: option Byte;
229  register_23_value: option Byte;
230  register_24_value: option Byte;
231  register_25_value: option Byte;
232  register_26_value: option Byte;
233  register_27_value: option Byte;
234  register_30_value: option Byte;
235  register_31_value: option Byte;
236  register_32_value: option Byte;
237  register_33_value: option Byte;
238  register_34_value: option Byte;
239  register_35_value: option Byte;
240  register_36_value: option Byte;
241  register_37_value: option Byte;
242  register_A_value: option Byte;
243  register_B_value: option Byte;
244  register_DPL_value: option Byte;
245  register_DPH_value: option Byte;
246  register_Carry_value: option Byte
247  (* carry only used in liveness analysis *)
248}.
249
250definition initialize_register_map: RegisterMap ≝
251  mk_RegisterMap (None ?) (None ?) (None ?) (None ?)
252                 (None ?) (None ?) (None ?) (None ?)
253                 (None ?) (None ?) (None ?) (None ?)
254                 (None ?) (None ?) (None ?) (None ?)
255                 (None ?) (None ?) (None ?) (None ?)
256                 (None ?) (None ?) (None ?) (None ?)
257                 (None ?) (None ?) (None ?) (None ?)
258                 (None ?) (None ?) (None ?) (None ?)
259                 (None ?) (None ?) (None ?) (None ?)
260                 (None ?).
261                 
262definition lookup_register_map: Register → RegisterMap → option Byte ≝
263  λr: Register.
264  λm: RegisterMap.
265  match r with
266  [ Register00 ⇒ register_00_value m
267  | Register01 ⇒ register_01_value m
268  | Register02 ⇒ register_02_value m
269  | Register03 ⇒ register_03_value m
270  | Register04 ⇒ register_04_value m
271  | Register05 ⇒ register_05_value m
272  | Register06 ⇒ register_06_value m
273  | Register07 ⇒ register_07_value m
274  | Register10 ⇒ register_10_value m
275  | Register11 ⇒ register_11_value m
276  | Register12 ⇒ register_12_value m
277  | Register13 ⇒ register_13_value m
278  | Register14 ⇒ register_14_value m
279  | Register15 ⇒ register_15_value m
280  | Register16 ⇒ register_16_value m
281  | Register17 ⇒ register_17_value m
282  | Register20 ⇒ register_20_value m
283  | Register21 ⇒ register_21_value m
284  | Register22 ⇒ register_22_value m
285  | Register23 ⇒ register_23_value m
286  | Register24 ⇒ register_24_value m
287  | Register25 ⇒ register_25_value m
288  | Register26 ⇒ register_26_value m
289  | Register27 ⇒ register_27_value m
290  | Register30 ⇒ register_30_value m
291  | Register31 ⇒ register_31_value m
292  | Register32 ⇒ register_32_value m
293  | Register33 ⇒ register_33_value m
294  | Register34 ⇒ register_34_value m
295  | Register35 ⇒ register_35_value m
296  | Register36 ⇒ register_36_value m
297  | Register37 ⇒ register_37_value m
298  | RegisterA ⇒ register_A_value m
299  | RegisterB ⇒ register_B_value m
300  | RegisterDPL ⇒ register_DPL_value m
301  | RegisterDPH ⇒ register_DPH_value m
302  | RegisterCarry ⇒ register_Carry_value m
303  ].
304 
305definition update_register_00: Byte → RegisterMap → RegisterMap ≝
306  λb: Byte.
307  λm: RegisterMap.
308  let old_register_00_value ≝ register_00_value m in
309  let old_register_01_value ≝ register_01_value m in
310  let old_register_02_value ≝ register_02_value m in
311  let old_register_03_value ≝ register_03_value m in
312  let old_register_04_value ≝ register_04_value m in
313  let old_register_05_value ≝ register_05_value m in
314  let old_register_06_value ≝ register_06_value m in
315  let old_register_07_value ≝ register_07_value m in
316  let old_register_10_value ≝ register_01_value m in
317  let old_register_11_value ≝ register_01_value m in
318  let old_register_12_value ≝ register_02_value m in
319  let old_register_13_value ≝ register_03_value m in
320  let old_register_14_value ≝ register_04_value m in
321  let old_register_15_value ≝ register_05_value m in
322  let old_register_16_value ≝ register_06_value m in
323  let old_register_17_value ≝ register_07_value m in
324  let old_register_20_value ≝ register_01_value m in
325  let old_register_21_value ≝ register_02_value m in
326  let old_register_22_value ≝ register_02_value m in
327  let old_register_23_value ≝ register_03_value m in
328  let old_register_24_value ≝ register_04_value m in
329  let old_register_25_value ≝ register_05_value m in
330  let old_register_26_value ≝ register_06_value m in
331  let old_register_27_value ≝ register_07_value m in
332  let old_register_30_value ≝ register_01_value m in
333  let old_register_31_value ≝ register_02_value m in
334  let old_register_32_value ≝ register_02_value m in
335  let old_register_33_value ≝ register_03_value m in
336  let old_register_34_value ≝ register_04_value m in
337  let old_register_35_value ≝ register_05_value m in
338  let old_register_36_value ≝ register_06_value m in
339  let old_register_37_value ≝ register_07_value m in
340  let old_register_A_value ≝ register_A_value m in
341  let old_register_B_value ≝ register_B_value m in
342  let old_register_DPL_value ≝ register_DPL_value m in
343  let old_register_DPH_value ≝ register_DPH_value m in
344  let old_register_Carry_value ≝ register_Carry_value m in
345    mk_RegisterMap (Some ? b)
346                   old_register_01_value
347                   old_register_02_value
348                   old_register_03_value
349                   old_register_04_value
350                   old_register_05_value
351                   old_register_06_value
352                   old_register_07_value
353                   old_register_10_value
354                   old_register_11_value
355                   old_register_12_value
356                   old_register_13_value
357                   old_register_14_value
358                   old_register_15_value
359                   old_register_16_value
360                   old_register_17_value
361                   old_register_20_value
362                   old_register_21_value
363                   old_register_22_value
364                   old_register_23_value
365                   old_register_24_value
366                   old_register_25_value
367                   old_register_26_value
368                   old_register_27_value
369                   old_register_30_value
370                   old_register_31_value
371                   old_register_32_value
372                   old_register_33_value
373                   old_register_34_value
374                   old_register_35_value
375                   old_register_36_value
376                   old_register_37_value
377                   old_register_A_value
378                   old_register_B_value
379                   old_register_DPL_value
380                   old_register_DPH_value
381                   old_register_Carry_value.
382
383definition update_register_01: Byte → RegisterMap → RegisterMap ≝
384  λb: Byte.
385  λm: RegisterMap.
386  let old_register_00_value ≝ register_00_value m in
387  let old_register_01_value ≝ register_01_value m in
388  let old_register_02_value ≝ register_02_value m in
389  let old_register_03_value ≝ register_03_value m in
390  let old_register_04_value ≝ register_04_value m in
391  let old_register_05_value ≝ register_05_value m in
392  let old_register_06_value ≝ register_06_value m in
393  let old_register_07_value ≝ register_07_value m in
394  let old_register_10_value ≝ register_01_value m in
395  let old_register_11_value ≝ register_01_value m in
396  let old_register_12_value ≝ register_02_value m in
397  let old_register_13_value ≝ register_03_value m in
398  let old_register_14_value ≝ register_04_value m in
399  let old_register_15_value ≝ register_05_value m in
400  let old_register_16_value ≝ register_06_value m in
401  let old_register_17_value ≝ register_07_value m in
402  let old_register_20_value ≝ register_01_value m in
403  let old_register_21_value ≝ register_02_value m in
404  let old_register_22_value ≝ register_02_value m in
405  let old_register_23_value ≝ register_03_value m in
406  let old_register_24_value ≝ register_04_value m in
407  let old_register_25_value ≝ register_05_value m in
408  let old_register_26_value ≝ register_06_value m in
409  let old_register_27_value ≝ register_07_value m in
410  let old_register_30_value ≝ register_01_value m in
411  let old_register_31_value ≝ register_02_value m in
412  let old_register_32_value ≝ register_02_value m in
413  let old_register_33_value ≝ register_03_value m in
414  let old_register_34_value ≝ register_04_value m in
415  let old_register_35_value ≝ register_05_value m in
416  let old_register_36_value ≝ register_06_value m in
417  let old_register_37_value ≝ register_07_value m in
418  let old_register_A_value ≝ register_A_value m in
419  let old_register_B_value ≝ register_B_value m in
420  let old_register_DPL_value ≝ register_DPL_value m in
421  let old_register_DPH_value ≝ register_DPH_value m in
422  let old_register_Carry_value ≝ register_Carry_value m in
423    mk_RegisterMap old_register_00_value
424                   (Some ? b)
425                   old_register_02_value
426                   old_register_03_value
427                   old_register_04_value
428                   old_register_05_value
429                   old_register_06_value
430                   old_register_07_value
431                   old_register_10_value
432                   old_register_11_value
433                   old_register_12_value
434                   old_register_13_value
435                   old_register_14_value
436                   old_register_15_value
437                   old_register_16_value
438                   old_register_17_value
439                   old_register_20_value
440                   old_register_21_value
441                   old_register_22_value
442                   old_register_23_value
443                   old_register_24_value
444                   old_register_25_value
445                   old_register_26_value
446                   old_register_27_value
447                   old_register_30_value
448                   old_register_31_value
449                   old_register_32_value
450                   old_register_33_value
451                   old_register_34_value
452                   old_register_35_value
453                   old_register_36_value
454                   old_register_37_value
455                   old_register_A_value
456                   old_register_B_value
457                   old_register_DPL_value
458                   old_register_DPH_value
459                   old_register_Carry_value.
460
461definition update_register_02: Byte → RegisterMap → RegisterMap ≝
462  λb: Byte.
463  λm: RegisterMap.
464  let old_register_00_value ≝ register_00_value m in
465  let old_register_01_value ≝ register_01_value m in
466  let old_register_02_value ≝ register_02_value m in
467  let old_register_03_value ≝ register_03_value m in
468  let old_register_04_value ≝ register_04_value m in
469  let old_register_05_value ≝ register_05_value m in
470  let old_register_06_value ≝ register_06_value m in
471  let old_register_07_value ≝ register_07_value m in
472  let old_register_10_value ≝ register_01_value m in
473  let old_register_11_value ≝ register_01_value m in
474  let old_register_12_value ≝ register_02_value m in
475  let old_register_13_value ≝ register_03_value m in
476  let old_register_14_value ≝ register_04_value m in
477  let old_register_15_value ≝ register_05_value m in
478  let old_register_16_value ≝ register_06_value m in
479  let old_register_17_value ≝ register_07_value m in
480  let old_register_20_value ≝ register_01_value m in
481  let old_register_21_value ≝ register_02_value m in
482  let old_register_22_value ≝ register_02_value m in
483  let old_register_23_value ≝ register_03_value m in
484  let old_register_24_value ≝ register_04_value m in
485  let old_register_25_value ≝ register_05_value m in
486  let old_register_26_value ≝ register_06_value m in
487  let old_register_27_value ≝ register_07_value m in
488  let old_register_30_value ≝ register_01_value m in
489  let old_register_31_value ≝ register_02_value m in
490  let old_register_32_value ≝ register_02_value m in
491  let old_register_33_value ≝ register_03_value m in
492  let old_register_34_value ≝ register_04_value m in
493  let old_register_35_value ≝ register_05_value m in
494  let old_register_36_value ≝ register_06_value m in
495  let old_register_37_value ≝ register_07_value m in
496  let old_register_A_value ≝ register_A_value m in
497  let old_register_B_value ≝ register_B_value m in
498  let old_register_DPL_value ≝ register_DPL_value m in
499  let old_register_DPH_value ≝ register_DPH_value m in
500  let old_register_Carry_value ≝ register_Carry_value m in
501    mk_RegisterMap old_register_00_value
502                   old_register_01_value
503                   (Some ? b)
504                   old_register_03_value
505                   old_register_04_value
506                   old_register_05_value
507                   old_register_06_value
508                   old_register_07_value
509                   old_register_10_value
510                   old_register_11_value
511                   old_register_12_value
512                   old_register_13_value
513                   old_register_14_value
514                   old_register_15_value
515                   old_register_16_value
516                   old_register_17_value
517                   old_register_20_value
518                   old_register_21_value
519                   old_register_22_value
520                   old_register_23_value
521                   old_register_24_value
522                   old_register_25_value
523                   old_register_26_value
524                   old_register_27_value
525                   old_register_30_value
526                   old_register_31_value
527                   old_register_32_value
528                   old_register_33_value
529                   old_register_34_value
530                   old_register_35_value
531                   old_register_36_value
532                   old_register_37_value
533                   old_register_A_value
534                   old_register_B_value
535                   old_register_DPL_value
536                   old_register_DPH_value
537                   old_register_Carry_value.
538
539definition update_register_03: Byte → RegisterMap → RegisterMap ≝
540  λb: Byte.
541  λm: RegisterMap.
542  let old_register_00_value ≝ register_00_value m in
543  let old_register_01_value ≝ register_01_value m in
544  let old_register_02_value ≝ register_02_value m in
545  let old_register_03_value ≝ register_03_value m in
546  let old_register_04_value ≝ register_04_value m in
547  let old_register_05_value ≝ register_05_value m in
548  let old_register_06_value ≝ register_06_value m in
549  let old_register_07_value ≝ register_07_value m in
550  let old_register_10_value ≝ register_01_value m in
551  let old_register_11_value ≝ register_01_value m in
552  let old_register_12_value ≝ register_02_value m in
553  let old_register_13_value ≝ register_03_value m in
554  let old_register_14_value ≝ register_04_value m in
555  let old_register_15_value ≝ register_05_value m in
556  let old_register_16_value ≝ register_06_value m in
557  let old_register_17_value ≝ register_07_value m in
558  let old_register_20_value ≝ register_01_value m in
559  let old_register_21_value ≝ register_02_value m in
560  let old_register_22_value ≝ register_02_value m in
561  let old_register_23_value ≝ register_03_value m in
562  let old_register_24_value ≝ register_04_value m in
563  let old_register_25_value ≝ register_05_value m in
564  let old_register_26_value ≝ register_06_value m in
565  let old_register_27_value ≝ register_07_value m in
566  let old_register_30_value ≝ register_01_value m in
567  let old_register_31_value ≝ register_02_value m in
568  let old_register_32_value ≝ register_02_value m in
569  let old_register_33_value ≝ register_03_value m in
570  let old_register_34_value ≝ register_04_value m in
571  let old_register_35_value ≝ register_05_value m in
572  let old_register_36_value ≝ register_06_value m in
573  let old_register_37_value ≝ register_07_value m in
574  let old_register_A_value ≝ register_A_value m in
575  let old_register_B_value ≝ register_B_value m in
576  let old_register_DPL_value ≝ register_DPL_value m in
577  let old_register_DPH_value ≝ register_DPH_value m in
578  let old_register_Carry_value ≝ register_Carry_value m in
579    mk_RegisterMap old_register_00_value
580                   old_register_01_value
581                   old_register_02_value
582                   (Some ? b)
583                   old_register_04_value
584                   old_register_05_value
585                   old_register_06_value
586                   old_register_07_value
587                   old_register_10_value
588                   old_register_11_value
589                   old_register_12_value
590                   old_register_13_value
591                   old_register_14_value
592                   old_register_15_value
593                   old_register_16_value
594                   old_register_17_value
595                   old_register_20_value
596                   old_register_21_value
597                   old_register_22_value
598                   old_register_23_value
599                   old_register_24_value
600                   old_register_25_value
601                   old_register_26_value
602                   old_register_27_value
603                   old_register_30_value
604                   old_register_31_value
605                   old_register_32_value
606                   old_register_33_value
607                   old_register_34_value
608                   old_register_35_value
609                   old_register_36_value
610                   old_register_37_value
611                   old_register_A_value
612                   old_register_B_value
613                   old_register_DPL_value
614                   old_register_DPH_value
615                   old_register_Carry_value.
616
617definition update_register_04: Byte → RegisterMap → RegisterMap ≝
618  λb: Byte.
619  λm: RegisterMap.
