source: src/ASM/I8051.ma @ 1071

Last change on this file since 1071 was 1071, checked in by mulligan, 9 years ago

changes the specific form that the added proofs take to use None, not Some, hence removing the exitential

File size: 135.6 KB
Line 
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
70definition nat_of_register: Register → nat ≝
71  λr: Register.
72  match r with
73  [ Register00 ⇒ 0
74  | Register01 ⇒ 1
75  | Register02 ⇒ 2
76  | Register03 ⇒ 3
77  | Register04 ⇒ 4
78  | Register05 ⇒ 5
79  | Register06 ⇒ 6
80  | Register07 ⇒ 7
81  | Register10 ⇒ 8
82  | Register11 ⇒ 9
83  | Register12 ⇒ 10
84  | Register13 ⇒ 11
85  | Register14 ⇒ 12
86  | Register15 ⇒ 13
87  | Register16 ⇒ 14
88  | Register17 ⇒ 15
89  | Register20 ⇒ 16
90  | Register21 ⇒ 17
91  | Register22 ⇒ 18
92  | Register23 ⇒ 19
93  | Register24 ⇒ 20
94  | Register25 ⇒ 21
95  | Register26 ⇒ 22
96  | Register27 ⇒ 23
97  | Register30 ⇒ 24
98  | Register31 ⇒ 25
99  | Register32 ⇒ 26
100  | Register33 ⇒ 27
101  | Register34 ⇒ 28
102  | Register35 ⇒ 29
103  | Register36 ⇒ 30
104  | Register37 ⇒ 31
105  | RegisterA ⇒ 32
106  | RegisterB ⇒ 33
107  | RegisterDPL ⇒ 34
108  | RegisterDPH ⇒ 35
109  ].
110 
111definition physical_register_count ≝ 36.
112
113definition word_of_register: Register → Word ≝
114  λregister.
115    bitvector_of_nat ? (nat_of_register register).
116
117definition compare_register: Register → Register → compare ≝
118  λr, s: Register.
119    let r_as_nat ≝ nat_of_register r in
120    let s_as_nat ≝ nat_of_register s in
121      match eqb r_as_nat s_as_nat with
122      [ true ⇒ compare_equal
123      | false ⇒
124        match ltb r_as_nat s_as_nat with
125        [ true ⇒ compare_less
126        | false ⇒ compare_greater
127        ]
128      ].
129
130definition eq_Register: Register → Register → bool ≝
131  λr, s: Register.
132  let r_as_nat ≝ nat_of_register r in
133  let s_as_nat ≝ nat_of_register s in
134    eqb r_as_nat s_as_nat.
135
136axiom print_register: Register → String.
137
138(* dpm: registers for stack manipulation *)
139definition RegisterSST ≝ Register10.
140definition RegisterST0 ≝ Register02.
141definition RegisterST1 ≝ Register03.
142definition RegisterST2 ≝ Register04.
143definition RegisterST3 ≝ Register05.
144definition RegisterSTS ≝ [RegisterST0; RegisterST1; RegisterST2; RegisterST3].
145definition RegisterSPL ≝ Register06.
146definition RegisterSPH ≝ Register07.
147definition RegisterRets ≝ [RegisterDPL; RegisterDPH; Register00; Register01].
148
149definition register_address: Register → [[ acc_a; direct; registr ]] ≝
150  λr: Register.
151    match r with
152    [ Register00 ⇒ REGISTER [[ false; false; false ]]
153    | Register01 ⇒ REGISTER [[ false; false; true ]]
154    | Register02 ⇒ REGISTER [[ false; true; false ]]
155    | Register03 ⇒ REGISTER [[ false; true; true ]]
156    | Register04 ⇒ REGISTER [[ true; false; false ]]
157    | Register05 ⇒ REGISTER [[ true; false; true ]]
158    | Register06 ⇒ REGISTER [[ true; true; false ]]
159    | Register07 ⇒ REGISTER [[ true; true; true ]]
160    | RegisterA ⇒ ACC_A
161    | RegisterB ⇒ DIRECT (bitvector_of_nat 8 240)
162    | RegisterDPL ⇒ DIRECT (bitvector_of_nat 8 82)
163    | RegisterDPH ⇒ DIRECT (bitvector_of_nat 8 83)
164    | _ ⇒ DIRECT (bitvector_of_nat 8 (nat_of_register r))
165    ].
166    [*: normalize
167        @ I
168    ]
169qed.
170   
171definition registers: list Register ≝
172  [ Register00; Register01; Register02; Register03;
173    Register04; Register05; Register06; Register07;
174    RegisterA; RegisterB; RegisterDPL; RegisterDPH;
175    Register10; Register11; Register12; Register13;
176    Register14; Register15; Register16; Register17;
177    Register20; Register21; Register22; Register23;
178    Register24; Register25; Register26; Register27;
179    Register30; Register31; Register32; Register33;
180    Register34; Register35; Register36; Register37;
181    RegisterSST; RegisterST0; RegisterST1;
182    RegisterSPL; RegisterSPH ].
183   
184definition forbidden_registers: list Register ≝
185  [ RegisterSST; RegisterST0; RegisterST1;
186    RegisterSPL; RegisterSPH ].
187   
188definition parameters: list Register ≝
189  [ Register30; Register31; Register32; Register33;
190    Register34; Register35; Register36; Register37 ].
191   
192record RegisterMap: Type[0] ≝
193{
194  register_00_value: option Byte;
195  register_01_value: option Byte;
196  register_02_value: option Byte;
197  register_03_value: option Byte;
198  register_04_value: option Byte;
199  register_05_value: option Byte;
200  register_06_value: option Byte;
201  register_07_value: option Byte;
202  register_10_value: option Byte;
203  register_11_value: option Byte;
204  register_12_value: option Byte;
205  register_13_value: option Byte;
206  register_14_value: option Byte;
207  register_15_value: option Byte;
208  register_16_value: option Byte;
209  register_17_value: option Byte;
210  register_20_value: option Byte;
211  register_21_value: option Byte;
212  register_22_value: option Byte;
213  register_23_value: option Byte;
214  register_24_value: option Byte;
215  register_25_value: option Byte;
216  register_26_value: option Byte;
217  register_27_value: option Byte;
218  register_30_value: option Byte;
219  register_31_value: option Byte;
220  register_32_value: option Byte;
221  register_33_value: option Byte;
222  register_34_value: option Byte;
223  register_35_value: option Byte;
224  register_36_value: option Byte;
225  register_37_value: option Byte;
226  register_A_value: option Byte;
227  register_B_value: option Byte;
228  register_DPL_value: option Byte;
229  register_DPH_value: option Byte
230}.
231
232definition initialize_register_map: RegisterMap ≝
233  mk_RegisterMap (None ?) (None ?) (None ?) (None ?)
234                 (None ?) (None ?) (None ?) (None ?)
235                 (None ?) (None ?) (None ?) (None ?)
236                 (None ?) (None ?) (None ?) (None ?)
237                 (None ?) (None ?) (None ?) (None ?)
238                 (None ?) (None ?) (None ?) (None ?)
239                 (None ?) (None ?) (None ?) (None ?)
240                 (None ?) (None ?) (None ?) (None ?)
241                 (None ?) (None ?) (None ?) (None ?).
242                 
243definition lookup_register_map: Register → RegisterMap → option Byte ≝
244  λr: Register.
245  λm: RegisterMap.
246  match r with
247  [ Register00 ⇒ register_00_value m
248  | Register01 ⇒ register_01_value m
249  | Register02 ⇒ register_02_value m
250  | Register03 ⇒ register_03_value m
251  | Register04 ⇒ register_04_value m
252  | Register05 ⇒ register_05_value m
253  | Register06 ⇒ register_06_value m
254  | Register07 ⇒ register_07_value m
255  | Register10 ⇒ register_10_value m
256  | Register11 ⇒ register_11_value m
257  | Register12 ⇒ register_12_value m
258  | Register13 ⇒ register_13_value m
259  | Register14 ⇒ register_14_value m
260  | Register15 ⇒ register_15_value m
261  | Register16 ⇒ register_16_value m
262  | Register17 ⇒ register_17_value m
263  | Register20 ⇒ register_20_value m
264  | Register21 ⇒ register_21_value m
265  | Register22 ⇒ register_22_value m
266  | Register23 ⇒ register_23_value m
267  | Register24 ⇒ register_24_value m
268  | Register25 ⇒ register_25_value m
269  | Register26 ⇒ register_26_value m
270  | Register27 ⇒ register_27_value m
271  | Register30 ⇒ register_30_value m
272  | Register31 ⇒ register_31_value m
273  | Register32 ⇒ register_32_value m
274  | Register33 ⇒ register_33_value m
275  | Register34 ⇒ register_34_value m
276  | Register35 ⇒ register_35_value m
277  | Register36 ⇒ register_36_value m
278  | Register37 ⇒ register_37_value m
279  | RegisterA ⇒ register_A_value m
280  | RegisterB ⇒ register_B_value m
281  | RegisterDPL ⇒ register_DPL_value m
282  | RegisterDPH ⇒ register_DPH_value m
283  ].
284 
285definition update_register_00: Byte → RegisterMap → RegisterMap ≝
286  λb: Byte.
287  λm: RegisterMap.
288  let old_register_00_value ≝ register_00_value m in
289  let old_register_01_value ≝ register_01_value m in
290  let old_register_02_value ≝ register_02_value m in
291  let old_register_03_value ≝ register_03_value m in
292  let old_register_04_value ≝ register_04_value m in
293  let old_register_05_value ≝ register_05_value m in
294  let old_register_06_value ≝ register_06_value m in
295  let old_register_07_value ≝ register_07_value m in
296  let old_register_10_value ≝ register_01_value m in
297  let old_register_11_value ≝ register_01_value m in
298  let old_register_12_value ≝ register_02_value m in
299  let old_register_13_value ≝ register_03_value m in
300  let old_register_14_value ≝ register_04_value m in
301  let old_register_15_value ≝ register_05_value m in
302  let old_register_16_value ≝ register_06_value m in
303  let old_register_17_value ≝ register_07_value m in
304  let old_register_20_value ≝ register_01_value m in
305  let old_register_21_value ≝ register_02_value m in
306  let old_register_22_value ≝ register_02_value m in
307  let old_register_23_value ≝ register_03_value m in
308  let old_register_24_value ≝ register_04_value m in
309  let old_register_25_value ≝ register_05_value m in
310  let old_register_26_value ≝ register_06_value m in
311  let old_register_27_value ≝ register_07_value m in
312  let old_register_30_value ≝ register_01_value m in
313  let old_register_31_value ≝ register_02_value m in
314  let old_register_32_value ≝ register_02_value m in
315  let old_register_33_value ≝ register_03_value m in
316  let old_register_34_value ≝ register_04_value m in
317  let old_register_35_value ≝ register_05_value m in
318  let old_register_36_value ≝ register_06_value m in
319  let old_register_37_value ≝ register_07_value m in
320  let old_register_A_value ≝ register_A_value m in
321  let old_register_B_value ≝ register_B_value m in
322  let old_register_DPL_value ≝ register_DPL_value m in
323  let old_register_DPH_value ≝ register_DPH_value m in
324    mk_RegisterMap (Some ? b)
325                   old_register_01_value
326                   old_register_02_value
327                   old_register_03_value
328                   old_register_04_value
329                   old_register_05_value
330                   old_register_06_value
331                   old_register_07_value
332                   old_register_10_value
333                   old_register_11_value
334                   old_register_12_value
335                   old_register_13_value
336                   old_register_14_value
337                   old_register_15_value
338                   old_register_16_value
339                   old_register_17_value
340                   old_register_20_value
341                   old_register_21_value
342                   old_register_22_value
343                   old_register_23_value
344                   old_register_24_value
345                   old_register_25_value
346                   old_register_26_value
347                   old_register_27_value
348                   old_register_30_value
349                   old_register_31_value
350                   old_register_32_value
351                   old_register_33_value
352                   old_register_34_value
353                   old_register_35_value
354                   old_register_36_value
355                   old_register_37_value
356                   old_register_A_value
357                   old_register_B_value
358                   old_register_DPL_value
359                   old_register_DPH_value.