620  let old_register_00_value ≝ register_00_value m in
621  let old_register_01_value ≝ register_01_value m in
622  let old_register_02_value ≝ register_02_value m in
623  let old_register_03_value ≝ register_03_value m in
624  let old_register_04_value ≝ register_04_value m in
625  let old_register_05_value ≝ register_05_value m in
626  let old_register_06_value ≝ register_06_value m in
627  let old_register_07_value ≝ register_07_value m in
628  let old_register_10_value ≝ register_01_value m in
629  let old_register_11_value ≝ register_01_value m in
630  let old_register_12_value ≝ register_02_value m in
631  let old_register_13_value ≝ register_03_value m in
632  let old_register_14_value ≝ register_04_value m in
633  let old_register_15_value ≝ register_05_value m in
634  let old_register_16_value ≝ register_06_value m in
635  let old_register_17_value ≝ register_07_value m in
636  let old_register_20_value ≝ register_01_value m in
637  let old_register_21_value ≝ register_02_value m in
638  let old_register_22_value ≝ register_02_value m in
639  let old_register_23_value ≝ register_03_value m in
640  let old_register_24_value ≝ register_04_value m in
641  let old_register_25_value ≝ register_05_value m in
642  let old_register_26_value ≝ register_06_value m in
643  let old_register_27_value ≝ register_07_value m in
644  let old_register_30_value ≝ register_01_value m in
645  let old_register_31_value ≝ register_02_value m in
646  let old_register_32_value ≝ register_02_value m in
647  let old_register_33_value ≝ register_03_value m in
648  let old_register_34_value ≝ register_04_value m in
649  let old_register_35_value ≝ register_05_value m in
650  let old_register_36_value ≝ register_06_value m in
651  let old_register_37_value ≝ register_07_value m in
652  let old_register_A_value ≝ register_A_value m in
653  let old_register_B_value ≝ register_B_value m in
654  let old_register_DPL_value ≝ register_DPL_value m in
655  let old_register_DPH_value ≝ register_DPH_value m in
656  let old_register_Carry_value ≝ register_Carry_value m in
657    mk_RegisterMap old_register_00_value
658                   old_register_01_value
659                   old_register_02_value
660                   old_register_03_value
661                   (Some ? b)
662                   old_register_05_value
663                   old_register_06_value
664                   old_register_07_value
665                   old_register_10_value
666                   old_register_11_value
667                   old_register_12_value
668                   old_register_13_value
669                   old_register_14_value
670                   old_register_15_value
671                   old_register_16_value
672                   old_register_17_value
673                   old_register_20_value
674                   old_register_21_value
675                   old_register_22_value
676                   old_register_23_value
677                   old_register_24_value
678                   old_register_25_value
679                   old_register_26_value
680                   old_register_27_value
681                   old_register_30_value
682                   old_register_31_value
683                   old_register_32_value
684                   old_register_33_value
685                   old_register_34_value
686                   old_register_35_value
687                   old_register_36_value
688                   old_register_37_value
689                   old_register_A_value
690                   old_register_B_value
691                   old_register_DPL_value
692                   old_register_DPH_value
693                   old_register_Carry_value.
694
695definition update_register_05: Byte → RegisterMap → RegisterMap ≝
696  λb: Byte.
697  λm: RegisterMap.
698  let old_register_00_value ≝ register_00_value m in
699  let old_register_01_value ≝ register_01_value m in
700  let old_register_02_value ≝ register_02_value m in
701  let old_register_03_value ≝ register_03_value m in
702  let old_register_04_value ≝ register_04_value m in
703  let old_register_05_value ≝ register_05_value m in
704  let old_register_06_value ≝ register_06_value m in
705  let old_register_07_value ≝ register_07_value m in
706  let old_register_10_value ≝ register_01_value m in
707  let old_register_11_value ≝ register_01_value m in
708  let old_register_12_value ≝ register_02_value m in
709  let old_register_13_value ≝ register_03_value m in
710  let old_register_14_value ≝ register_04_value m in
711  let old_register_15_value ≝ register_05_value m in
712  let old_register_16_value ≝ register_06_value m in
713  let old_register_17_value ≝ register_07_value m in
714  let old_register_20_value ≝ register_01_value m in
715  let old_register_21_value ≝ register_02_value m in
716  let old_register_22_value ≝ register_02_value m in
717  let old_register_23_value ≝ register_03_value m in
718  let old_register_24_value ≝ register_04_value m in
719  let old_register_25_value ≝ register_05_value m in
720  let old_register_26_value ≝ register_06_value m in
721  let old_register_27_value ≝ register_07_value m in
722  let old_register_30_value ≝ register_01_value m in
723  let old_register_31_value ≝ register_02_value m in
724  let old_register_32_value ≝ register_02_value m in
725  let old_register_33_value ≝ register_03_value m in
726  let old_register_34_value ≝ register_04_value m in
727  let old_register_35_value ≝ register_05_value m in
728  let old_register_36_value ≝ register_06_value m in
729  let old_register_37_value ≝ register_07_value m in
730  let old_register_A_value ≝ register_A_value m in
731  let old_register_B_value ≝ register_B_value m in
732  let old_register_DPL_value ≝ register_DPL_value m in
733  let old_register_DPH_value ≝ register_DPH_value m in
734  let old_register_Carry_value ≝ register_Carry_value m in
735    mk_RegisterMap old_register_00_value
736                   old_register_01_value
737                   old_register_02_value
738                   old_register_03_value
739                   old_register_04_value
740                   (Some ? b)
741                   old_register_06_value
742                   old_register_07_value
743                   old_register_10_value
744                   old_register_11_value
745                   old_register_12_value
746                   old_register_13_value
747                   old_register_14_value
748                   old_register_15_value
749                   old_register_16_value
750                   old_register_17_value
751                   old_register_20_value
752                   old_register_21_value
753                   old_register_22_value
754                   old_register_23_value
755                   old_register_24_value
756                   old_register_25_value
757                   old_register_26_value
758                   old_register_27_value
759                   old_register_30_value
760                   old_register_31_value
761                   old_register_32_value
762                   old_register_33_value
763                   old_register_34_value
764                   old_register_35_value
765                   old_register_36_value
766                   old_register_37_value
767                   old_register_A_value
768                   old_register_B_value
769                   old_register_DPL_value
770                   old_register_DPH_value
771                   old_register_Carry_value.
772
773definition update_register_06: Byte → RegisterMap → RegisterMap ≝
774  λb: Byte.
775  λm: RegisterMap.
776  let old_register_00_value ≝ register_00_value m in
777  let old_register_01_value ≝ register_01_value m in
778  let old_register_02_value ≝ register_02_value m in
779  let old_register_03_value ≝ register_03_value m in
780  let old_register_04_value ≝ register_04_value m in
781  let old_register_05_value ≝ register_05_value m in
782  let old_register_06_value ≝ register_06_value m in
783  let old_register_07_value ≝ register_07_value m in
784  let old_register_10_value ≝ register_01_value m in
785  let old_register_11_value ≝ register_01_value m in
786  let old_register_12_value ≝ register_02_value m in
787  let old_register_13_value ≝ register_03_value m in
788  let old_register_14_value ≝ register_04_value m in
789  let old_register_15_value ≝ register_05_value m in
790  let old_register_16_value ≝ register_06_value m in
791  let old_register_17_value ≝ register_07_value m in
792  let old_register_20_value ≝ register_01_value m in
793  let old_register_21_value ≝ register_02_value m in
794  let old_register_22_value ≝ register_02_value m in
795  let old_register_23_value ≝ register_03_value m in
796  let old_register_24_value ≝ register_04_value m in
797  let old_register_25_value ≝ register_05_value m in
798  let old_register_26_value ≝ register_06_value m in
799  let old_register_27_value ≝ register_07_value m in
800  let old_register_30_value ≝ register_01_value m in
801  let old_register_31_value ≝ register_02_value m in
802  let old_register_32_value ≝ register_02_value m in
803  let old_register_33_value ≝ register_03_value m in
804  let old_register_34_value ≝ register_04_value m in
805  let old_register_35_value ≝ register_05_value m in
806  let old_register_36_value ≝ register_06_value m in
807  let old_register_37_value ≝ register_07_value m in
808  let old_register_A_value ≝ register_A_value m in
809  let old_register_B_value ≝ register_B_value m in
810  let old_register_DPL_value ≝ register_DPL_value m in
811  let old_register_DPH_value ≝ register_DPH_value m in
812  let old_register_Carry_value ≝ register_Carry_value m in
813    mk_RegisterMap old_register_00_value
814                   old_register_01_value
815                   old_register_02_value
816                   old_register_03_value
817                   old_register_04_value
818                   old_register_05_value
819                   (Some ? b)
820                   old_register_07_value
821                   old_register_10_value
822                   old_register_11_value
823                   old_register_12_value
824                   old_register_13_value
825                   old_register_14_value
826                   old_register_15_value
827                   old_register_16_value
828                   old_register_17_value
829                   old_register_20_value
830                   old_register_21_value
831                   old_register_22_value
832                   old_register_23_value
833                   old_register_24_value
834                   old_register_25_value
835                   old_register_26_value
836                   old_register_27_value
837                   old_register_30_value
838                   old_register_31_value
839                   old_register_32_value
840                   old_register_33_value
841                   old_register_34_value
842                   old_register_35_value
843                   old_register_36_value
844                   old_register_37_value
845                   old_register_A_value
846                   old_register_B_value
847                   old_register_DPL_value
848                   old_register_DPH_value
849                   old_register_Carry_value.
850
851definition update_register_07: Byte → RegisterMap → RegisterMap ≝
852  λb: Byte.
853  λm: RegisterMap.
854  let old_register_00_value ≝ register_00_value m in
855  let old_register_01_value ≝ register_01_value m in
856  let old_register_02_value ≝ register_02_value m in
857  let old_register_03_value ≝ register_03_value m in
858  let old_register_04_value ≝ register_04_value m in
859  let old_register_05_value ≝ register_05_value m in
860  let old_register_06_value ≝ register_06_value m in
861  let old_register_07_value ≝ register_07_value m in
862  let old_register_10_value ≝ register_01_value m in
863  let old_register_11_value ≝ register_01_value m in
864  let old_register_12_value ≝ register_02_value m in
865  let old_register_13_value ≝ register_03_value m in
866  let old_register_14_value ≝ register_04_value m in
867  let old_register_15_value ≝ register_05_value m in
868  let old_register_16_value ≝ register_06_value m in
869  let old_register_17_value ≝ register_07_value m in
870  let old_register_20_value ≝ register_01_value m in
871  let old_register_21_value ≝ register_02_value m in
872  let old_register_22_value ≝ register_02_value m in
873  let old_register_23_value ≝ register_03_value m in
874  let old_register_24_value ≝ register_04_value m in
875  let old_register_25_value ≝ register_05_value m in
876  let old_register_26_value ≝ register_06_value m in
877  let old_register_27_value ≝ register_07_value m in
878  let old_register_30_value ≝ register_01_value m in
879  let old_register_31_value ≝ register_02_value m in
880  let old_register_32_value ≝ register_02_value m in
881  let old_register_33_value ≝ register_03_value m in
882  let old_register_34_value ≝ register_04_value m in
883  let old_register_35_value ≝ register_05_value m in
884  let old_register_36_value ≝ register_06_value m in
885  let old_register_37_value ≝ register_07_value m in
886  let old_register_A_value ≝ register_A_value m in
887  let old_register_B_value ≝ register_B_value m in
888  let old_register_DPL_value ≝ register_DPL_value m in
889  let old_register_DPH_value ≝ register_DPH_value m in
890  let old_register_Carry_value ≝ register_Carry_value m in
891    mk_RegisterMap old_register_00_value
892                   old_register_01_value
893                   old_register_02_value
894                   old_register_03_value
895                   old_register_04_value
896                   old_register_05_value
897                   old_register_06_value
898                   (Some ? b)
899                   old_register_10_value
900                   old_register_11_value
901                   old_register_12_value
902                   old_register_13_value
903                   old_register_14_value
904                   old_register_15_value
905                   old_register_16_value
906                   old_register_17_value
907                   old_register_20_value
908                   old_register_21_value
909                   old_register_22_value
910                   old_register_23_value
911                   old_register_24_value
912                   old_register_25_value
913                   old_register_26_value
914                   old_register_27_value
915                   old_register_30_value
916                   old_register_31_value
917                   old_register_32_value
918                   old_register_33_value
919                   old_register_34_value
920                   old_register_35_value
921                   old_register_36_value
922                   old_register_37_value
923                   old_register_A_value
924                   old_register_B_value
925                   old_register_DPL_value
926                   old_register_DPH_value
927                   old_register_Carry_value.
928
929definition update_register_10: Byte → RegisterMap → RegisterMap ≝
930  λb: Byte.
931  λm: RegisterMap.
932  let old_register_00_value ≝ register_00_value m in
933  let old_register_01_value ≝ register_01_value m in
934  let old_register_02_value ≝ register_02_value m in
935  let old_register_03_value ≝ register_03_value m in
936  let old_register_04_value ≝ register_04_value m in
937  let old_register_05_value ≝ register_05_value m in
938  let old_register_06_value ≝ register_06_value m in
939  let old_register_07_value ≝ register_07_value m in
940  let old_register_10_value ≝ register_01_value m in
941  let old_register_11_value ≝ register_01_value m in
942  let old_register_12_value ≝ register_02_value m in
943  let old_register_13_value ≝ register_03_value m in
944  let old_register_14_value ≝ register_04_value m in
945  let old_register_15_value ≝ register_05_value m in
946  let old_register_16_value ≝ register_06_value m in
947  let old_register_17_value ≝ register_07_value m in
948  let old_register_20_value ≝ register_01_value m in
949  let old_register_21_value ≝ register_02_value m in
950  let old_register_22_value ≝ register_02_value m in
951  let old_register_23_value ≝ register_03_value m in
952  let old_register_24_value ≝ register_04_value m in
953  let old_register_25_value ≝ register_05_value m in
954  let old_register_26_value ≝ register_06_value m in
955  let old_register_27_value ≝ register_07_value m in
956  let old_register_30_value ≝ register_01_value m in
957  let old_register_31_value ≝ register_02_value m in
958  let old_register_32_value ≝ register_02_value m in
959  let old_register_33_value ≝ register_03_value m in
960  let old_register_34_value ≝ register_04_value m in
961  let old_register_35_value ≝ register_05_value m in
962  let old_register_36_value ≝ register_06_value m in
963  let old_register_37_value ≝ register_07_value m in
964  let old_register_A_value ≝ register_A_value m in
965  let old_register_B_value ≝ register_B_value m in
966  let old_register_DPL_value ≝ register_DPL_value m in
967  let old_register_DPH_value ≝ register_DPH_value m in
968  let old_register_Carry_value ≝ register_Carry_value m in
969    mk_RegisterMap old_register_00_value
970                   old_register_01_value
971                   old_register_02_value
972                   old_register_03_value
973                   old_register_04_value
974                   old_register_05_value
975                   old_register_06_value
976                   old_register_07_value
977                   (Some ? b)
978                   old_register_11_value
979                   old_register_12_value
980                   old_register_13_value
981                   old_register_14_value
982                   old_register_15_value
983                   old_register_16_value
984                   old_register_17_value
985                   old_register_20_value
986                   old_register_21_value
987                   old_register_22_value
988                   old_register_23_value
989                   old_register_24_value
990                   old_register_25_value
991                   old_register_26_value
992                   old_register_27_value
993                   old_register_30_value
994                   old_register_31_value
995                   old_register_32_value
996                   old_register_33_value
997                   old_register_34_value
998                   old_register_35_value
999                   old_register_36_value
1000                   old_register_37_value
1001                   old_register_A_value
1002                   old_register_B_value
1003                   old_register_DPL_value
1004                   old_register_DPH_value
1005                   old_register_Carry_value.
1006
1007definition update_register_11: Byte → RegisterMap → RegisterMap ≝
1008  λb: Byte.
1009  λm: RegisterMap.