360
361definition update_register_01: Byte → RegisterMap → RegisterMap ≝
362  λb: Byte.
363  λm: RegisterMap.
364  let old_register_00_value ≝ register_00_value m in
365  let old_register_01_value ≝ register_01_value m in
366  let old_register_02_value ≝ register_02_value m in
367  let old_register_03_value ≝ register_03_value m in
368  let old_register_04_value ≝ register_04_value m in
369  let old_register_05_value ≝ register_05_value m in
370  let old_register_06_value ≝ register_06_value m in
371  let old_register_07_value ≝ register_07_value m in
372  let old_register_10_value ≝ register_01_value m in
373  let old_register_11_value ≝ register_01_value m in
374  let old_register_12_value ≝ register_02_value m in
375  let old_register_13_value ≝ register_03_value m in
376  let old_register_14_value ≝ register_04_value m in
377  let old_register_15_value ≝ register_05_value m in
378  let old_register_16_value ≝ register_06_value m in
379  let old_register_17_value ≝ register_07_value m in
380  let old_register_20_value ≝ register_01_value m in
381  let old_register_21_value ≝ register_02_value m in
382  let old_register_22_value ≝ register_02_value m in
383  let old_register_23_value ≝ register_03_value m in
384  let old_register_24_value ≝ register_04_value m in
385  let old_register_25_value ≝ register_05_value m in
386  let old_register_26_value ≝ register_06_value m in
387  let old_register_27_value ≝ register_07_value m in
388  let old_register_30_value ≝ register_01_value m in
389  let old_register_31_value ≝ register_02_value m in
390  let old_register_32_value ≝ register_02_value m in
391  let old_register_33_value ≝ register_03_value m in
392  let old_register_34_value ≝ register_04_value m in
393  let old_register_35_value ≝ register_05_value m in
394  let old_register_36_value ≝ register_06_value m in
395  let old_register_37_value ≝ register_07_value m in
396  let old_register_A_value ≝ register_A_value m in
397  let old_register_B_value ≝ register_B_value m in
398  let old_register_DPL_value ≝ register_DPL_value m in
399  let old_register_DPH_value ≝ register_DPH_value m in
400    mk_RegisterMap old_register_00_value
401                   (Some ? b)
402                   old_register_02_value
403                   old_register_03_value
404                   old_register_04_value
405                   old_register_05_value
406                   old_register_06_value
407                   old_register_07_value
408                   old_register_10_value
409                   old_register_11_value
410                   old_register_12_value
411                   old_register_13_value
412                   old_register_14_value
413                   old_register_15_value
414                   old_register_16_value
415                   old_register_17_value
416                   old_register_20_value
417                   old_register_21_value
418                   old_register_22_value
419                   old_register_23_value
420                   old_register_24_value
421                   old_register_25_value
422                   old_register_26_value
423                   old_register_27_value
424                   old_register_30_value
425                   old_register_31_value
426                   old_register_32_value
427                   old_register_33_value
428                   old_register_34_value
429                   old_register_35_value
430                   old_register_36_value
431                   old_register_37_value
432                   old_register_A_value
433                   old_register_B_value
434                   old_register_DPL_value
435                   old_register_DPH_value.
436
437definition update_register_02: Byte → RegisterMap → RegisterMap ≝
438  λb: Byte.
439  λm: RegisterMap.
440  let old_register_00_value ≝ register_00_value m in
441  let old_register_01_value ≝ register_01_value m in
442  let old_register_02_value ≝ register_02_value m in
443  let old_register_03_value ≝ register_03_value m in
444  let old_register_04_value ≝ register_04_value m in
445  let old_register_05_value ≝ register_05_value m in
446  let old_register_06_value ≝ register_06_value m in
447  let old_register_07_value ≝ register_07_value m in
448  let old_register_10_value ≝ register_01_value m in
449  let old_register_11_value ≝ register_01_value m in
450  let old_register_12_value ≝ register_02_value m in
451  let old_register_13_value ≝ register_03_value m in
452  let old_register_14_value ≝ register_04_value m in
453  let old_register_15_value ≝ register_05_value m in
454  let old_register_16_value ≝ register_06_value m in
455  let old_register_17_value ≝ register_07_value m in
456  let old_register_20_value ≝ register_01_value m in
457  let old_register_21_value ≝ register_02_value m in
458  let old_register_22_value ≝ register_02_value m in
459  let old_register_23_value ≝ register_03_value m in
460  let old_register_24_value ≝ register_04_value m in
461  let old_register_25_value ≝ register_05_value m in
462  let old_register_26_value ≝ register_06_value m in
463  let old_register_27_value ≝ register_07_value m in
464  let old_register_30_value ≝ register_01_value m in
465  let old_register_31_value ≝ register_02_value m in
466  let old_register_32_value ≝ register_02_value m in
467  let old_register_33_value ≝ register_03_value m in
468  let old_register_34_value ≝ register_04_value m in
469  let old_register_35_value ≝ register_05_value m in
470  let old_register_36_value ≝ register_06_value m in
471  let old_register_37_value ≝ register_07_value m in
472  let old_register_A_value ≝ register_A_value m in
473  let old_register_B_value ≝ register_B_value m in
474  let old_register_DPL_value ≝ register_DPL_value m in
475  let old_register_DPH_value ≝ register_DPH_value m in
476    mk_RegisterMap old_register_00_value
477                   old_register_01_value
478                   (Some ? b)
479                   old_register_03_value
480                   old_register_04_value
481                   old_register_05_value
482                   old_register_06_value
483                   old_register_07_value
484                   old_register_10_value
485                   old_register_11_value
486                   old_register_12_value
487                   old_register_13_value
488                   old_register_14_value
489                   old_register_15_value
490                   old_register_16_value
491                   old_register_17_value
492                   old_register_20_value
493                   old_register_21_value
494                   old_register_22_value
495                   old_register_23_value
496                   old_register_24_value
497                   old_register_25_value
498                   old_register_26_value
499                   old_register_27_value
500                   old_register_30_value
501                   old_register_31_value
502                   old_register_32_value
503                   old_register_33_value
504                   old_register_34_value
505                   old_register_35_value
506                   old_register_36_value
507                   old_register_37_value
508                   old_register_A_value
509                   old_register_B_value
510                   old_register_DPL_value
511                   old_register_DPH_value.