1010  let old_register_00_value ≝ register_00_value m in
1011  let old_register_01_value ≝ register_01_value m in
1012  let old_register_02_value ≝ register_02_value m in
1013  let old_register_03_value ≝ register_03_value m in
1014  let old_register_04_value ≝ register_04_value m in
1015  let old_register_05_value ≝ register_05_value m in
1016  let old_register_06_value ≝ register_06_value m in
1017  let old_register_07_value ≝ register_07_value m in
1018  let old_register_10_value ≝ register_01_value m in
1019  let old_register_11_value ≝ register_01_value m in
1020  let old_register_12_value ≝ register_02_value m in
1021  let old_register_13_value ≝ register_03_value m in
1022  let old_register_14_value ≝ register_04_value m in
1023  let old_register_15_value ≝ register_05_value m in
1024  let old_register_16_value ≝ register_06_value m in
1025  let old_register_17_value ≝ register_07_value m in
1026  let old_register_20_value ≝ register_01_value m in
1027  let old_register_21_value ≝ register_02_value m in
1028  let old_register_22_value ≝ register_02_value m in
1029  let old_register_23_value ≝ register_03_value m in
1030  let old_register_24_value ≝ register_04_value m in
1031  let old_register_25_value ≝ register_05_value m in
1032  let old_register_26_value ≝ register_06_value m in
1033  let old_register_27_value ≝ register_07_value m in
1034  let old_register_30_value ≝ register_01_value m in
1035  let old_register_31_value ≝ register_02_value m in
1036  let old_register_32_value ≝ register_02_value m in
1037  let old_register_33_value ≝ register_03_value m in
1038  let old_register_34_value ≝ register_04_value m in
1039  let old_register_35_value ≝ register_05_value m in
1040  let old_register_36_value ≝ register_06_value m in
1041  let old_register_37_value ≝ register_07_value m in
1042  let old_register_A_value ≝ register_A_value m in
1043  let old_register_B_value ≝ register_B_value m in
1044  let old_register_DPL_value ≝ register_DPL_value m in
1045  let old_register_DPH_value ≝ register_DPH_value m in
1046  let old_register_Carry_value ≝ register_Carry_value m in
1047    mk_RegisterMap old_register_00_value
1048                   old_register_01_value
1049                   old_register_02_value
1050                   old_register_03_value
1051                   old_register_04_value
1052                   old_register_05_value
1053                   old_register_06_value
1054                   old_register_07_value
1055                   old_register_10_value
1056                   (Some ? b)
1057                   old_register_12_value
1058                   old_register_13_value
1059                   old_register_14_value
1060                   old_register_15_value
1061                   old_register_16_value
1062                   old_register_17_value
1063                   old_register_20_value
1064                   old_register_21_value
1065                   old_register_22_value
1066                   old_register_23_value
1067                   old_register_24_value
1068                   old_register_25_value
1069                   old_register_26_value
1070                   old_register_27_value
1071                   old_register_30_value
1072                   old_register_31_value
1073                   old_register_32_value
1074                   old_register_33_value
1075                   old_register_34_value
1076                   old_register_35_value
1077                   old_register_36_value
1078                   old_register_37_value
1079                   old_register_A_value
1080                   old_register_B_value
1081                   old_register_DPL_value
1082                   old_register_DPH_value
1083                   old_register_Carry_value.
1084
1085definition update_register_12: Byte → RegisterMap → RegisterMap ≝
1086  λb: Byte.
1087  λm: RegisterMap.
1088  let old_register_00_value ≝ register_00_value m in
1089  let old_register_01_value ≝ register_01_value m in
1090  let old_register_02_value ≝ register_02_value m in
1091  let old_register_03_value ≝ register_03_value m in
1092  let old_register_04_value ≝ register_04_value m in
1093  let old_register_05_value ≝ register_05_value m in
1094  let old_register_06_value ≝ register_06_value m in
1095  let old_register_07_value ≝ register_07_value m in
1096  let old_register_10_value ≝ register_01_value m in
1097  let old_register_11_value ≝ register_01_value m in
1098  let old_register_12_value ≝ register_02_value m in
1099  let old_register_13_value ≝ register_03_value m in
1100  let old_register_14_value ≝ register_04_value m in
1101  let old_register_15_value ≝ register_05_value m in
1102  let old_register_16_value ≝ register_06_value m in
1103  let old_register_17_value ≝ register_07_value m in
1104  let old_register_20_value ≝ register_01_value m in
1105  let old_register_21_value ≝ register_02_value m in
1106  let old_register_22_value ≝ register_02_value m in
1107  let old_register_23_value ≝ register_03_value m in
1108  let old_register_24_value ≝ register_04_value m in
1109  let old_register_25_value ≝ register_05_value m in
1110  let old_register_26_value ≝ register_06_value m in
1111  let old_register_27_value ≝ register_07_value m in
1112  let old_register_30_value ≝ register_01_value m in
1113  let old_register_31_value ≝ register_02_value m in
1114  let old_register_32_value ≝ register_02_value m in
1115  let old_register_33_value ≝ register_03_value m in
1116  let old_register_34_value ≝ register_04_value m in
1117  let old_register_35_value ≝ register_05_value m in
1118  let old_register_36_value ≝ register_06_value m in
1119  let old_register_37_value ≝ register_07_value m in
1120  let old_register_A_value ≝ register_A_value m in
1121  let old_register_B_value ≝ register_B_value m in
1122  let old_register_DPL_value ≝ register_DPL_value m in
1123  let old_register_DPH_value ≝ register_DPH_value m in
1124  let old_register_Carry_value ≝ register_Carry_value m in
1125    mk_RegisterMap old_register_00_value
1126                   old_register_01_value
1127                   old_register_02_value
1128                   old_register_03_value
1129                   old_register_04_value
1130                   old_register_05_value
1131                   old_register_06_value
1132                   old_register_07_value
1133                   old_register_10_value
1134                   old_register_11_value
1135                   (Some ? b)
1136                   old_register_13_value
1137                   old_register_14_value
1138                   old_register_15_value
1139                   old_register_16_value
1140                   old_register_17_value
1141                   old_register_20_value
1142                   old_register_21_value
1143                   old_register_22_value
1144                   old_register_23_value
1145                   old_register_24_value
1146                   old_register_25_value
1147                   old_register_26_value
1148                   old_register_27_value
1149                   old_register_30_value
1150                   old_register_31_value
1151                   old_register_32_value
1152                   old_register_33_value
1153                   old_register_34_value
1154                   old_register_35_value
1155                   old_register_36_value
1156                   old_register_37_value
1157                   old_register_A_value
1158                   old_register_B_value
1159                   old_register_DPL_value
1160                   old_register_DPH_value
1161                   old_register_Carry_value.
1162
1163definition update_register_13: Byte → RegisterMap → RegisterMap ≝
1164  λb: Byte.
1165  λm: RegisterMap.
1166  let old_register_00_value ≝ register_00_value m in
1167  let old_register_01_value ≝ register_01_value m in
1168  let old_register_02_value ≝ register_02_value m in
1169  let old_register_03_value ≝ register_03_value m in
1170  let old_register_04_value ≝ register_04_value m in
1171  let old_register_05_value ≝ register_05_value m in
1172  let old_register_06_value ≝ register_06_value m in
1173  let old_register_07_value ≝ register_07_value m in
1174  let old_register_10_value ≝ register_01_value m in
1175  let old_register_11_value ≝ register_01_value m in
1176  let old_register_12_value ≝ register_02_value m in
1177  let old_register_13_value ≝ register_03_value m in
1178  let old_register_14_value ≝ register_04_value m in
1179  let old_register_15_value ≝ register_05_value m in
1180  let old_register_16_value ≝ register_06_value m in
1181  let old_register_17_value ≝ register_07_value m in
1182  let old_register_20_value ≝ register_01_value m in
1183  let old_register_21_value ≝ register_02_value m in
1184  let old_register_22_value ≝ register_02_value m in
1185  let old_register_23_value ≝ register_03_value m in
1186  let old_register_24_value ≝ register_04_value m in
1187  let old_register_25_value ≝ register_05_value m in
1188  let old_register_26_value ≝ register_06_value m in
1189  let old_register_27_value ≝ register_07_value m in
1190  let old_register_30_value ≝ register_01_value m in
1191  let old_register_31_value ≝ register_02_value m in
1192  let old_register_32_value ≝ register_02_value m in
1193  let old_register_33_value ≝ register_03_value m in
1194  let old_register_34_value ≝ register_04_value m in
1195  let old_register_35_value ≝ register_05_value m in
1196  let old_register_36_value ≝ register_06_value m in
1197  let old_register_37_value ≝ register_07_value m in
1198  let old_register_A_value ≝ register_A_value m in
1199  let old_register_B_value ≝ register_B_value m in
1200  let old_register_DPL_value ≝ register_DPL_value m in
1201  let old_register_DPH_value ≝ register_DPH_value m in
1202  let old_register_Carry_value ≝ register_Carry_value m in
1203    mk_RegisterMap old_register_00_value
1204                   old_register_01_value
1205                   old_register_02_value
1206                   old_register_03_value
1207                   old_register_04_value
1208                   old_register_05_value
1209                   old_register_06_value
1210                   old_register_07_value
1211                   old_register_10_value
1212                   old_register_11_value
1213                   old_register_12_value
1214                   (Some ? b)
1215                   old_register_14_value
1216                   old_register_15_value
1217                   old_register_16_value
1218                   old_register_17_value
1219                   old_register_20_value
1220                   old_register_21_value
1221                   old_register_22_value
1222                   old_register_23_value
1223                   old_register_24_value
1224                   old_register_25_value
1225                   old_register_26_value
1226                   old_register_27_value
1227                   old_register_30_value
1228                   old_register_31_value
1229                   old_register_32_value
1230                   old_register_33_value
1231                   old_register_34_value
1232                   old_register_35_value
1233                   old_register_36_value
1234                   old_register_37_value
1235                   old_register_A_value
1236                   old_register_B_value
1237                   old_register_DPL_value
1238                   old_register_DPH_value
1239                   old_register_Carry_value.
1240
1241definition update_register_14: Byte → RegisterMap → RegisterMap ≝
1242  λb: Byte.
1243  λm: RegisterMap.
1244  let old_register_00_value ≝ register_00_value m in
1245  let old_register_01_value ≝ register_01_value m in
1246  let old_register_02_value ≝ register_02_value m in
1247  let old_register_03_value ≝ register_03_value m in
1248  let old_register_04_value ≝ register_04_value m in
1249  let old_register_05_value ≝ register_05_value m in
1250  let old_register_06_value ≝ register_06_value m in
1251  let old_register_07_value ≝ register_07_value m in
1252  let old_register_10_value ≝ register_01_value m in
1253  let old_register_11_value ≝ register_01_value m in
1254  let old_register_12_value ≝ register_02_value m in
1255  let old_register_13_value ≝ register_03_value m in
1256  let old_register_14_value ≝ register_04_value m in
1257  let old_register_15_value ≝ register_05_value m in
1258  let old_register_16_value ≝ register_06_value m in
1259  let old_register_17_value ≝ register_07_value m in
1260  let old_register_20_value ≝ register_01_value m in
1261  let old_register_21_value ≝ register_02_value m in
1262  let old_register_22_value ≝ register_02_value m in
1263  let old_register_23_value ≝ register_03_value m in
1264  let old_register_24_value ≝ register_04_value m in
1265  let old_register_25_value ≝ register_05_value m in
1266  let old_register_26_value ≝ register_06_value m in
1267  let old_register_27_value ≝ register_07_value m in
1268  let old_register_30_value ≝ register_01_value m in
1269  let old_register_31_value ≝ register_02_value m in
1270  let old_register_32_value ≝ register_02_value m in
1271  let old_register_33_value ≝ register_03_value m in
1272  let old_register_34_value ≝ register_04_value m in
1273  let old_register_35_value ≝ register_05_value m in
1274  let old_register_36_value ≝ register_06_value m in
1275  let old_register_37_value ≝ register_07_value m in
1276  let old_register_A_value ≝ register_A_value m in
1277  let old_register_B_value ≝ register_B_value m in
1278  let old_register_DPL_value ≝ register_DPL_value m in
1279  let old_register_DPH_value ≝ register_DPH_value m in
1280  let old_register_Carry_value ≝ register_Carry_value m in
1281    mk_RegisterMap old_register_00_value
1282                   old_register_01_value
1283                   old_register_02_value
1284                   old_register_03_value
1285                   old_register_04_value
1286                   old_register_05_value
1287                   old_register_06_value
1288                   old_register_07_value
1289                   old_register_10_value
1290                   old_register_11_value
1291                   old_register_12_value
1292                   old_register_13_value
1293                   (Some ? b)
1294                   old_register_15_value
1295                   old_register_16_value
1296                   old_register_17_value
1297                   old_register_20_value
1298                   old_register_21_value
1299                   old_register_22_value
1300                   old_register_23_value
1301                   old_register_24_value
1302                   old_register_25_value
1303                   old_register_26_value
1304                   old_register_27_value
1305                   old_register_30_value
1306                   old_register_31_value
1307                   old_register_32_value
1308                   old_register_33_value
1309                   old_register_34_value
1310                   old_register_35_value
1311                   old_register_36_value
1312                   old_register_37_value
1313                   old_register_A_value
1314                   old_register_B_value
1315                   old_register_DPL_value
1316                   old_register_DPH_value
1317                   old_register_Carry_value.
1318
1319definition update_register_15: Byte → RegisterMap → RegisterMap ≝
1320  λb: Byte.
1321  λm: RegisterMap.
1322  let old_register_00_value ≝ register_00_value m in
1323  let old_register_01_value ≝ register_01_value m in
1324  let old_register_02_value ≝ register_02_value m in
1325  let old_register_03_value ≝ register_03_value m in
1326  let old_register_04_value ≝ register_04_value m in
1327  let old_register_05_value ≝ register_05_value m in
1328  let old_register_06_value ≝ register_06_value m in
1329  let old_register_07_value ≝ register_07_value m in
1330  let old_register_10_value ≝ register_01_value m in
1331  let old_register_11_value ≝ register_01_value m in
1332  let old_register_12_value ≝ register_02_value m in
1333  let old_register_13_value ≝ register_03_value m in
1334  let old_register_14_value ≝ register_04_value m in
1335  let old_register_15_value ≝ register_05_value m in
1336  let old_register_16_value ≝ register_06_value m in
1337  let old_register_17_value ≝ register_07_value m in
1338  let old_register_20_value ≝ register_01_value m in
1339  let old_register_21_value ≝ register_02_value m in
1340  let old_register_22_value ≝ register_02_value m in
1341  let old_register_23_value ≝ register_03_value m in
1342  let old_register_24_value ≝ register_04_value m in
1343  let old_register_25_value ≝ register_05_value m in
1344  let old_register_26_value ≝ register_06_value m in
1345  let old_register_27_value ≝ register_07_value m in
1346  let old_register_30_value ≝ register_01_value m in
1347  let old_register_31_value ≝ register_02_value m in
1348  let old_register_32_value ≝ register_02_value m in
1349  let old_register_33_value ≝ register_03_value m in
1350  let old_register_34_value ≝ register_04_value m in
1351  let old_register_35_value ≝ register_05_value m in
1352  let old_register_36_value ≝ register_06_value m in
1353  let old_register_37_value ≝ register_07_value m in
1354  let old_register_A_value ≝ register_A_value m in
1355  let old_register_B_value ≝ register_B_value m in
1356  let old_register_DPL_value ≝ register_DPL_value m in
1357  let old_register_DPH_value ≝ register_DPH_value m in
1358  let old_register_Carry_value ≝ register_Carry_value m in
1359    mk_RegisterMap old_register_00_value
1360                   old_register_01_value
1361                   old_register_02_value
1362                   old_register_03_value
1363                   old_register_04_value
1364                   old_register_05_value
1365                   old_register_06_value
1366                   old_register_07_value
1367                   old_register_10_value
1368                   old_register_11_value
1369                   old_register_12_value
1370                   old_register_13_value
1371                   old_register_14_value
1372                   (Some ? b)
1373                   old_register_16_value
1374                   old_register_17_value
1375                   old_register_20_value
1376                   old_register_21_value
1377                   old_register_22_value
1378                   old_register_23_value
1379                   old_register_24_value
1380                   old_register_25_value
1381                   old_register_26_value
1382                   old_register_27_value
1383                   old_register_30_value
1384                   old_register_31_value
1385                   old_register_32_value
1386                   old_register_33_value
1387                   old_register_34_value
1388                   old_register_35_value
1389                   old_register_36_value
1390                   old_register_37_value
1391                   old_register_A_value
1392                   old_register_B_value
1393                   old_register_DPL_value
1394                   old_register_DPH_value
1395                   old_register_Carry_value.
1396
1397definition update_register_16: Byte → RegisterMap → RegisterMap ≝
1398  λb: Byte.
1399  λm: RegisterMap.
1400  let old_register_00_value ≝ register_00_value m in
1401  let old_register_01_value ≝ register_01_value m in
1402  let old_register_02_value ≝ register_02_value m in
1403  let old_register_03_value ≝ register_03_value m in
1404  let old_register_04_value ≝ register_04_value m in
1405  let old_register_05_value ≝ register_05_value m in
1406  let old_register_06_value ≝ register_06_value m in
1407  let old_register_07_value ≝ register_07_value m in
1408  let old_register_10_value ≝ register_01_value m in
1409  let old_register_11_value ≝ register_01_value m in
1410  let old_register_12_value ≝ register_02_value m in
1411  let old_register_13_value ≝ register_03_value m in
1412  let old_register_14_value ≝ register_04_value m in
1413  let old_register_15_value ≝ register_05_value m in
1414  let old_register_16_value ≝ register_06_value m in
1415  let old_register_17_value ≝ register_07_value m in
1416  let old_register_20_value ≝ register_01_value m in
1417  let old_register_21_value ≝ register_02_value m in
1418  let old_register_22_value ≝ register_02_value m in
1419  let old_register_23_value ≝ register_03_value m in
1420  let old_register_24_value ≝ register_04_value m in
1421  let old_register_25_value ≝ register_05_value m in
1422  let old_register_26_value ≝ register_06_value m in
1423  let old_register_27_value ≝ register_07_value m in
1424  let old_register_30_value ≝ register_01_value m in
1425  let old_register_31_value ≝ register_02_value m in
1426  let old_register_32_value ≝ register_02_value m in
1427  let old_register_33_value ≝ register_03_value m in
1428  let old_register_34_value ≝ register_04_value m in
1429  let old_register_35_value ≝ register_05_value m in
1430  let old_register_36_value ≝ register_06_value m in
1431  let old_register_37_value ≝ register_07_value m in
1432  let old_register_A_value ≝ register_A_value m in
1433  let old_register_B_value ≝ register_B_value m in
1434  let old_register_DPL_value ≝ register_DPL_value m in
1435  let old_register_DPH_value ≝ register_DPH_value m in
1436  let old_register_Carry_value ≝ register_Carry_value m in
1437    mk_RegisterMap old_register_00_value
1438                   old_register_01_value
1439                   old_register_02_value
1440                   old_register_03_value
1441                   old_register_04_value
1442                   old_register_05_value
1443                   old_register_06_value
1444                   old_register_07_value
1445                   old_register_10_value
1446                   old_register_11_value
1447                   old_register_12_value
1448                   old_register_13_value
1449                   old_register_14_value
1450                   old_register_15_value
1451                   (Some ? b)
1452                   old_register_17_value
1453                   old_register_20_value
1454                   old_register_21_value
1455                   old_register_22_value
1456                   old_register_23_value
1457                   old_register_24_value
1458                   old_register_25_value
1459                   old_register_26_value
1460                   old_register_27_value
1461                   old_register_30_value
1462                   old_register_31_value
1463                   old_register_32_value
1464                   old_register_33_value
1465                   old_register_34_value
1466                   old_register_35_value
1467                   old_register_36_value
1468                   old_register_37_value
1469                   old_register_A_value
1470                   old_register_B_value
1471                   old_register_DPL_value
1472                   old_register_DPH_value
1473                   old_register_Carry_value.
1474
1475definition update_register_17: Byte → RegisterMap → RegisterMap ≝
1476  λb: Byte.
1477  λm: RegisterMap.
1478  let old_register_00_value ≝ register_00_value m in
1479  let old_register_01_value ≝ register_01_value m in
1480  let old_register_02_value ≝ register_02_value m in
1481  let old_register_03_value ≝ register_03_value m in
1482  let old_register_04_value ≝ register_04_value m in
1483  let old_register_05_value ≝ register_05_value m in
1484  let old_register_06_value ≝ register_06_value m in
1485  let old_register_07_value ≝ register_07_value m in
1486  let old_register_10_value ≝ register_01_value m in
1487  let old_register_11_value ≝ register_01_value m in
1488  let old_register_12_value ≝ register_02_value m in
1489  let old_register_13_value ≝ register_03_value m in
1490  let old_register_14_value ≝ register_04_value m in
1491  let old_register_15_value ≝ register_05_value m in
1492  let old_register_16_value ≝ register_06_value m in
1493  let old_register_17_value ≝ register_07_value m in
1494  let old_register_20_value ≝ register_01_value m in
1495  let old_register_21_value ≝ register_02_value m in
1496  let old_register_22_value ≝ register_02_value m in
1497  let old_register_23_value ≝ register_03_value m in
1498  let old_register_24_value ≝ register_04_value m in
1499  let old_register_25_value ≝ register_05_value m in
1500  let old_register_26_value ≝ register_06_value m in
1501  let old_register_27_value ≝ register_07_value m in
1502  let old_register_30_value ≝ register_01_value m in
1503  let old_register_31_value ≝ register_02_value m in
1504  let old_register_32_value ≝ register_02_value m in
1505  let old_register_33_value ≝ register_03_value m in
1506  let old_register_34_value ≝ register_04_value m in
1507  let old_register_35_value ≝ register_05_value m in
1508  let old_register_36_value ≝ register_06_value m in
1509  let old_register_37_value ≝ register_07_value m in
1510  let old_register_A_value ≝ register_A_value m in
1511  let old_register_B_value ≝ register_B_value m in
1512  let old_register_DPL_value ≝ register_DPL_value m in
1513  let old_register_DPH_value ≝ register_DPH_value m in
1514  let old_register_Carry_value ≝ register_Carry_value m in
1515    mk_RegisterMap old_register_00_value
1516                   old_register_01_value
1517                   old_register_02_value
1518                   old_register_03_value
1519                   old_register_04_value
1520                   old_register_05_value
1521                   old_register_06_value
1522                   old_register_07_value
1523                   old_register_10_value
1524                   old_register_11_value
1525                   old_register_12_value
1526                   old_register_13_value
1527                   old_register_14_value
1528                   old_register_15_value
1529                   old_register_16_value
1530                   (Some ? b)
1531                   old_register_20_value
1532                   old_register_21_value
1533                   old_register_22_value
1534                   old_register_23_value
1535                   old_register_24_value
1536                   old_register_25_value
1537                   old_register_26_value
1538                   old_register_27_value
1539                   old_register_30_value
1540                   old_register_31_value
1541                   old_register_32_value
1542                   old_register_33_value
1543                   old_register_34_value
1544                   old_register_35_value
1545                   old_register_36_value
1546                   old_register_37_value
1547                   old_register_A_value
1548                   old_register_B_value
1549                   old_register_DPL_value
1550                   old_register_DPH_value
1551                   old_register_Carry_value.
1552
1553definition update_register_20: Byte → RegisterMap → RegisterMap ≝
1554  λb: Byte.
1555  λm: RegisterMap.
1556  let old_register_00_value ≝ register_00_value m in
1557  let old_register_01_value ≝ register_01_value m in
1558  let old_register_02_value ≝ register_02_value m in
1559  let old_register_03_value ≝ register_03_value m in
1560  let old_register_04_value ≝ register_04_value m in
1561  let old_register_05_value ≝ register_05_value m in
1562  let old_register_06_value ≝ register_06_value m in
1563  let old_register_07_value ≝ register_07_value m in
1564  let old_register_10_value ≝ register_01_value m in
1565  let old_register_11_value ≝ register_01_value m in
1566  let old_register_12_value ≝ register_02_value m in
1567  let old_register_13_value ≝ register_03_value m in
1568  let old_register_14_value ≝ register_04_value m in
1569  let old_register_15_value ≝ register_05_value m in
1570  let old_register_16_value ≝ register_06_value m in
1571  let old_register_17_value ≝ register_07_value m in
1572  let old_register_20_value ≝ register_01_value m in
1573  let old_register_21_value ≝ register_02_value m in
1574  let old_register_22_value ≝ register_02_value m in
1575  let old_register_23_value ≝ register_03_value m in
1576  let old_register_24_value ≝ register_04_value m in
1577  let old_register_25_value ≝ register_05_value m in
1578  let old_register_26_value ≝ register_06_value m in
1579  let old_register_27_value ≝ register_07_value m in
1580  let old_register_30_value ≝ register_01_value m in
1581  let old_register_31_value ≝ register_02_value m in
1582  let old_register_32_value ≝ register_02_value m in
1583  let old_register_33_value ≝ register_03_value m in
1584  let old_register_34_value ≝ register_04_value m in
1585  let old_register_35_value ≝ register_05_value m in
1586  let old_register_36_value ≝ register_06_value m in
1587  let old_register_37_value ≝ register_07_value m in
1588  let old_register_A_value ≝ register_A_value m in
1589  let old_register_B_value ≝ register_B_value m in
1590  let old_register_DPL_value ≝ register_DPL_value m in
1591  let old_register_DPH_value ≝ register_DPH_value m in
1592  let old_register_Carry_value ≝ register_Carry_value m in
1593    mk_RegisterMap old_register_00_value
1594                   old_register_01_value
1595                   old_register_02_value
1596                   old_register_03_value
1597                   old_register_04_value
1598                   old_register_05_value
1599                   old_register_06_value
1600                   old_register_07_value
1601                   old_register_10_value
1602                   old_register_11_value
1603                   old_register_12_value
1604                   old_register_13_value
1605                   old_register_14_value
1606                   old_register_15_value
1607                   old_register_16_value
1608                   old_register_17_value
1609                   (Some ? b)
1610                   old_register_21_value
1611                   old_register_22_value
1612                   old_register_23_value
1613                   old_register_24_value
1614                   old_register_25_value
1615                   old_register_26_value
1616                   old_register_27_value
1617                   old_register_30_value
1618                   old_register_31_value
1619                   old_register_32_value
1620                   old_register_33_value
1621                   old_register_34_value
1622                   old_register_35_value
1623                   old_register_36_value
1624                   old_register_37_value
1625                   old_register_A_value
1626                   old_register_B_value
1627                   old_register_DPL_value
1628                   old_register_DPH_value
1629                   old_register_Carry_value.
1630
1631definition update_register_21: Byte → RegisterMap → RegisterMap ≝
1632  λb: Byte.
1633  λm: RegisterMap.
1634  let old_register_00_value ≝ register_00_value m in
1635  let old_register_01_value ≝ register_01_value m in
1636  let old_register_02_value ≝ register_02_value m in
1637  let old_register_03_value ≝ register_03_value m in
1638  let old_register_04_value ≝ register_04_value m in
1639  let old_register_05_value ≝ register_05_value m in
1640  let old_register_06_value ≝ register_06_value m in
1641  let old_register_07_value ≝ register_07_value m in
1642  let old_register_10_value ≝ register_01_value m in
1643  let old_register_11_value ≝ register_01_value m in
1644  let old_register_12_value ≝ register_02_value m in
1645  let old_register_13_value ≝ register_03_value m in
1646  let old_register_14_value ≝ register_04_value m in
1647  let old_register_15_value ≝ register_05_value m in
1648  let old_register_16_value ≝ register_06_value m in
1649  let old_register_17_value ≝ register_07_value m in
1650  let old_register_20_value ≝ register_01_value m in
1651  let old_register_21_value ≝ register_02_value m in
1652  let old_register_22_value ≝ register_02_value m in
1653  let old_register_23_value ≝ register_03_value m in
1654  let old_register_24_value ≝ register_04_value m in
1655  let old_register_25_value ≝ register_05_value m in
1656  let old_register_26_value ≝ register_06_value m in
1657  let old_register_27_value ≝ register_07_value m in
1658  let old_register_30_value ≝ register_01_value m in
1659  let old_register_31_value ≝ register_02_value m in
1660  let old_register_32_value ≝ register_02_value m in
1661  let old_register_33_value ≝ register_03_value m in
1662  let old_register_34_value ≝ register_04_value m in
1663  let old_register_35_value ≝ register_05_value m in
1664  let old_register_36_value ≝ register_06_value m in
1665  let old_register_37_value ≝ register_07_value m in
1666  let old_register_A_value ≝ register_A_value m in
1667  let old_register_B_value ≝ register_B_value m in
1668  let old_register_DPL_value ≝ register_DPL_value m in
1669  let old_register_DPH_value ≝ register_DPH_value m in
1670  let old_register_Carry_value ≝ register_Carry_value m in
1671    mk_RegisterMap old_register_00_value
1672                   old_register_01_value
1673                   old_register_02_value
1674                   old_register_03_value
1675                   old_register_04_value
1676                   old_register_05_value
1677                   old_register_06_value
1678                   old_register_07_value
1679                   old_register_10_value
1680                   old_register_11_value
1681                   old_register_12_value
1682                   old_register_13_value
1683                   old_register_14_value
1684                   old_register_15_value
1685                   old_register_16_value
1686                   old_register_17_value
1687                   old_register_20_value
1688                   (Some ? b)
1689                   old_register_22_value
1690                   old_register_23_value
1691                   old_register_24_value
1692                   old_register_25_value
1693                   old_register_26_value
1694                   old_register_27_value
1695                   old_register_30_value
1696                   old_register_31_value
1697                   old_register_32_value
1698                   old_register_33_value
1699                   old_register_34_value
1700                   old_register_35_value
1701                   old_register_36_value
1702                   old_register_37_value
1703                   old_register_A_value
1704                   old_register_B_value
1705                   old_register_DPL_value
1706                   old_register_DPH_value
1707                   old_register_Carry_value.
1708
1709definition update_register_22: Byte → RegisterMap → RegisterMap ≝
1710  λb: Byte.
1711  λm: RegisterMap.
1712  let old_register_00_value ≝ register_00_value m in
1713  let old_register_01_value ≝ register_01_value m in
1714  let old_register_02_value ≝ register_02_value m in
1715  let old_register_03_value ≝ register_03_value m in
1716  let old_register_04_value ≝ register_04_value m in
1717  let old_register_05_value ≝ register_05_value m in
1718  let old_register_06_value ≝ register_06_value m in
1719  let old_register_07_value ≝ register_07_value m in
1720  let old_register_10_value ≝ register_01_value m in
1721  let old_register_11_value ≝ register_01_value m in
1722  let old_register_12_value ≝ register_02_value m in
1723  let old_register_13_value ≝ register_03_value m in
1724  let old_register_14_value ≝ register_04_value m in
1725  let old_register_15_value ≝ register_05_value m in
1726  let old_register_16_value ≝ register_06_value m in
1727  let old_register_17_value ≝ register_07_value m in
1728  let old_register_20_value ≝ register_01_value m in
1729  let old_register_21_value ≝ register_02_value m in
1730  let old_register_22_value ≝ register_02_value m in
1731  let old_register_23_value ≝ register_03_value m in
1732  let old_register_24_value ≝ register_04_value m in
1733  let old_register_25_value ≝ register_05_value m in
1734  let old_register_26_value ≝ register_06_value m in
1735  let old_register_27_value ≝ register_07_value m in
1736  let old_register_30_value ≝ register_01_value m in
1737  let old_register_31_value ≝ register_02_value m in
1738  let old_register_32_value ≝ register_02_value m in
1739  let old_register_33_value ≝ register_03_value m in
1740  let old_register_34_value ≝ register_04_value m in
1741  let old_register_35_value ≝ register_05_value m in
1742  let old_register_36_value ≝ register_06_value m in
1743  let old_register_37_value ≝ register_07_value m in
1744  let old_register_A_value ≝ register_A_value m in
1745  let old_register_B_value ≝ register_B_value m in
1746  let old_register_DPL_value ≝ register_DPL_value m in
1747  let old_register_DPH_value ≝ register_DPH_value m in
1748  let old_register_Carry_value ≝ register_Carry_value m in
1749    mk_RegisterMap old_register_00_value
1750                   old_register_01_value
1751                   old_register_02_value
1752                   old_register_03_value
1753                   old_register_04_value
1754                   old_register_05_value
1755                   old_register_06_value
1756                   old_register_07_value
1757                   old_register_10_value
1758                   old_register_11_value
1759                   old_register_12_value
1760                   old_register_13_value
1761                   old_register_14_value
1762                   old_register_15_value
1763                   old_register_16_value
1764                   old_register_17_value
1765                   old_register_20_value
1766                   old_register_21_value
1767                   (Some ? b)
1768                   old_register_23_value
1769                   old_register_24_value
1770                   old_register_25_value
1771                   old_register_26_value
1772                   old_register_27_value
1773                   old_register_30_value
1774                   old_register_31_value
1775                   old_register_32_value
1776                   old_register_33_value
1777                   old_register_34_value
1778                   old_register_35_value
1779                   old_register_36_value
1780                   old_register_37_value
1781                   old_register_A_value
1782                   old_register_B_value
1783                   old_register_DPL_value
1784                   old_register_DPH_value
1785                   old_register_Carry_value.