512
513definition update_register_03: Byte → RegisterMap → RegisterMap ≝
514  λb: Byte.
515  λm: RegisterMap.
516  let old_register_00_value ≝ register_00_value m in
517  let old_register_01_value ≝ register_01_value m in
518  let old_register_02_value ≝ register_02_value m in
519  let old_register_03_value ≝ register_03_value m in
520  let old_register_04_value ≝ register_04_value m in
521  let old_register_05_value ≝ register_05_value m in
522  let old_register_06_value ≝ register_06_value m in
523  let old_register_07_value ≝ register_07_value m in
524  let old_register_10_value ≝ register_01_value m in
525  let old_register_11_value ≝ register_01_value m in
526  let old_register_12_value ≝ register_02_value m in
527  let old_register_13_value ≝ register_03_value m in
528  let old_register_14_value ≝ register_04_value m in
529  let old_register_15_value ≝ register_05_value m in
530  let old_register_16_value ≝ register_06_value m in
531  let old_register_17_value ≝ register_07_value m in
532  let old_register_20_value ≝ register_01_value m in
533  let old_register_21_value ≝ register_02_value m in
534  let old_register_22_value ≝ register_02_value m in
535  let old_register_23_value ≝ register_03_value m in
536  let old_register_24_value ≝ register_04_value m in
537  let old_register_25_value ≝ register_05_value m in
538  let old_register_26_value ≝ register_06_value m in
539  let old_register_27_value ≝ register_07_value m in
540  let old_register_30_value ≝ register_01_value m in
541  let old_register_31_value ≝ register_02_value m in
542  let old_register_32_value ≝ register_02_value m in
543  let old_register_33_value ≝ register_03_value m in
544  let old_register_34_value ≝ register_04_value m in
545  let old_register_35_value ≝ register_05_value m in
546  let old_register_36_value ≝ register_06_value m in
547  let old_register_37_value ≝ register_07_value m in
548  let old_register_A_value ≝ register_A_value m in
549  let old_register_B_value ≝ register_B_value m in
550  let old_register_DPL_value ≝ register_DPL_value m in
551  let old_register_DPH_value ≝ register_DPH_value m in
552    mk_RegisterMap old_register_00_value
553                   old_register_01_value
554                   old_register_02_value
555                   (Some ? b)
556                   old_register_04_value
557                   old_register_05_value
558                   old_register_06_value
559                   old_register_07_value
560                   old_register_10_value
561                   old_register_11_value
562                   old_register_12_value
563                   old_register_13_value
564                   old_register_14_value
565                   old_register_15_value
566                   old_register_16_value
567                   old_register_17_value
568                   old_register_20_value
569                   old_register_21_value
570                   old_register_22_value
571                   old_register_23_value
572                   old_register_24_value
573                   old_register_25_value
574                   old_register_26_value
575                   old_register_27_value
576                   old_register_30_value
577                   old_register_31_value
578                   old_register_32_value
579                   old_register_33_value
580                   old_register_34_value
581                   old_register_35_value
582                   old_register_36_value
583                   old_register_37_value
584                   old_register_A_value
585                   old_register_B_value
586                   old_register_DPL_value
587                   old_register_DPH_value.
588
589definition update_register_04: Byte → RegisterMap → RegisterMap ≝
590  λb: Byte.
591  λm: RegisterMap.
592  let old_register_00_value ≝ register_00_value m in
593  let old_register_01_value ≝ register_01_value m in
594  let old_register_02_value ≝ register_02_value m in
595  let old_register_03_value ≝ register_03_value m in
596  let old_register_04_value ≝ register_04_value m in
597  let old_register_05_value ≝ register_05_value m in
598  let old_register_06_value ≝ register_06_value m in
599  let old_register_07_value ≝ register_07_value m in
600  let old_register_10_value ≝ register_01_value m in
601  let old_register_11_value ≝ register_01_value m in
602  let old_register_12_value ≝ register_02_value m in
603  let old_register_13_value ≝ register_03_value m in
604  let old_register_14_value ≝ register_04_value m in
605  let old_register_15_value ≝ register_05_value m in
606  let old_register_16_value ≝ register_06_value m in
607  let old_register_17_value ≝ register_07_value m in
608  let old_register_20_value ≝ register_01_value m in
609  let old_register_21_value ≝ register_02_value m in
610  let old_register_22_value ≝ register_02_value m in
611  let old_register_23_value ≝ register_03_value m in
612  let old_register_24_value ≝ register_04_value m in
613  let old_register_25_value ≝ register_05_value m in
614  let old_register_26_value ≝ register_06_value m in
615  let old_register_27_value ≝ register_07_value m in
616  let old_register_30_value ≝ register_01_value m in
617  let old_register_31_value ≝ register_02_value m in
618  let old_register_32_value ≝ register_02_value m in
619  let old_register_33_value ≝ register_03_value m in
620  let old_register_34_value ≝ register_04_value m in
621  let old_register_35_value ≝ register_05_value m in
622  let old_register_36_value ≝ register_06_value m in
623  let old_register_37_value ≝ register_07_value m in
624  let old_register_A_value ≝ register_A_value m in
625  let old_register_B_value ≝ register_B_value m in
626  let old_register_DPL_value ≝ register_DPL_value m in
627  let old_register_DPH_value ≝ register_DPH_value m in
628    mk_RegisterMap old_register_00_value
629                   old_register_01_value
630                   old_register_02_value
631                   old_register_03_value
632                   (Some ? b)
633                   old_register_05_value
634                   old_register_06_value
635                   old_register_07_value
636                   old_register_10_value
637                   old_register_11_value
638                   old_register_12_value
639                   old_register_13_value
640                   old_register_14_value
641                   old_register_15_value
642                   old_register_16_value
643                   old_register_17_value
644                   old_register_20_value
645                   old_register_21_value
646                   old_register_22_value
647                   old_register_23_value
648                   old_register_24_value
649                   old_register_25_value
650                   old_register_26_value
651                   old_register_27_value
652                   old_register_30_value
653                   old_register_31_value
654                   old_register_32_value
655                   old_register_33_value
656                   old_register_34_value
657                   old_register_35_value
658                   old_register_36_value
659                   old_register_37_value
660                   old_register_A_value
661                   old_register_B_value
662                   old_register_DPL_value
663                   old_register_DPH_value.
664
665definition update_register_05: Byte → RegisterMap → RegisterMap ≝
666  λb: Byte.
667  λm: RegisterMap.
668  let old_register_00_value ≝ register_00_value m in
669  let old_register_01_value ≝ register_01_value m in
670  let old_register_02_value ≝ register_02_value m in
671  let old_register_03_value ≝ register_03_value m in
672  let old_register_04_value ≝ register_04_value m in
673  let old_register_05_value ≝ register_05_value m in
674  let old_register_06_value ≝ register_06_value m in
675  let old_register_07_value ≝ register_07_value m in
676  let old_register_10_value ≝ register_01_value m in
677  let old_register_11_value ≝ register_01_value m in
678  let old_register_12_value ≝ register_02_value m in
679  let old_register_13_value ≝ register_03_value m in
680  let old_register_14_value ≝ register_04_value m in
681  let old_register_15_value ≝ register_05_value m in
682  let old_register_16_value ≝ register_06_value m in
683  let old_register_17_value ≝ register_07_value m in
684  let old_register_20_value ≝ register_01_value m in
685  let old_register_21_value ≝ register_02_value m in
686  let old_register_22_value ≝ register_02_value m in
687  let old_register_23_value ≝ register_03_value m in
688  let old_register_24_value ≝ register_04_value m in
689  let old_register_25_value ≝ register_05_value m in
690  let old_register_26_value ≝ register_06_value m in
691  let old_register_27_value ≝ register_07_value m in
692  let old_register_30_value ≝ register_01_value m in
693  let old_register_31_value ≝ register_02_value m in
694  let old_register_32_value ≝ register_02_value m in
695  let old_register_33_value ≝ register_03_value m in
696  let old_register_34_value ≝ register_04_value m in
697  let old_register_35_value ≝ register_05_value m in
698  let old_register_36_value ≝ register_06_value m in
699  let old_register_37_value ≝ register_07_value m in
700  let old_register_A_value ≝ register_A_value m in
701  let old_register_B_value ≝ register_B_value m in
702  let old_register_DPL_value ≝ register_DPL_value m in
703  let old_register_DPH_value ≝ register_DPH_value m in
704    mk_RegisterMap old_register_00_value
705                   old_register_01_value
706                   old_register_02_value
707                   old_register_03_value
708                   old_register_04_value
709                   (Some ? b)
710                   old_register_06_value
711                   old_register_07_value
712                   old_register_10_value
713                   old_register_11_value
714                   old_register_12_value
715                   old_register_13_value
716                   old_register_14_value
717                   old_register_15_value
718                   old_register_16_value
719                   old_register_17_value
720                   old_register_20_value
721                   old_register_21_value
722                   old_register_22_value
723                   old_register_23_value
724                   old_register_24_value
725                   old_register_25_value
726                   old_register_26_value
727                   old_register_27_value
728                   old_register_30_value
729                   old_register_31_value
730                   old_register_32_value
731                   old_register_33_value
732                   old_register_34_value
733                   old_register_35_value
734                   old_register_36_value
735                   old_register_37_value
736                   old_register_A_value
737                   old_register_B_value
738                   old_register_DPL_value
739                   old_register_DPH_value.
740
741definition update_register_06: Byte → RegisterMap → RegisterMap ≝
742  λb: Byte.
743  λm: RegisterMap.
744  let old_register_00_value ≝ register_00_value m in
745  let old_register_01_value ≝ register_01_value m in
746  let old_register_02_value ≝ register_02_value m in
747  let old_register_03_value ≝ register_03_value m in
748  let old_register_04_value ≝ register_04_value m in
749  let old_register_05_value ≝ register_05_value m in
750  let old_register_06_value ≝ register_06_value m in
751  let old_register_07_value ≝ register_07_value m in
752  let old_register_10_value ≝ register_01_value m in
753  let old_register_11_value ≝ register_01_value m in
754  let old_register_12_value ≝ register_02_value m in
755  let old_register_13_value ≝ register_03_value m in
756  let old_register_14_value ≝ register_04_value m in
757  let old_register_15_value ≝ register_05_value m in
758  let old_register_16_value ≝ register_06_value m in
759  let old_register_17_value ≝ register_07_value m in
760  let old_register_20_value ≝ register_01_value m in
761  let old_register_21_value ≝ register_02_value m in
762  let old_register_22_value ≝ register_02_value m in
763  let old_register_23_value ≝ register_03_value m in
764  let old_register_24_value ≝ register_04_value m in
765  let old_register_25_value ≝ register_05_value m in
766  let old_register_26_value ≝ register_06_value m in
767  let old_register_27_value ≝ register_07_value m in
768  let old_register_30_value ≝ register_01_value m in
769  let old_register_31_value ≝ register_02_value m in
770  let old_register_32_value ≝ register_02_value m in
771  let old_register_33_value ≝ register_03_value m in
772  let old_register_34_value ≝ register_04_value m in
773  let old_register_35_value ≝ register_05_value m in
774  let old_register_36_value ≝ register_06_value m in
775  let old_register_37_value ≝ register_07_value m in
776  let old_register_A_value ≝ register_A_value m in
777  let old_register_B_value ≝ register_B_value m in
778  let old_register_DPL_value ≝ register_DPL_value m in
779  let old_register_DPH_value ≝ register_DPH_value m in
780    mk_RegisterMap old_register_00_value
781                   old_register_01_value
782                   old_register_02_value
783                   old_register_03_value
784                   old_register_04_value
785                   old_register_05_value
786                   (Some ? b)
787                   old_register_07_value
788                   old_register_10_value
789                   old_register_11_value
790                   old_register_12_value
791                   old_register_13_value
792                   old_register_14_value
793                   old_register_15_value
794                   old_register_16_value
795                   old_register_17_value
796                   old_register_20_value
797                   old_register_21_value
798                   old_register_22_value
799                   old_register_23_value
800                   old_register_24_value
801                   old_register_25_value
802                   old_register_26_value
803                   old_register_27_value
804                   old_register_30_value
805                   old_register_31_value
806                   old_register_32_value
807                   old_register_33_value
808                   old_register_34_value
809                   old_register_35_value
810                   old_register_36_value
811                   old_register_37_value
812                   old_register_A_value
813                   old_register_B_value
814                   old_register_DPL_value
815                   old_register_DPH_value.