1786                   
1787definition update_register_23: Byte → RegisterMap → RegisterMap ≝
1788  λb: Byte.
1789  λm: RegisterMap.
1790  let old_register_00_value ≝ register_00_value m in
1791  let old_register_01_value ≝ register_01_value m in
1792  let old_register_02_value ≝ register_02_value m in
1793  let old_register_03_value ≝ register_03_value m in
1794  let old_register_04_value ≝ register_04_value m in
1795  let old_register_05_value ≝ register_05_value m in
1796  let old_register_06_value ≝ register_06_value m in
1797  let old_register_07_value ≝ register_07_value m in
1798  let old_register_10_value ≝ register_01_value m in
1799  let old_register_11_value ≝ register_01_value m in
1800  let old_register_12_value ≝ register_02_value m in
1801  let old_register_13_value ≝ register_03_value m in
1802  let old_register_14_value ≝ register_04_value m in
1803  let old_register_15_value ≝ register_05_value m in
1804  let old_register_16_value ≝ register_06_value m in
1805  let old_register_17_value ≝ register_07_value m in
1806  let old_register_20_value ≝ register_01_value m in
1807  let old_register_21_value ≝ register_02_value m in
1808  let old_register_22_value ≝ register_02_value m in
1809  let old_register_23_value ≝ register_03_value m in
1810  let old_register_24_value ≝ register_04_value m in
1811  let old_register_25_value ≝ register_05_value m in
1812  let old_register_26_value ≝ register_06_value m in
1813  let old_register_27_value ≝ register_07_value m in
1814  let old_register_30_value ≝ register_01_value m in
1815  let old_register_31_value ≝ register_02_value m in
1816  let old_register_32_value ≝ register_02_value m in
1817  let old_register_33_value ≝ register_03_value m in
1818  let old_register_34_value ≝ register_04_value m in
1819  let old_register_35_value ≝ register_05_value m in
1820  let old_register_36_value ≝ register_06_value m in
1821  let old_register_37_value ≝ register_07_value m in
1822  let old_register_A_value ≝ register_A_value m in
1823  let old_register_B_value ≝ register_B_value m in
1824  let old_register_DPL_value ≝ register_DPL_value m in
1825  let old_register_DPH_value ≝ register_DPH_value m in
1826  let old_register_Carry_value ≝ register_Carry_value m in
1827    mk_RegisterMap old_register_00_value
1828                   old_register_01_value
1829                   old_register_02_value
1830                   old_register_03_value
1831                   old_register_04_value
1832                   old_register_05_value
1833                   old_register_06_value
1834                   old_register_07_value
1835                   old_register_10_value
1836                   old_register_11_value
1837                   old_register_12_value
1838                   old_register_13_value
1839                   old_register_14_value
1840                   old_register_15_value
1841                   old_register_16_value
1842                   old_register_17_value
1843                   old_register_20_value
1844                   old_register_21_value
1845                   old_register_22_value
1846                   (Some ? b)
1847                   old_register_24_value
1848                   old_register_25_value
1849                   old_register_26_value
1850                   old_register_27_value
1851                   old_register_30_value
1852                   old_register_31_value
1853                   old_register_32_value
1854                   old_register_33_value
1855                   old_register_34_value
1856                   old_register_35_value
1857                   old_register_36_value
1858                   old_register_37_value
1859                   old_register_A_value
1860                   old_register_B_value
1861                   old_register_DPL_value
1862                   old_register_DPH_value
1863                   old_register_Carry_value.
1864                   
1865definition update_register_24: Byte → RegisterMap → RegisterMap ≝
1866  λb: Byte.
1867  λm: RegisterMap.
1868  let old_register_00_value ≝ register_00_value m in
1869  let old_register_01_value ≝ register_01_value m in
1870  let old_register_02_value ≝ register_02_value m in
1871  let old_register_03_value ≝ register_03_value m in
1872  let old_register_04_value ≝ register_04_value m in
1873  let old_register_05_value ≝ register_05_value m in
1874  let old_register_06_value ≝ register_06_value m in
1875  let old_register_07_value ≝ register_07_value m in
1876  let old_register_10_value ≝ register_01_value m in
1877  let old_register_11_value ≝ register_01_value m in
1878  let old_register_12_value ≝ register_02_value m in
1879  let old_register_13_value ≝ register_03_value m in
1880  let old_register_14_value ≝ register_04_value m in
1881  let old_register_15_value ≝ register_05_value m in
1882  let old_register_16_value ≝ register_06_value m in
1883  let old_register_17_value ≝ register_07_value m in
1884  let old_register_20_value ≝ register_01_value m in
1885  let old_register_21_value ≝ register_02_value m in
1886  let old_register_22_value ≝ register_02_value m in
1887  let old_register_23_value ≝ register_03_value m in
1888  let old_register_24_value ≝ register_04_value m in
1889  let old_register_25_value ≝ register_05_value m in
1890  let old_register_26_value ≝ register_06_value m in
1891  let old_register_27_value ≝ register_07_value m in
1892  let old_register_30_value ≝ register_01_value m in
1893  let old_register_31_value ≝ register_02_value m in
1894  let old_register_32_value ≝ register_02_value m in
1895  let old_register_33_value ≝ register_03_value m in
1896  let old_register_34_value ≝ register_04_value m in
1897  let old_register_35_value ≝ register_05_value m in
1898  let old_register_36_value ≝ register_06_value m in
1899  let old_register_37_value ≝ register_07_value m in
1900  let old_register_A_value ≝ register_A_value m in
1901  let old_register_B_value ≝ register_B_value m in
1902  let old_register_DPL_value ≝ register_DPL_value m in
1903  let old_register_DPH_value ≝ register_DPH_value m in
1904  let old_register_Carry_value ≝ register_Carry_value m in
1905    mk_RegisterMap old_register_00_value
1906                   old_register_01_value
1907                   old_register_02_value
1908                   old_register_03_value
1909                   old_register_04_value
1910                   old_register_05_value
1911                   old_register_06_value
1912                   old_register_07_value
1913                   old_register_10_value
1914                   old_register_11_value
1915                   old_register_12_value
1916                   old_register_13_value
1917                   old_register_14_value
1918                   old_register_15_value
1919                   old_register_16_value
1920                   old_register_17_value
1921                   old_register_20_value
1922                   old_register_21_value
1923                   old_register_22_value
1924                   old_register_23_value
1925                   (Some ? b)
1926                   old_register_25_value
1927                   old_register_26_value
1928                   old_register_27_value
1929                   old_register_30_value
1930                   old_register_31_value
1931                   old_register_32_value
1932                   old_register_33_value
1933                   old_register_34_value
1934                   old_register_35_value
1935                   old_register_36_value
1936                   old_register_37_value
1937                   old_register_A_value
1938                   old_register_B_value
1939                   old_register_DPL_value
1940                   old_register_DPH_value
1941                   old_register_Carry_value.
1942
1943definition update_register_25: Byte → RegisterMap → RegisterMap ≝
1944  λb: Byte.
1945  λm: RegisterMap.
1946  let old_register_00_value ≝ register_00_value m in
1947  let old_register_01_value ≝ register_01_value m in
1948  let old_register_02_value ≝ register_02_value m in
1949  let old_register_03_value ≝ register_03_value m in
1950  let old_register_04_value ≝ register_04_value m in
1951  let old_register_05_value ≝ register_05_value m in
1952  let old_register_06_value ≝ register_06_value m in
1953  let old_register_07_value ≝ register_07_value m in
1954  let old_register_10_value ≝ register_01_value m in
1955  let old_register_11_value ≝ register_01_value m in
1956  let old_register_12_value ≝ register_02_value m in
1957  let old_register_13_value ≝ register_03_value m in
1958  let old_register_14_value ≝ register_04_value m in
1959  let old_register_15_value ≝ register_05_value m in
1960  let old_register_16_value ≝ register_06_value m in
1961  let old_register_17_value ≝ register_07_value m in
1962  let old_register_20_value ≝ register_01_value m in
1963  let old_register_21_value ≝ register_02_value m in
1964  let old_register_22_value ≝ register_02_value m in
1965  let old_register_23_value ≝ register_03_value m in
1966  let old_register_24_value ≝ register_04_value m in
1967  let old_register_25_value ≝ register_05_value m in
1968  let old_register_26_value ≝ register_06_value m in
1969  let old_register_27_value ≝ register_07_value m in
1970  let old_register_30_value ≝ register_01_value m in
1971  let old_register_31_value ≝ register_02_value m in
1972  let old_register_32_value ≝ register_02_value m in
1973  let old_register_33_value ≝ register_03_value m in
1974  let old_register_34_value ≝ register_04_value m in
1975  let old_register_35_value ≝ register_05_value m in
1976  let old_register_36_value ≝ register_06_value m in
1977  let old_register_37_value ≝ register_07_value m in
1978  let old_register_A_value ≝ register_A_value m in
1979  let old_register_B_value ≝ register_B_value m in
1980  let old_register_DPL_value ≝ register_DPL_value m in
1981  let old_register_DPH_value ≝ register_DPH_value m in
1982  let old_register_Carry_value ≝ register_Carry_value m in
1983    mk_RegisterMap old_register_00_value
1984                   old_register_01_value
1985                   old_register_02_value
1986                   old_register_03_value
1987                   old_register_04_value
1988                   old_register_05_value
1989                   old_register_06_value
1990                   old_register_07_value
1991                   old_register_10_value
1992                   old_register_11_value
1993                   old_register_12_value
1994                   old_register_13_value
1995                   old_register_14_value
1996                   old_register_15_value
1997                   old_register_16_value
1998                   old_register_17_value
1999                   old_register_20_value
2000                   old_register_21_value
2001                   old_register_22_value
2002                   old_register_23_value
2003                   old_register_24_value
2004                   (Some ? b)
2005                   old_register_26_value
2006                   old_register_27_value
2007                   old_register_30_value
2008                   old_register_31_value
2009                   old_register_32_value
2010                   old_register_33_value
2011                   old_register_34_value
2012                   old_register_35_value
2013                   old_register_36_value
2014                   old_register_37_value
2015                   old_register_A_value
2016                   old_register_B_value
2017                   old_register_DPL_value
2018                   old_register_DPH_value
2019                   old_register_Carry_value.
2020
2021definition update_register_26: Byte → RegisterMap → RegisterMap ≝
2022  λb: Byte.
2023  λm: RegisterMap.
2024  let old_register_00_value ≝ register_00_value m in
2025  let old_register_01_value ≝ register_01_value m in
2026  let old_register_02_value ≝ register_02_value m in
2027  let old_register_03_value ≝ register_03_value m in
2028  let old_register_04_value ≝ register_04_value m in
2029  let old_register_05_value ≝ register_05_value m in
2030  let old_register_06_value ≝ register_06_value m in
2031  let old_register_07_value ≝ register_07_value m in
2032  let old_register_10_value ≝ register_01_value m in
2033  let old_register_11_value ≝ register_01_value m in
2034  let old_register_12_value ≝ register_02_value m in
2035  let old_register_13_value ≝ register_03_value m in
2036  let old_register_14_value ≝ register_04_value m in
2037  let old_register_15_value ≝ register_05_value m in
2038  let old_register_16_value ≝ register_06_value m in
2039  let old_register_17_value ≝ register_07_value m in
2040  let old_register_20_value ≝ register_01_value m in
2041  let old_register_21_value ≝ register_02_value m in
2042  let old_register_22_value ≝ register_02_value m in
2043  let old_register_23_value ≝ register_03_value m in
2044  let old_register_24_value ≝ register_04_value m in
2045  let old_register_25_value ≝ register_05_value m in
2046  let old_register_26_value ≝ register_06_value m in
2047  let old_register_27_value ≝ register_07_value m in
2048  let old_register_30_value ≝ register_01_value m in
2049  let old_register_31_value ≝ register_02_value m in
2050  let old_register_32_value ≝ register_02_value m in
2051  let old_register_33_value ≝ register_03_value m in
2052  let old_register_34_value ≝ register_04_value m in
2053  let old_register_35_value ≝ register_05_value m in
2054  let old_register_36_value ≝ register_06_value m in
2055  let old_register_37_value ≝ register_07_value m in
2056  let old_register_A_value ≝ register_A_value m in
2057  let old_register_B_value ≝ register_B_value m in
2058  let old_register_DPL_value ≝ register_DPL_value m in
2059  let old_register_DPH_value ≝ register_DPH_value m in
2060  let old_register_Carry_value ≝ register_Carry_value m in
2061    mk_RegisterMap old_register_00_value
2062                   old_register_01_value
2063                   old_register_02_value
2064                   old_register_03_value
2065                   old_register_04_value
2066                   old_register_05_value
2067                   old_register_06_value
2068                   old_register_07_value
2069                   old_register_10_value
2070                   old_register_11_value
2071                   old_register_12_value
2072                   old_register_13_value
2073                   old_register_14_value
2074                   old_register_15_value
2075                   old_register_16_value
2076                   old_register_17_value
2077                   old_register_20_value
2078                   old_register_21_value
2079                   old_register_22_value
2080                   old_register_23_value
2081                   old_register_24_value
2082                   old_register_25_value
2083                   (Some ? b)
2084                   old_register_27_value
2085                   old_register_30_value
2086                   old_register_31_value
2087                   old_register_32_value
2088                   old_register_33_value
2089                   old_register_34_value
2090                   old_register_35_value
2091                   old_register_36_value
2092                   old_register_37_value
2093                   old_register_A_value
2094                   old_register_B_value
2095                   old_register_DPL_value
2096                   old_register_DPH_value
2097                   old_register_Carry_value.
2098
2099definition update_register_27: Byte → RegisterMap → RegisterMap ≝
2100  λb: Byte.
2101  λm: RegisterMap.