816
817definition update_register_07: Byte → RegisterMap → RegisterMap ≝
818  λb: Byte.
819  λm: RegisterMap.
820  let old_register_00_value ≝ register_00_value m in
821  let old_register_01_value ≝ register_01_value m in
822  let old_register_02_value ≝ register_02_value m in
823  let old_register_03_value ≝ register_03_value m in
824  let old_register_04_value ≝ register_04_value m in
825  let old_register_05_value ≝ register_05_value m in
826  let old_register_06_value ≝ register_06_value m in
827  let old_register_07_value ≝ register_07_value m in
828  let old_register_10_value ≝ register_01_value m in
829  let old_register_11_value ≝ register_01_value m in
830  let old_register_12_value ≝ register_02_value m in
831  let old_register_13_value ≝ register_03_value m in
832  let old_register_14_value ≝ register_04_value m in
833  let old_register_15_value ≝ register_05_value m in
834  let old_register_16_value ≝ register_06_value m in
835  let old_register_17_value ≝ register_07_value m in
836  let old_register_20_value ≝ register_01_value m in
837  let old_register_21_value ≝ register_02_value m in
838  let old_register_22_value ≝ register_02_value m in
839  let old_register_23_value ≝ register_03_value m in
840  let old_register_24_value ≝ register_04_value m in
841  let old_register_25_value ≝ register_05_value m in
842  let old_register_26_value ≝ register_06_value m in
843  let old_register_27_value ≝ register_07_value m in
844  let old_register_30_value ≝ register_01_value m in
845  let old_register_31_value ≝ register_02_value m in
846  let old_register_32_value ≝ register_02_value m in
847  let old_register_33_value ≝ register_03_value m in
848  let old_register_34_value ≝ register_04_value m in
849  let old_register_35_value ≝ register_05_value m in
850  let old_register_36_value ≝ register_06_value m in
851  let old_register_37_value ≝ register_07_value m in
852  let old_register_A_value ≝ register_A_value m in
853  let old_register_B_value ≝ register_B_value m in
854  let old_register_DPL_value ≝ register_DPL_value m in
855  let old_register_DPH_value ≝ register_DPH_value m in
856    mk_RegisterMap old_register_00_value
857                   old_register_01_value
858                   old_register_02_value
859                   old_register_03_value
860                   old_register_04_value
861                   old_register_05_value
862                   old_register_06_value
863                   (Some ? b)
864                   old_register_10_value
865                   old_register_11_value
866                   old_register_12_value
867                   old_register_13_value
868                   old_register_14_value
869                   old_register_15_value
870                   old_register_16_value
871                   old_register_17_value
872                   old_register_20_value
873                   old_register_21_value
874                   old_register_22_value
875                   old_register_23_value
876                   old_register_24_value
877                   old_register_25_value
878                   old_register_26_value
879                   old_register_27_value
880                   old_register_30_value
881                   old_register_31_value
882                   old_register_32_value
883                   old_register_33_value
884                   old_register_34_value
885                   old_register_35_value
886                   old_register_36_value
887                   old_register_37_value
888                   old_register_A_value
889                   old_register_B_value
890                   old_register_DPL_value
891                   old_register_DPH_value.
892
893definition update_register_10: Byte → RegisterMap → RegisterMap ≝
894  λb: Byte.
895  λm: RegisterMap.
896  let old_register_00_value ≝ register_00_value m in
897  let old_register_01_value ≝ register_01_value m in
898  let old_register_02_value ≝ register_02_value m in
899  let old_register_03_value ≝ register_03_value m in
900  let old_register_04_value ≝ register_04_value m in
901  let old_register_05_value ≝ register_05_value m in
902  let old_register_06_value ≝ register_06_value m in
903  let old_register_07_value ≝ register_07_value m in
904  let old_register_10_value ≝ register_01_value m in
905  let old_register_11_value ≝ register_01_value m in
906  let old_register_12_value ≝ register_02_value m in
907  let old_register_13_value ≝ register_03_value m in
908  let old_register_14_value ≝ register_04_value m in
909  let old_register_15_value ≝ register_05_value m in
910  let old_register_16_value ≝ register_06_value m in
911  let old_register_17_value ≝ register_07_value m in
912  let old_register_20_value ≝ register_01_value m in
913  let old_register_21_value ≝ register_02_value m in
914  let old_register_22_value ≝ register_02_value m in
915  let old_register_23_value ≝ register_03_value m in
916  let old_register_24_value ≝ register_04_value m in
917  let old_register_25_value ≝ register_05_value m in
918  let old_register_26_value ≝ register_06_value m in
919  let old_register_27_value ≝ register_07_value m in
920  let old_register_30_value ≝ register_01_value m in
921  let old_register_31_value ≝ register_02_value m in
922  let old_register_32_value ≝ register_02_value m in
923  let old_register_33_value ≝ register_03_value m in
924  let old_register_34_value ≝ register_04_value m in
925  let old_register_35_value ≝ register_05_value m in
926  let old_register_36_value ≝ register_06_value m in
927  let old_register_37_value ≝ register_07_value m in
928  let old_register_A_value ≝ register_A_value m in
929  let old_register_B_value ≝ register_B_value m in
930  let old_register_DPL_value ≝ register_DPL_value m in
931  let old_register_DPH_value ≝ register_DPH_value m in
932    mk_RegisterMap old_register_00_value
933                   old_register_01_value
934                   old_register_02_value
935                   old_register_03_value
936                   old_register_04_value
937                   old_register_05_value
938                   old_register_06_value
939                   old_register_07_value
940                   (Some ? b)
941                   old_register_11_value
942                   old_register_12_value
943                   old_register_13_value
944                   old_register_14_value
945                   old_register_15_value
946                   old_register_16_value
947                   old_register_17_value
948                   old_register_20_value
949                   old_register_21_value
950                   old_register_22_value
951                   old_register_23_value
952                   old_register_24_value
953                   old_register_25_value
954                   old_register_26_value
955                   old_register_27_value
956                   old_register_30_value
957                   old_register_31_value
958                   old_register_32_value
959                   old_register_33_value
960                   old_register_34_value
961                   old_register_35_value
962                   old_register_36_value
963                   old_register_37_value
964                   old_register_A_value
965                   old_register_B_value
966                   old_register_DPL_value
967                   old_register_DPH_value.
968
969definition update_register_11: Byte → RegisterMap → RegisterMap ≝
970  λb: Byte.
971  λm: RegisterMap.
972  let old_register_00_value ≝ register_00_value m in
973  let old_register_01_value ≝ register_01_value m in
974  let old_register_02_value ≝ register_02_value m in
975  let old_register_03_value ≝ register_03_value m in
976  let old_register_04_value ≝ register_04_value m in
977  let old_register_05_value ≝ register_05_value m in
978  let old_register_06_value ≝ register_06_value m in
979  let old_register_07_value ≝ register_07_value m in
980  let old_register_10_value ≝ register_01_value m in
981  let old_register_11_value ≝ register_01_value m in
982  let old_register_12_value ≝ register_02_value m in
983  let old_register_13_value ≝ register_03_value m in
984  let old_register_14_value ≝ register_04_value m in
985  let old_register_15_value ≝ register_05_value m in
986  let old_register_16_value ≝ register_06_value m in
987  let old_register_17_value ≝ register_07_value m in
988  let old_register_20_value ≝ register_01_value m in
989  let old_register_21_value ≝ register_02_value m in
990  let old_register_22_value ≝ register_02_value m in
991  let old_register_23_value ≝ register_03_value m in
992  let old_register_24_value ≝ register_04_value m in
993  let old_register_25_value ≝ register_05_value m in
994  let old_register_26_value ≝ register_06_value m in
995  let old_register_27_value ≝ register_07_value m in
996  let old_register_30_value ≝ register_01_value m in
997  let old_register_31_value ≝ register_02_value m in
998  let old_register_32_value ≝ register_02_value m in
999  let old_register_33_value ≝ register_03_value m in
1000  let old_register_34_value ≝ register_04_value m in
1001  let old_register_35_value ≝ register_05_value m in
1002  let old_register_36_value ≝ register_06_value m in
1003  let old_register_37_value ≝ register_07_value m in
1004  let old_register_A_value ≝ register_A_value m in
1005  let old_register_B_value ≝ register_B_value m in
1006  let old_register_DPL_value ≝ register_DPL_value m in
1007  let old_register_DPH_value ≝ register_DPH_value m in
1008    mk_RegisterMap old_register_00_value
1009                   old_register_01_value
1010                   old_register_02_value
1011                   old_register_03_value
1012                   old_register_04_value
1013                   old_register_05_value
1014                   old_register_06_value
1015                   old_register_07_value
1016                   old_register_10_value
1017                   (Some ? b)
1018                   old_register_12_value
1019                   old_register_13_value
1020                   old_register_14_value
1021                   old_register_15_value
1022                   old_register_16_value
1023                   old_register_17_value
1024                   old_register_20_value
1025                   old_register_21_value
1026                   old_register_22_value
1027                   old_register_23_value
1028                   old_register_24_value
1029                   old_register_25_value
1030                   old_register_26_value
1031                   old_register_27_value
1032                   old_register_30_value
1033                   old_register_31_value
1034                   old_register_32_value
1035                   old_register_33_value
1036                   old_register_34_value
1037                   old_register_35_value
1038                   old_register_36_value
1039                   old_register_37_value
1040                   old_register_A_value
1041                   old_register_B_value
1042                   old_register_DPL_value
1043                   old_register_DPH_value.
1044
1045definition update_register_12: Byte → RegisterMap → RegisterMap ≝
1046  λb: Byte.
1047  λm: RegisterMap.