2102  let old_register_00_value ≝ register_00_value m in
2103  let old_register_01_value ≝ register_01_value m in
2104  let old_register_02_value ≝ register_02_value m in
2105  let old_register_03_value ≝ register_03_value m in
2106  let old_register_04_value ≝ register_04_value m in
2107  let old_register_05_value ≝ register_05_value m in
2108  let old_register_06_value ≝ register_06_value m in
2109  let old_register_07_value ≝ register_07_value m in
2110  let old_register_10_value ≝ register_01_value m in
2111  let old_register_11_value ≝ register_01_value m in
2112  let old_register_12_value ≝ register_02_value m in
2113  let old_register_13_value ≝ register_03_value m in
2114  let old_register_14_value ≝ register_04_value m in
2115  let old_register_15_value ≝ register_05_value m in
2116  let old_register_16_value ≝ register_06_value m in
2117  let old_register_17_value ≝ register_07_value m in
2118  let old_register_20_value ≝ register_01_value m in
2119  let old_register_21_value ≝ register_02_value m in
2120  let old_register_22_value ≝ register_02_value m in
2121  let old_register_23_value ≝ register_03_value m in
2122  let old_register_24_value ≝ register_04_value m in
2123  let old_register_25_value ≝ register_05_value m in
2124  let old_register_26_value ≝ register_06_value m in
2125  let old_register_27_value ≝ register_07_value m in
2126  let old_register_30_value ≝ register_01_value m in
2127  let old_register_31_value ≝ register_02_value m in
2128  let old_register_32_value ≝ register_02_value m in
2129  let old_register_33_value ≝ register_03_value m in
2130  let old_register_34_value ≝ register_04_value m in
2131  let old_register_35_value ≝ register_05_value m in
2132  let old_register_36_value ≝ register_06_value m in
2133  let old_register_37_value ≝ register_07_value m in
2134  let old_register_A_value ≝ register_A_value m in
2135  let old_register_B_value ≝ register_B_value m in
2136  let old_register_DPL_value ≝ register_DPL_value m in
2137  let old_register_DPH_value ≝ register_DPH_value m in
2138  let old_register_Carry_value ≝ register_Carry_value m in
2139    mk_RegisterMap old_register_00_value
2140                   old_register_01_value
2141                   old_register_02_value
2142                   old_register_03_value
2143                   old_register_04_value
2144                   old_register_05_value
2145                   old_register_06_value
2146                   old_register_07_value
2147                   old_register_10_value
2148                   old_register_11_value
2149                   old_register_12_value
2150                   old_register_13_value
2151                   old_register_14_value
2152                   old_register_15_value
2153                   old_register_16_value
2154                   old_register_17_value
2155                   old_register_20_value
2156                   old_register_21_value
2157                   old_register_22_value
2158                   old_register_23_value
2159                   old_register_24_value
2160                   old_register_25_value
2161                   old_register_26_value
2162                   (Some ? b)
2163                   old_register_30_value
2164                   old_register_31_value
2165                   old_register_32_value
2166                   old_register_33_value
2167                   old_register_34_value
2168                   old_register_35_value
2169                   old_register_36_value
2170                   old_register_37_value
2171                   old_register_A_value
2172                   old_register_B_value
2173                   old_register_DPL_value
2174                   old_register_DPH_value
2175                   old_register_Carry_value.
2176
2177definition update_register_30: Byte → RegisterMap → RegisterMap ≝
2178  λb: Byte.
2179  λm: RegisterMap.
2180  let old_register_00_value ≝ register_00_value m in
2181  let old_register_01_value ≝ register_01_value m in
2182  let old_register_02_value ≝ register_02_value m in
2183  let old_register_03_value ≝ register_03_value m in
2184  let old_register_04_value ≝ register_04_value m in
2185  let old_register_05_value ≝ register_05_value m in
2186  let old_register_06_value ≝ register_06_value m in
2187  let old_register_07_value ≝ register_07_value m in
2188  let old_register_10_value ≝ register_01_value m in
2189  let old_register_11_value ≝ register_01_value m in
2190  let old_register_12_value ≝ register_02_value m in
2191  let old_register_13_value ≝ register_03_value m in
2192  let old_register_14_value ≝ register_04_value m in
2193  let old_register_15_value ≝ register_05_value m in
2194  let old_register_16_value ≝ register_06_value m in
2195  let old_register_17_value ≝ register_07_value m in
2196  let old_register_20_value ≝ register_01_value m in
2197  let old_register_21_value ≝ register_02_value m in
2198  let old_register_22_value ≝ register_02_value m in
2199  let old_register_23_value ≝ register_03_value m in
2200  let old_register_24_value ≝ register_04_value m in
2201  let old_register_25_value ≝ register_05_value m in
2202  let old_register_26_value ≝ register_06_value m in
2203  let old_register_27_value ≝ register_07_value m in
2204  let old_register_30_value ≝ register_01_value m in
2205  let old_register_31_value ≝ register_02_value m in
2206  let old_register_32_value ≝ register_02_value m in
2207  let old_register_33_value ≝ register_03_value m in
2208  let old_register_34_value ≝ register_04_value m in
2209  let old_register_35_value ≝ register_05_value m in
2210  let old_register_36_value ≝ register_06_value m in
2211  let old_register_37_value ≝ register_07_value m in
2212  let old_register_A_value ≝ register_A_value m in
2213  let old_register_B_value ≝ register_B_value m in
2214  let old_register_DPL_value ≝ register_DPL_value m in
2215  let old_register_DPH_value ≝ register_DPH_value m in
2216  let old_register_Carry_value ≝ register_Carry_value m in
2217    mk_RegisterMap old_register_00_value
2218                   old_register_01_value
2219                   old_register_02_value
2220                   old_register_03_value
2221                   old_register_04_value
2222                   old_register_05_value
2223                   old_register_06_value
2224                   old_register_07_value
2225                   old_register_10_value
2226                   old_register_11_value
2227                   old_register_12_value
2228                   old_register_13_value
2229                   old_register_14_value
2230                   old_register_15_value
2231                   old_register_16_value
2232                   old_register_17_value
2233                   old_register_20_value
2234                   old_register_21_value
2235                   old_register_22_value
2236                   old_register_23_value
2237                   old_register_24_value
2238                   old_register_25_value
2239                   old_register_26_value
2240                   old_register_27_value
2241                   (Some ? b)
2242                   old_register_31_value
2243                   old_register_32_value
2244                   old_register_33_value
2245                   old_register_34_value
2246                   old_register_35_value
2247                   old_register_36_value
2248                   old_register_37_value
2249                   old_register_A_value
2250                   old_register_B_value
2251                   old_register_DPL_value
2252                   old_register_DPH_value
2253                   old_register_Carry_value.
2254
2255definition update_register_31: Byte → RegisterMap → RegisterMap ≝
2256  λb: Byte.
2257  λm: RegisterMap.
2258  let old_register_00_value ≝ register_00_value m in
2259  let old_register_01_value ≝ register_01_value m in
2260  let old_register_02_value ≝ register_02_value m in
2261  let old_register_03_value ≝ register_03_value m in
2262  let old_register_04_value ≝ register_04_value m in
2263  let old_register_05_value ≝ register_05_value m in
2264  let old_register_06_value ≝ register_06_value m in
2265  let old_register_07_value ≝ register_07_value m in
2266  let old_register_10_value ≝ register_01_value m in
2267  let old_register_11_value ≝ register_01_value m in
2268  let old_register_12_value ≝ register_02_value m in
2269  let old_register_13_value ≝ register_03_value m in
2270  let old_register_14_value ≝ register_04_value m in
2271  let old_register_15_value ≝ register_05_value m in
2272  let old_register_16_value ≝ register_06_value m in
2273  let old_register_17_value ≝ register_07_value m in
2274  let old_register_20_value ≝ register_01_value m in
2275  let old_register_21_value ≝ register_02_value m in
2276  let old_register_22_value ≝ register_02_value m in
2277  let old_register_23_value ≝ register_03_value m in
2278  let old_register_24_value ≝ register_04_value m in
2279  let old_register_25_value ≝ register_05_value m in
2280  let old_register_26_value ≝ register_06_value m in
2281  let old_register_27_value ≝ register_07_value m in
2282  let old_register_30_value ≝ register_01_value m in
2283  let old_register_31_value ≝ register_02_value m in
2284  let old_register_32_value ≝ register_02_value m in
2285  let old_register_33_value ≝ register_03_value m in
2286  let old_register_34_value ≝ register_04_value m in
2287  let old_register_35_value ≝ register_05_value m in
2288  let old_register_36_value ≝ register_06_value m in
2289  let old_register_37_value ≝ register_07_value m in
2290  let old_register_A_value ≝ register_A_value m in
2291  let old_register_B_value ≝ register_B_value m in
2292  let old_register_DPL_value ≝ register_DPL_value m in
2293  let old_register_DPH_value ≝ register_DPH_value m in
2294  let old_register_Carry_value ≝ register_Carry_value m in
2295    mk_RegisterMap old_register_00_value
2296                   old_register_01_value
2297                   old_register_02_value
2298                   old_register_03_value
2299                   old_register_04_value
2300                   old_register_05_value
2301                   old_register_06_value
2302                   old_register_07_value
2303                   old_register_10_value
2304                   old_register_11_value
2305                   old_register_12_value
2306                   old_register_13_value
2307                   old_register_14_value
2308                   old_register_15_value
2309                   old_register_16_value
2310                   old_register_17_value
2311                   old_register_20_value
2312                   old_register_21_value
2313                   old_register_22_value
2314                   old_register_23_value
2315                   old_register_24_value
2316                   old_register_25_value
2317                   old_register_26_value
2318                   old_register_27_value
2319                   old_register_30_value
2320                   (Some ? b)
2321                   old_register_32_value
2322                   old_register_33_value
2323                   old_register_34_value
2324                   old_register_35_value
2325                   old_register_36_value
2326                   old_register_37_value
2327                   old_register_A_value
2328                   old_register_B_value
2329                   old_register_DPL_value
2330                   old_register_DPH_value
2331                   old_register_Carry_value.
2332
2333definition update_register_32: Byte → RegisterMap → RegisterMap ≝
2334  λb: Byte.
2335  λm: RegisterMap.
2336  let old_register_00_value ≝ register_00_value m in
2337  let old_register_01_value ≝ register_01_value m in
2338  let old_register_02_value ≝ register_02_value m in
2339  let old_register_03_value ≝ register_03_value m in
2340  let old_register_04_value ≝ register_04_value m in
2341  let old_register_05_value ≝ register_05_value m in
2342  let old_register_06_value ≝ register_06_value m in
2343  let old_register_07_value ≝ register_07_value m in
2344  let old_register_10_value ≝ register_01_value m in
2345  let old_register_11_value ≝ register_01_value m in
2346  let old_register_12_value ≝ register_02_value m in
2347  let old_register_13_value ≝ register_03_value m in
2348  let old_register_14_value ≝ register_04_value m in
2349  let old_register_15_value ≝ register_05_value m in
2350  let old_register_16_value ≝ register_06_value m in
2351  let old_register_17_value ≝ register_07_value m in
2352  let old_register_20_value ≝ register_01_value m in
2353  let old_register_21_value ≝ register_02_value m in
2354  let old_register_22_value ≝ register_02_value m in
2355  let old_register_23_value ≝ register_03_value m in
2356  let old_register_24_value ≝ register_04_value m in
2357  let old_register_25_value ≝ register_05_value m in
2358  let old_register_26_value ≝ register_06_value m in
2359  let old_register_27_value ≝ register_07_value m in
2360  let old_register_30_value ≝ register_01_value m in
2361  let old_register_31_value ≝ register_02_value m in
2362  let old_register_32_value ≝ register_02_value m in
2363  let old_register_33_value ≝ register_03_value m in
2364  let old_register_34_value ≝ register_04_value m in
2365  let old_register_35_value ≝ register_05_value m in
2366  let old_register_36_value ≝ register_06_value m in
2367  let old_register_37_value ≝ register_07_value m in
2368  let old_register_A_value ≝ register_A_value m in
2369  let old_register_B_value ≝ register_B_value m in
2370  let old_register_DPL_value ≝ register_DPL_value m in
2371  let old_register_DPH_value ≝ register_DPH_value m in
2372  let old_register_Carry_value ≝ register_Carry_value m in
2373    mk_RegisterMap old_register_00_value
2374                   old_register_01_value
2375                   old_register_02_value
2376                   old_register_03_value
2377                   old_register_04_value
2378                   old_register_05_value
2379                   old_register_06_value
2380                   old_register_07_value
2381                   old_register_10_value
2382                   old_register_11_value
2383                   old_register_12_value
2384                   old_register_13_value
2385                   old_register_14_value
2386                   old_register_15_value
2387                   old_register_16_value
2388                   old_register_17_value
2389                   old_register_20_value
2390                   old_register_21_value
2391                   old_register_22_value
2392                   old_register_23_value
2393                   old_register_24_value
2394                   old_register_25_value
2395                   old_register_26_value
2396                   old_register_27_value
2397                   old_register_30_value
2398                   old_register_31_value
2399                   (Some ? b)
2400                   old_register_33_value
2401                   old_register_34_value
2402                   old_register_35_value
2403                   old_register_36_value
2404                   old_register_37_value
2405                   old_register_A_value
2406                   old_register_B_value
2407                   old_register_DPL_value
2408                   old_register_DPH_value
2409                   old_register_Carry_value.
2410
2411definition update_register_33: Byte → RegisterMap → RegisterMap ≝
2412  λb: Byte.
2413  λm: RegisterMap.
2414  let old_register_00_value ≝ register_00_value m in
2415  let old_register_01_value ≝ register_01_value m in
2416  let old_register_02_value ≝ register_02_value m in
2417  let old_register_03_value ≝ register_03_value m in
2418  let old_register_04_value ≝ register_04_value m in
2419  let old_register_05_value ≝ register_05_value m in
2420  let old_register_06_value ≝ register_06_value m in
2421  let old_register_07_value ≝ register_07_value m in
2422  let old_register_10_value ≝ register_01_value m in
2423  let old_register_11_value ≝ register_01_value m in
2424  let old_register_12_value ≝ register_02_value m in
2425  let old_register_13_value ≝ register_03_value m in
2426  let old_register_14_value ≝ register_04_value m in
2427  let old_register_15_value ≝ register_05_value m in
2428  let old_register_16_value ≝ register_06_value m in
2429  let old_register_17_value ≝ register_07_value m in
2430  let old_register_20_value ≝ register_01_value m in
2431  let old_register_21_value ≝ register_02_value m in
2432  let old_register_22_value ≝ register_02_value m in
2433  let old_register_23_value ≝ register_03_value m in
2434  let old_register_24_value ≝ register_04_value m in
2435  let old_register_25_value ≝ register_05_value m in
2436  let old_register_26_value ≝ register_06_value m in
2437  let old_register_27_value ≝ register_07_value m in
2438  let old_register_30_value ≝ register_01_value m in
2439  let old_register_31_value ≝ register_02_value m in
2440  let old_register_32_value ≝ register_02_value m in
2441  let old_register_33_value ≝ register_03_value m in
2442  let old_register_34_value ≝ register_04_value m in
2443  let old_register_35_value ≝ register_05_value m in
2444  let old_register_36_value ≝ register_06_value m in
2445  let old_register_37_value ≝ register_07_value m in
2446  let old_register_A_value ≝ register_A_value m in
2447  let old_register_B_value ≝ register_B_value m in
2448  let old_register_DPL_value ≝ register_DPL_value m in
2449  let old_register_DPH_value ≝ register_DPH_value m in
2450  let old_register_Carry_value ≝ register_Carry_value m in
2451    mk_RegisterMap old_register_00_value
2452                   old_register_01_value
2453                   old_register_02_value
2454                   old_register_03_value
2455                   old_register_04_value
2456                   old_register_05_value
2457                   old_register_06_value
2458                   old_register_07_value
2459                   old_register_10_value
2460                   old_register_11_value
2461                   old_register_12_value
2462                   old_register_13_value
2463                   old_register_14_value
2464                   old_register_15_value
2465                   old_register_16_value
2466                   old_register_17_value
2467                   old_register_20_value
2468                   old_register_21_value
2469                   old_register_22_value
2470                   old_register_23_value
2471                   old_register_24_value
2472                   old_register_25_value
2473                   old_register_26_value
2474                   old_register_27_value
2475                   old_register_30_value
2476                   old_register_31_value
2477                   old_register_32_value
2478                   (Some ? b)
2479                   old_register_34_value
2480                   old_register_35_value
2481                   old_register_36_value
2482                   old_register_37_value
2483                   old_register_A_value
2484                   old_register_B_value
2485                   old_register_DPL_value
2486                   old_register_DPH_value
2487                   old_register_Carry_value.
2488
2489definition update_register_34: Byte → RegisterMap → RegisterMap ≝
2490  λb: Byte.
2491  λm: RegisterMap.
2492  let old_register_00_value ≝ register_00_value m in
2493  let old_register_01_value ≝ register_01_value m in
2494  let old_register_02_value ≝ register_02_value m in
2495  let old_register_03_value ≝ register_03_value m in
2496  let old_register_04_value ≝ register_04_value m in
2497  let old_register_05_value ≝ register_05_value m in
2498  let old_register_06_value ≝ register_06_value m in
2499  let old_register_07_value ≝ register_07_value m in
2500  let old_register_10_value ≝ register_01_value m in
2501  let old_register_11_value ≝ register_01_value m in
2502  let old_register_12_value ≝ register_02_value m in
2503  let old_register_13_value ≝ register_03_value m in
2504  let old_register_14_value ≝ register_04_value m in
2505  let old_register_15_value ≝ register_05_value m in
2506  let old_register_16_value ≝ register_06_value m in
2507  let old_register_17_value ≝ register_07_value m in
2508  let old_register_20_value ≝ register_01_value m in
2509  let old_register_21_value ≝ register_02_value m in
2510  let old_register_22_value ≝ register_02_value m in
2511  let old_register_23_value ≝ register_03_value m in
2512  let old_register_24_value ≝ register_04_value m in
2513  let old_register_25_value ≝ register_05_value m in
2514  let old_register_26_value ≝ register_06_value m in
2515  let old_register_27_value ≝ register_07_value m in
2516  let old_register_30_value ≝ register_01_value m in
2517  let old_register_31_value ≝ register_02_value m in
2518  let old_register_32_value ≝ register_02_value m in
2519  let old_register_33_value ≝ register_03_value m in
2520  let old_register_34_value ≝ register_04_value m in
2521  let old_register_35_value ≝ register_05_value m in
2522  let old_register_36_value ≝ register_06_value m in
2523  let old_register_37_value ≝ register_07_value m in
2524  let old_register_A_value ≝ register_A_value m in
2525  let old_register_B_value ≝ register_B_value m in
2526  let old_register_DPL_value ≝ register_DPL_value m in
2527  let old_register_DPH_value ≝ register_DPH_value m in
2528  let old_register_Carry_value ≝ register_Carry_value m in
2529    mk_RegisterMap old_register_00_value
2530                   old_register_01_value
2531                   old_register_02_value
2532                   old_register_03_value
2533                   old_register_04_value
2534                   old_register_05_value
2535                   old_register_06_value
2536                   old_register_07_value
2537                   old_register_10_value
2538                   old_register_11_value
2539                   old_register_12_value
2540                   old_register_13_value
2541                   old_register_14_value
2542                   old_register_15_value
2543                   old_register_16_value
2544                   old_register_17_value
2545                   old_register_20_value
2546                   old_register_21_value
2547                   old_register_22_value
2548                   old_register_23_value
2549                   old_register_24_value
2550                   old_register_25_value
2551                   old_register_26_value
2552                   old_register_27_value
2553                   old_register_30_value
2554                   old_register_31_value
2555                   old_register_32_value
2556                   old_register_33_value
2557                   (Some ? b)
2558                   old_register_35_value
2559                   old_register_36_value
2560                   old_register_37_value
2561                   old_register_A_value
2562                   old_register_B_value
2563                   old_register_DPL_value
2564                   old_register_DPH_value
2565                   old_register_Carry_value.
2566
2567definition update_register_35: Byte → RegisterMap → RegisterMap ≝
2568  λb: Byte.
2569  λm: RegisterMap.
2570  let old_register_00_value ≝ register_00_value m in
2571  let old_register_01_value ≝ register_01_value m in
2572  let old_register_02_value ≝ register_02_value m in
2573  let old_register_03_value ≝ register_03_value m in
2574  let old_register_04_value ≝ register_04_value m in
2575  let old_register_05_value ≝ register_05_value m in
2576  let old_register_06_value ≝ register_06_value m in
2577  let old_register_07_value ≝ register_07_value m in
2578  let old_register_10_value ≝ register_01_value m in
2579  let old_register_11_value ≝ register_01_value m in
2580  let old_register_12_value ≝ register_02_value m in
2581  let old_register_13_value ≝ register_03_value m in
2582  let old_register_14_value ≝ register_04_value m in
2583  let old_register_15_value ≝ register_05_value m in
2584  let old_register_16_value ≝ register_06_value m in
2585  let old_register_17_value ≝ register_07_value m in
2586  let old_register_20_value ≝ register_01_value m in
2587  let old_register_21_value ≝ register_02_value m in
2588  let old_register_22_value ≝ register_02_value m in
2589  let old_register_23_value ≝ register_03_value m in
2590  let old_register_24_value ≝ register_04_value m in
2591  let old_register_25_value ≝ register_05_value m in
2592  let old_register_26_value ≝ register_06_value m in
2593  let old_register_27_value ≝ register_07_value m in
2594  let old_register_30_value ≝ register_01_value m in
2595  let old_register_31_value ≝ register_02_value m in
2596  let old_register_32_value ≝ register_02_value m in
2597  let old_register_33_value ≝ register_03_value m in
2598  let old_register_34_value ≝ register_04_value m in
2599  let old_register_35_value ≝ register_05_value m in
2600  let old_register_36_value ≝ register_06_value m in
2601  let old_register_37_value ≝ register_07_value m in
2602  let old_register_A_value ≝ register_A_value m in
2603  let old_register_B_value ≝ register_B_value m in
2604  let old_register_DPL_value ≝ register_DPL_value m in
2605  let old_register_DPH_value ≝ register_DPH_value m in
2606  let old_register_Carry_value ≝ register_Carry_value m in
2607    mk_RegisterMap old_register_00_value
2608                   old_register_01_value
2609                   old_register_02_value
2610                   old_register_03_value
2611                   old_register_04_value
2612                   old_register_05_value
2613                   old_register_06_value
2614                   old_register_07_value
2615                   old_register_10_value
2616                   old_register_11_value
2617                   old_register_12_value
2618                   old_register_13_value
2619                   old_register_14_value
2620                   old_register_15_value
2621                   old_register_16_value
2622                   old_register_17_value
2623                   old_register_20_value
2624                   old_register_21_value
2625                   old_register_22_value
2626                   old_register_23_value
2627                   old_register_24_value
2628                   old_register_25_value
2629                   old_register_26_value
2630                   old_register_27_value
2631                   old_register_30_value
2632                   old_register_31_value
2633                   old_register_32_value
2634                   old_register_33_value
2635                   old_register_34_value
2636                   (Some ? b)
2637                   old_register_36_value
2638                   old_register_37_value
2639                   old_register_A_value
2640                   old_register_B_value
2641                   old_register_DPL_value
2642                   old_register_DPH_value
2643                   old_register_Carry_value.
2644
2645definition update_register_36: Byte → RegisterMap → RegisterMap ≝
2646  λb: Byte.
2647  λm: RegisterMap.
2648  let old_register_00_value ≝ register_00_value m in
2649  let old_register_01_value ≝ register_01_value m in
2650  let old_register_02_value ≝ register_02_value m in
2651  let old_register_03_value ≝ register_03_value m in
2652  let old_register_04_value ≝ register_04_value m in
2653  let old_register_05_value ≝ register_05_value m in
2654  let old_register_06_value ≝ register_06_value m in
2655  let old_register_07_value ≝ register_07_value m in
2656  let old_register_10_value ≝ register_01_value m in
2657  let old_register_11_value ≝ register_01_value m in
2658  let old_register_12_value ≝ register_02_value m in
2659  let old_register_13_value ≝ register_03_value m in
2660  let old_register_14_value ≝ register_04_value m in
2661  let old_register_15_value ≝ register_05_value m in
2662  let old_register_16_value ≝ register_06_value m in
2663  let old_register_17_value ≝ register_07_value m in
2664  let old_register_20_value ≝ register_01_value m in
2665  let old_register_21_value ≝ register_02_value m in
2666  let old_register_22_value ≝ register_02_value m in
2667  let old_register_23_value ≝ register_03_value m in
2668  let old_register_24_value ≝ register_04_value m in
2669  let old_register_25_value ≝ register_05_value m in
2670  let old_register_26_value ≝ register_06_value m in
2671  let old_register_27_value ≝ register_07_value m in
2672  let old_register_30_value ≝ register_01_value m in
2673  let old_register_31_value ≝ register_02_value m in
2674  let old_register_32_value ≝ register_02_value m in
2675  let old_register_33_value ≝ register_03_value m in
2676  let old_register_34_value ≝ register_04_value m in
2677  let old_register_35_value ≝ register_05_value m in
2678  let old_register_36_value ≝ register_06_value m in
2679  let old_register_37_value ≝ register_07_value m in
2680  let old_register_A_value ≝ register_A_value m in
2681  let old_register_B_value ≝ register_B_value m in
2682  let old_register_DPL_value ≝ register_DPL_value m in
2683  let old_register_DPH_value ≝ register_DPH_value m in
2684  let old_register_Carry_value ≝ register_Carry_value m in
2685    mk_RegisterMap old_register_00_value
2686                   old_register_01_value
2687                   old_register_02_value
2688                   old_register_03_value
2689                   old_register_04_value
2690                   old_register_05_value
2691                   old_register_06_value
2692                   old_register_07_value
2693                   old_register_10_value
2694                   old_register_11_value
2695                   old_register_12_value
2696                   old_register_13_value
2697                   old_register_14_value
2698                   old_register_15_value
2699                   old_register_16_value
2700                   old_register_17_value
2701                   old_register_20_value
2702                   old_register_21_value
2703                   old_register_22_value
2704                   old_register_23_value
2705                   old_register_24_value
2706                   old_register_25_value
2707                   old_register_26_value
2708                   old_register_27_value
2709                   old_register_30_value
2710                   old_register_31_value
2711                   old_register_32_value
2712                   old_register_33_value
2713                   old_register_34_value
2714                   old_register_35_value
2715                   (Some ? b)
2716                   old_register_37_value
2717                   old_register_A_value
2718                   old_register_B_value
2719                   old_register_DPL_value
2720                   old_register_DPH_value
2721                   old_register_Carry_value.
2722
2723definition update_register_37: Byte → RegisterMap → RegisterMap ≝
2724  λb: Byte.
2725  λm: RegisterMap.
2726  let old_register_00_value ≝ register_00_value m in
2727  let old_register_01_value ≝ register_01_value m in
2728  let old_register_02_value ≝ register_02_value m in
2729  let old_register_03_value ≝ register_03_value m in
2730  let old_register_04_value ≝ register_04_value m in
2731  let old_register_05_value ≝ register_05_value m in
2732  let old_register_06_value ≝ register_06_value m in
2733  let old_register_07_value ≝ register_07_value m in
2734  let old_register_10_value ≝ register_01_value m in
2735  let old_register_11_value ≝ register_01_value m in
2736  let old_register_12_value ≝ register_02_value m in
2737  let old_register_13_value ≝ register_03_value m in
2738  let old_register_14_value ≝ register_04_value m in
2739  let old_register_15_value ≝ register_05_value m in
2740  let old_register_16_value ≝ register_06_value m in
2741  let old_register_17_value ≝ register_07_value m in
2742  let old_register_20_value ≝ register_01_value m in
2743  let old_register_21_value ≝ register_02_value m in
2744  let old_register_22_value ≝ register_02_value m in
2745  let old_register_23_value ≝ register_03_value m in
2746  let old_register_24_value ≝ register_04_value m in
2747  let old_register_25_value ≝ register_05_value m in
2748  let old_register_26_value ≝ register_06_value m in
2749  let old_register_27_value ≝ register_07_value m in
2750  let old_register_30_value ≝ register_01_value m in
2751  let old_register_31_value ≝ register_02_value m in
2752  let old_register_32_value ≝ register_02_value m in
2753  let old_register_33_value ≝ register_03_value m in
2754  let old_register_34_value ≝ register_04_value m in
2755  let old_register_35_value ≝ register_05_value m in
2756  let old_register_36_value ≝ register_06_value m in
2757  let old_register_37_value ≝ register_07_value m in
2758  let old_register_A_value ≝ register_A_value m in
2759  let old_register_B_value ≝ register_B_value m in
2760  let old_register_DPL_value ≝ register_DPL_value m in
2761  let old_register_DPH_value ≝ register_DPH_value m in
2762  let old_register_Carry_value ≝ register_Carry_value m in
2763    mk_RegisterMap old_register_00_value
2764                   old_register_01_value
2765                   old_register_02_value
2766                   old_register_03_value
2767                   old_register_04_value
2768                   old_register_05_value
2769                   old_register_06_value
2770                   old_register_07_value
2771                   old_register_10_value
2772                   old_register_11_value
2773                   old_register_12_value
2774                   old_register_13_value
2775                   old_register_14_value
2776                   old_register_15_value
2777                   old_register_16_value
2778                   old_register_17_value
2779                   old_register_20_value
2780                   old_register_21_value
2781                   old_register_22_value
2782                   old_register_23_value
2783                   old_register_24_value
2784                   old_register_25_value
2785                   old_register_26_value
2786                   old_register_27_value
2787                   old_register_30_value
2788                   old_register_31_value
2789                   old_register_32_value
2790                   old_register_33_value
2791                   old_register_34_value
2792                   old_register_35_value
2793                   old_register_36_value
2794                   (Some ? b)
2795                   old_register_A_value
2796                   old_register_B_value
2797                   old_register_DPL_value
2798                   old_register_DPH_value
2799                   old_register_Carry_value.
2800
2801definition update_register_A: Byte → RegisterMap → RegisterMap ≝
2802  λb: Byte.
2803  λm: RegisterMap.
2804  let old_register_00_value ≝ register_00_value m in
2805  let old_register_01_value ≝ register_01_value m in
2806  let old_register_02_value ≝ register_02_value m in
2807  let old_register_03_value ≝ register_03_value m in
2808  let old_register_04_value ≝ register_04_value m in
2809  let old_register_05_value ≝ register_05_value m in
2810  let old_register_06_value ≝ register_06_value m in
2811  let old_register_07_value ≝ register_07_value m in
2812  let old_register_10_value ≝ register_01_value m in
2813  let old_register_11_value ≝ register_01_value m in
2814  let old_register_12_value ≝ register_02_value m in
2815  let old_register_13_value ≝ register_03_value m in
2816  let old_register_14_value ≝ register_04_value m in
2817  let old_register_15_value ≝ register_05_value m in
2818  let old_register_16_value ≝ register_06_value m in
2819  let old_register_17_value ≝ register_07_value m in
2820  let old_register_20_value ≝ register_01_value m in
2821  let old_register_21_value ≝ register_02_value m in
2822  let old_register_22_value ≝ register_02_value m in
2823  let old_register_23_value ≝ register_03_value m in
2824  let old_register_24_value ≝ register_04_value m in
2825  let old_register_25_value ≝ register_05_value m in
2826  let old_register_26_value ≝ register_06_value m in
2827  let old_register_27_value ≝ register_07_value m in
2828  let old_register_30_value ≝ register_01_value m in
2829  let old_register_31_value ≝ register_02_value m in
2830  let old_register_32_value ≝ register_02_value m in
2831  let old_register_33_value ≝ register_03_value m in
2832  let old_register_34_value ≝ register_04_value m in
2833  let old_register_35_value ≝ register_05_value m in
2834  let old_register_36_value ≝ register_06_value m in
2835  let old_register_37_value ≝ register_07_value m in
2836  let old_register_A_value ≝ register_A_value m in
2837  let old_register_B_value ≝ register_B_value m in
2838  let old_register_DPL_value ≝ register_DPL_value m in
2839  let old_register_DPH_value ≝ register_DPH_value m in
2840  let old_register_Carry_value ≝ register_Carry_value m in
2841    mk_RegisterMap old_register_00_value
2842                   old_register_01_value
2843                   old_register_02_value
2844                   old_register_03_value
2845                   old_register_04_value
2846                   old_register_05_value
2847                   old_register_06_value
2848                   old_register_07_value
2849                   old_register_10_value
2850                   old_register_11_value
2851                   old_register_12_value
2852                   old_register_13_value
2853                   old_register_14_value
2854                   old_register_15_value
2855                   old_register_16_value
2856                   old_register_17_value
2857                   old_register_20_value
2858                   old_register_21_value
2859                   old_register_22_value
2860                   old_register_23_value
2861                   old_register_24_value
2862                   old_register_25_value
2863                   old_register_26_value
2864                   old_register_27_value
2865                   old_register_30_value
2866                   old_register_31_value
2867                   old_register_32_value
2868                   old_register_33_value
2869                   old_register_34_value
2870                   old_register_35_value
2871                   old_register_36_value
2872                   old_register_37_value
2873                   (Some ? b)
2874                   old_register_B_value
2875                   old_register_DPL_value
2876                   old_register_DPH_value
2877                   old_register_Carry_value.
2878
2879definition update_register_B: Byte → RegisterMap → RegisterMap ≝
2880  λb: Byte.
2881  λm: RegisterMap.
2882  let old_register_00_value ≝ register_00_value m in
2883  let old_register_01_value ≝ register_01_value m in
2884  let old_register_02_value ≝ register_02_value m in
2885  let old_register_03_value ≝ register_03_value m in
2886  let old_register_04_value ≝ register_04_value m in
2887  let old_register_05_value ≝ register_05_value m in
2888  let old_register_06_value ≝ register_06_value m in
2889  let old_register_07_value ≝ register_07_value m in
2890  let old_register_10_value ≝ register_01_value m in
2891  let old_register_11_value ≝ register_01_value m in
2892  let old_register_12_value ≝ register_02_value m in
2893  let old_register_13_value ≝ register_03_value m in
2894  let old_register_14_value ≝ register_04_value m in
2895  let old_register_15_value ≝ register_05_value m in
2896  let old_register_16_value ≝ register_06_value m in
2897  let old_register_17_value ≝ register_07_value m in
2898  let old_register_20_value ≝ register_01_value m in
2899  let old_register_21_value ≝ register_02_value m in
2900  let old_register_22_value ≝ register_02_value m in
2901  let old_register_23_value ≝ register_03_value m in
2902  let old_register_24_value ≝ register_04_value m in
2903  let old_register_25_value ≝ register_05_value m in
2904  let old_register_26_value ≝ register_06_value m in
2905  let old_register_27_value ≝ register_07_value m in
2906  let old_register_30_value ≝ register_01_value m in
2907  let old_register_31_value ≝ register_02_value m in
2908  let old_register_32_value ≝ register_02_value m in
2909  let old_register_33_value ≝ register_03_value m in
2910  let old_register_34_value ≝ register_04_value m in
2911  let old_register_35_value ≝ register_05_value m in
2912  let old_register_36_value ≝ register_06_value m in
2913  let old_register_37_value ≝ register_07_value m in
2914  let old_register_A_value ≝ register_A_value m in
2915  let old_register_B_value ≝ register_B_value m in
2916  let old_register_DPL_value ≝ register_DPL_value m in
2917  let old_register_DPH_value ≝ register_DPH_value m in
2918  let old_register_Carry_value ≝ register_Carry_value m in
2919    mk_RegisterMap old_register_00_value
2920                   old_register_01_value
2921                   old_register_02_value
2922                   old_register_03_value
2923                   old_register_04_value
2924                   old_register_05_value
2925                   old_register_06_value
2926                   old_register_07_value
2927                   old_register_10_value
2928                   old_register_11_value
2929                   old_register_12_value
2930                   old_register_13_value
2931                   old_register_14_value
2932                   old_register_15_value
2933                   old_register_16_value
2934                   old_register_17_value
2935                   old_register_20_value
2936                   old_register_21_value
2937                   old_register_22_value
2938                   old_register_23_value
2939                   old_register_24_value
2940                   old_register_25_value
2941                   old_register_26_value
2942                   old_register_27_value
2943                   old_register_30_value
2944                   old_register_31_value
2945                   old_register_32_value
2946                   old_register_33_value
2947                   old_register_34_value
2948                   old_register_35_value
2949                   old_register_36_value
2950                   old_register_37_value
2951                   old_register_A_value
2952                   (Some ? b)
2953                   old_register_DPL_value
2954                   old_register_DPH_value
2955                   old_register_Carry_value.
2956
2957definition update_register_DPL: Byte → RegisterMap → RegisterMap ≝
2958  λb: Byte.
2959  λm: RegisterMap.
2960  let old_register_00_value ≝ register_00_value m in
2961  let old_register_01_value ≝ register_01_value m in
2962  let old_register_02_value ≝ register_02_value m in
2963  let old_register_03_value ≝ register_03_value m in
2964  let old_register_04_value ≝ register_04_value m in
2965  let old_register_05_value ≝ register_05_value m in
2966  let old_register_06_value ≝ register_06_value m in
2967  let old_register_07_value ≝ register_07_value m in
2968  let old_register_10_value ≝ register_01_value m in
2969  let old_register_11_value ≝ register_01_value m in
2970  let old_register_12_value ≝ register_02_value m in
2971  let old_register_13_value ≝ register_03_value m in
2972  let old_register_14_value ≝ register_04_value m in
2973  let old_register_15_value ≝ register_05_value m in
2974  let old_register_16_value ≝ register_06_value m in
2975  let old_register_17_value ≝ register_07_value m in
2976  let old_register_20_value ≝ register_01_value m in
2977  let old_register_21_value ≝ register_02_value m in
2978  let old_register_22_value ≝ register_02_value m in
2979  let old_register_23_value ≝ register_03_value m in
2980  let old_register_24_value ≝ register_04_value m in
2981  let old_register_25_value ≝ register_05_value m in
2982  let old_register_26_value ≝ register_06_value m in
2983  let old_register_27_value ≝ register_07_value m in
2984  let old_register_30_value ≝ register_01_value m in
2985  let old_register_31_value ≝ register_02_value m in
2986  let old_register_32_value ≝ register_02_value m in
2987  let old_register_33_value ≝ register_03_value m in
2988  let old_register_34_value ≝ register_04_value m in
2989  let old_register_35_value ≝ register_05_value m in
2990  let old_register_36_value ≝ register_06_value m in
2991  let old_register_37_value ≝ register_07_value m in
2992  let old_register_A_value ≝ register_A_value m in
2993  let old_register_B_value ≝ register_B_value m in
2994  let old_register_DPL_value ≝ register_DPL_value m in
2995  let old_register_DPH_value ≝ register_DPH_value m in
2996  let old_register_Carry_value ≝ register_Carry_value m in
2997    mk_RegisterMap old_register_00_value
2998                   old_register_01_value
2999                   old_register_02_value
3000                   old_register_03_value
3001                   old_register_04_value
3002                   old_register_05_value
3003                   old_register_06_value
3004                   old_register_07_value
3005                   old_register_10_value
3006                   old_register_11_value
3007                   old_register_12_value
3008                   old_register_13_value
3009                   old_register_14_value
3010                   old_register_15_value
3011                   old_register_16_value
3012                   old_register_17_value
3013                   old_register_20_value
3014                   old_register_21_value
3015                   old_register_22_value
3016                   old_register_23_value
3017                   old_register_24_value
3018                   old_register_25_value
3019                   old_register_26_value
3020                   old_register_27_value
3021                   old_register_30_value
3022                   old_register_31_value
3023                   old_register_32_value
3024                   old_register_33_value
3025                   old_register_34_value
3026                   old_register_35_value
3027                   old_register_36_value
3028                   old_register_37_value
3029                   old_register_A_value
3030                   old_register_B_value
3031                   (Some ? b)
3032                   old_register_DPH_value
3033                   old_register_Carry_value.
3034
3035definition update_register_DPH: Byte → RegisterMap → RegisterMap ≝
3036  λb: Byte.
3037  λm: RegisterMap.
3038  let old_register_00_value ≝ register_00_value m in
3039  let old_register_01_value ≝ register_01_value m in
3040  let old_register_02_value ≝ register_02_value m in
3041  let old_register_03_value ≝ register_03_value m in
3042  let old_register_04_value ≝ register_04_value m in
3043  let old_register_05_value ≝ register_05_value m in
3044  let old_register_06_value ≝ register_06_value m in
3045  let old_register_07_value ≝ register_07_value m in
3046  let old_register_10_value ≝ register_01_value m in
3047  let old_register_11_value ≝ register_01_value m in
3048  let old_register_12_value ≝ register_02_value m in
3049  let old_register_13_value ≝ register_03_value m in
3050  let old_register_14_value ≝ register_04_value m in
3051  let old_register_15_value ≝ register_05_value m in
3052  let old_register_16_value ≝ register_06_value m in
3053  let old_register_17_value ≝ register_07_value m in
3054  let old_register_20_value ≝ register_01_value m in
3055  let old_register_21_value ≝ register_02_value m in
3056  let old_register_22_value ≝ register_02_value m in
3057  let old_register_23_value ≝ register_03_value m in
3058  let old_register_24_value ≝ register_04_value m in
3059  let old_register_25_value ≝ register_05_value m in
3060  let old_register_26_value ≝ register_06_value m in
3061  let old_register_27_value ≝ register_07_value m in
3062  let old_register_30_value ≝ register_01_value m in
3063  let old_register_31_value ≝ register_02_value m in
3064  let old_register_32_value ≝ register_02_value m in
3065  let old_register_33_value ≝ register_03_value m in
3066  let old_register_34_value ≝ register_04_value m in
3067  let old_register_35_value ≝ register_05_value m in
3068  let old_register_36_value ≝ register_06_value m in
3069  let old_register_37_value ≝ register_07_value m in
3070  let old_register_A_value ≝ register_A_value m in
3071  let old_register_B_value ≝ register_B_value m in
3072  let old_register_DPL_value ≝ register_DPL_value m in
3073  let old_register_DPH_value ≝ register_DPH_value m in
3074  let old_register_Carry_value ≝ register_Carry_value m in
3075    mk_RegisterMap old_register_00_value
3076                   old_register_01_value
3077                   old_register_02_value
3078                   old_register_03_value
3079                   old_register_04_value
3080                   old_register_05_value
3081                   old_register_06_value
3082                   old_register_07_value
3083                   old_register_10_value
3084                   old_register_11_value
3085                   old_register_12_value
3086                   old_register_13_value
3087                   old_register_14_value
3088                   old_register_15_value
3089                   old_register_16_value
3090                   old_register_17_value
3091                   old_register_20_value
3092                   old_register_21_value
3093                   old_register_22_value
3094                   old_register_23_value
3095                   old_register_24_value
3096                   old_register_25_value
3097                   old_register_26_value
3098                   old_register_27_value
3099                   old_register_30_value
3100                   old_register_31_value
3101                   old_register_32_value
3102                   old_register_33_value
3103                   old_register_34_value
3104                   old_register_35_value
3105                   old_register_36_value
3106                   old_register_37_value
3107                   old_register_A_value
3108                   old_register_B_value
3109                   old_register_DPL_value
3110                   (Some ? b)
3111                   old_register_Carry_value.
3112
3113definition update_register_Carry: Byte → RegisterMap → RegisterMap ≝
3114  λb: Byte.
3115  λm: RegisterMap.
3116  let old_register_00_value ≝ register_00_value m in
3117  let old_register_01_value ≝ register_01_value m in
3118  let old_register_02_value ≝ register_02_value m in
3119  let old_register_03_value ≝ register_03_value m in
3120  let old_register_04_value ≝ register_04_value m in
3121  let old_register_05_value ≝ register_05_value m in
3122  let old_register_06_value ≝ register_06_value m in
3123  let old_register_07_value ≝ register_07_value m in
3124  let old_register_10_value ≝ register_01_value m in
3125  let old_register_11_value ≝ register_01_value m in
3126  let old_register_12_value ≝ register_02_value m in
3127  let old_register_13_value ≝ register_03_value m in
3128  let old_register_14_value ≝ register_04_value m in
3129  let old_register_15_value ≝ register_05_value m in
3130  let old_register_16_value ≝ register_06_value m in
3131  let old_register_17_value ≝ register_07_value m in
3132  let old_register_20_value ≝ register_01_value m in
3133  let old_register_21_value ≝ register_02_value m in
3134  let old_register_22_value ≝ register_02_value m in
3135  let old_register_23_value ≝ register_03_value m in
3136  let old_register_24_value ≝ register_04_value m in
3137  let old_register_25_value ≝ register_05_value m in
3138  let old_register_26_value ≝ register_06_value m in
3139  let old_register_27_value ≝ register_07_value m in
3140  let old_register_30_value ≝ register_01_value m in
3141  let old_register_31_value ≝ register_02_value m in
3142  let old_register_32_value ≝ register_02_value m in
3143  let old_register_33_value ≝ register_03_value m in
3144  let old_register_34_value ≝ register_04_value m in
3145  let old_register_35_value ≝ register_05_value m in
3146  let old_register_36_value ≝ register_06_value m in
3147  let old_register_37_value ≝ register_07_value m in
3148  let old_register_A_value ≝ register_A_value m in
3149  let old_register_B_value ≝ register_B_value m in
3150  let old_register_DPL_value ≝ register_DPL_value m in
3151  let old_register_DPH_value ≝ register_DPH_value m in
3152    mk_RegisterMap old_register_00_value
3153                   old_register_01_value
3154                   old_register_02_value
3155                   old_register_03_value
3156                   old_register_04_value
3157                   old_register_05_value
3158                   old_register_06_value
3159                   old_register_07_value
3160                   old_register_10_value
3161                   old_register_11_value
3162                   old_register_12_value
3163                   old_register_13_value
3164                   old_register_14_value
3165                   old_register_15_value
3166                   old_register_16_value
3167                   old_register_17_value
3168                   old_register_20_value
3169                   old_register_21_value
3170                   old_register_22_value
3171                   old_register_23_value
3172                   old_register_24_value
3173                   old_register_25_value
3174                   old_register_26_value
3175                   old_register_27_value
3176                   old_register_30_value
3177                   old_register_31_value
3178                   old_register_32_value
3179                   old_register_33_value
3180                   old_register_34_value
3181                   old_register_35_value
3182                   old_register_36_value
3183                   old_register_37_value
3184                   old_register_A_value
3185                   old_register_B_value
3186                   old_register_DPL_value
3187                   old_register_DPH_value
3188                   (Some ? b).
3189
3190definition update_register_map: Register → Byte → RegisterMap → RegisterMap ≝
3191  λr: Register.
3192  λb: Byte.
3193  λm: RegisterMap.
3194  match r with
3195  [ Register00 ⇒ update_register_00 b m
3196  | Register01 ⇒ update_register_01 b m
3197  | Register02 ⇒ update_register_02 b m
3198  | Register03 ⇒ update_register_03 b m
3199  | Register04 ⇒ update_register_04 b m
3200  | Register05 ⇒ update_register_05 b m
3201  | Register06 ⇒ update_register_06 b m
3202  | Register07 ⇒ update_register_07 b m
3203  | Register10 ⇒ update_register_10 b m
3204  | Register11 ⇒ update_register_11 b m
3205  | Register12 ⇒ update_register_12 b m
3206  | Register13 ⇒ update_register_13 b m
3207  | Register14 ⇒ update_register_14 b m
3208  | Register15 ⇒ update_register_15 b m
3209  | Register16 ⇒ update_register_16 b m
3210  | Register17 ⇒ update_register_17 b m
3211  | Register20 ⇒ update_register_20 b m
3212  | Register21 ⇒ update_register_21 b m
3213  | Register22 ⇒ update_register_22 b m
3214  | Register23 ⇒ update_register_23 b m
3215  | Register24 ⇒ update_register_24 b m
3216  | Register25 ⇒ update_register_25 b m
3217  | Register26 ⇒ update_register_26 b m
3218  | Register27 ⇒ update_register_27 b m
3219  | Register30 ⇒ update_register_30 b m
3220  | Register31 ⇒ update_register_31 b m
3221  | Register32 ⇒ update_register_32 b m
3222  | Register33 ⇒ update_register_33 b m
3223  | Register34 ⇒ update_register_34 b m
3224  | Register35 ⇒ update_register_35 b m
3225  | Register36 ⇒ update_register_36 b m
3226  | Register37 ⇒ update_register_37 b m
3227  | RegisterA ⇒ update_register_A b m
3228  | RegisterB ⇒ update_register_B b m
3229  | RegisterDPL ⇒ update_register_DPL b m
3230  | RegisterDPH ⇒ update_register_DPH b m
3231  | RegisterCarry ⇒ update_register_Carry b m
3232  ].
3233 
3234record Eval: Type[0] ≝
3235{
3236  opaccs: OpAccs → Byte → Byte → Byte × Byte;
3237  op1: Op1 → Byte → Byte;
3238  op2: Bit → Op2 → Byte → Byte → (Byte × Bit)
3239}.
3240
3241axiom opaccs_implementation: OpAccs → Byte → Byte → Byte × Byte.
3242axiom op1_implementation: Op1 → Byte → Byte.
3243axiom op2_implementation: Bit → Op2 → Byte → Byte → (Byte × Bit).
3244
3245definition eval: Eval ≝
3246  mk_Eval opaccs_implementation
3247          op1_implementation
3248          op2_implementation.
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