1048  let old_register_00_value ≝ register_00_value m in
1049  let old_register_01_value ≝ register_01_value m in
1050  let old_register_02_value ≝ register_02_value m in
1051  let old_register_03_value ≝ register_03_value m in
1052  let old_register_04_value ≝ register_04_value m in
1053  let old_register_05_value ≝ register_05_value m in
1054  let old_register_06_value ≝ register_06_value m in
1055  let old_register_07_value ≝ register_07_value m in
1056  let old_register_10_value ≝ register_01_value m in
1057  let old_register_11_value ≝ register_01_value m in
1058  let old_register_12_value ≝ register_02_value m in
1059  let old_register_13_value ≝ register_03_value m in
1060  let old_register_14_value ≝ register_04_value m in
1061  let old_register_15_value ≝ register_05_value m in
1062  let old_register_16_value ≝ register_06_value m in
1063  let old_register_17_value ≝ register_07_value m in
1064  let old_register_20_value ≝ register_01_value m in
1065  let old_register_21_value ≝ register_02_value m in
1066  let old_register_22_value ≝ register_02_value m in
1067  let old_register_23_value ≝ register_03_value m in
1068  let old_register_24_value ≝ register_04_value m in
1069  let old_register_25_value ≝ register_05_value m in
1070  let old_register_26_value ≝ register_06_value m in
1071  let old_register_27_value ≝ register_07_value m in
1072  let old_register_30_value ≝ register_01_value m in
1073  let old_register_31_value ≝ register_02_value m in
1074  let old_register_32_value ≝ register_02_value m in
1075  let old_register_33_value ≝ register_03_value m in
1076  let old_register_34_value ≝ register_04_value m in
1077  let old_register_35_value ≝ register_05_value m in
1078  let old_register_36_value ≝ register_06_value m in
1079  let old_register_37_value ≝ register_07_value m in
1080  let old_register_A_value ≝ register_A_value m in
1081  let old_register_B_value ≝ register_B_value m in
1082  let old_register_DPL_value ≝ register_DPL_value m in
1083  let old_register_DPH_value ≝ register_DPH_value m in
1084    mk_RegisterMap old_register_00_value
1085                   old_register_01_value
1086                   old_register_02_value
1087                   old_register_03_value
1088                   old_register_04_value
1089                   old_register_05_value
1090                   old_register_06_value
1091                   old_register_07_value
1092                   old_register_10_value
1093                   old_register_11_value
1094                   (Some ? b)
1095                   old_register_13_value
1096                   old_register_14_value
1097                   old_register_15_value
1098                   old_register_16_value
1099                   old_register_17_value
1100                   old_register_20_value
1101                   old_register_21_value
1102                   old_register_22_value
1103                   old_register_23_value
1104                   old_register_24_value
1105                   old_register_25_value
1106                   old_register_26_value
1107                   old_register_27_value
1108                   old_register_30_value
1109                   old_register_31_value
1110                   old_register_32_value
1111                   old_register_33_value
1112                   old_register_34_value
1113                   old_register_35_value
1114                   old_register_36_value
1115                   old_register_37_value
1116                   old_register_A_value
1117                   old_register_B_value
1118                   old_register_DPL_value
1119                   old_register_DPH_value.
1120
1121definition update_register_13: Byte → RegisterMap → RegisterMap ≝
1122  λb: Byte.
1123  λm: RegisterMap.
1124  let old_register_00_value ≝ register_00_value m in
1125  let old_register_01_value ≝ register_01_value m in
1126  let old_register_02_value ≝ register_02_value m in
1127  let old_register_03_value ≝ register_03_value m in
1128  let old_register_04_value ≝ register_04_value m in
1129  let old_register_05_value ≝ register_05_value m in
1130  let old_register_06_value ≝ register_06_value m in
1131  let old_register_07_value ≝ register_07_value m in
1132  let old_register_10_value ≝ register_01_value m in
1133  let old_register_11_value ≝ register_01_value m in
1134  let old_register_12_value ≝ register_02_value m in
1135  let old_register_13_value ≝ register_03_value m in
1136  let old_register_14_value ≝ register_04_value m in
1137  let old_register_15_value ≝ register_05_value m in
1138  let old_register_16_value ≝ register_06_value m in
1139  let old_register_17_value ≝ register_07_value m in
1140  let old_register_20_value ≝ register_01_value m in
1141  let old_register_21_value ≝ register_02_value m in
1142  let old_register_22_value ≝ register_02_value m in
1143  let old_register_23_value ≝ register_03_value m in
1144  let old_register_24_value ≝ register_04_value m in
1145  let old_register_25_value ≝ register_05_value m in
1146  let old_register_26_value ≝ register_06_value m in
1147  let old_register_27_value ≝ register_07_value m in
1148  let old_register_30_value ≝ register_01_value m in
1149  let old_register_31_value ≝ register_02_value m in
1150  let old_register_32_value ≝ register_02_value m in
1151  let old_register_33_value ≝ register_03_value m in
1152  let old_register_34_value ≝ register_04_value m in
1153  let old_register_35_value ≝ register_05_value m in
1154  let old_register_36_value ≝ register_06_value m in
1155  let old_register_37_value ≝ register_07_value m in
1156  let old_register_A_value ≝ register_A_value m in
1157  let old_register_B_value ≝ register_B_value m in
1158  let old_register_DPL_value ≝ register_DPL_value m in
1159  let old_register_DPH_value ≝ register_DPH_value m in
1160    mk_RegisterMap old_register_00_value
1161                   old_register_01_value
1162                   old_register_02_value
1163                   old_register_03_value
1164                   old_register_04_value
1165                   old_register_05_value
1166                   old_register_06_value
1167                   old_register_07_value
1168                   old_register_10_value
1169                   old_register_11_value
1170                   old_register_12_value
1171                   (Some ? b)
1172                   old_register_14_value
1173                   old_register_15_value
1174                   old_register_16_value
1175                   old_register_17_value
1176                   old_register_20_value
1177                   old_register_21_value
1178                   old_register_22_value
1179                   old_register_23_value
1180                   old_register_24_value
1181                   old_register_25_value
1182                   old_register_26_value
1183                   old_register_27_value
1184                   old_register_30_value
1185                   old_register_31_value
1186                   old_register_32_value
1187                   old_register_33_value
1188                   old_register_34_value
1189                   old_register_35_value
1190                   old_register_36_value
1191                   old_register_37_value
1192                   old_register_A_value
1193                   old_register_B_value
1194                   old_register_DPL_value
1195                   old_register_DPH_value.
1196
1197definition update_register_14: Byte → RegisterMap → RegisterMap ≝
1198  λb: Byte.
1199  λm: RegisterMap.
1200  let old_register_00_value ≝ register_00_value m in
1201  let old_register_01_value ≝ register_01_value m in
1202  let old_register_02_value ≝ register_02_value m in
1203  let old_register_03_value ≝ register_03_value m in
1204  let old_register_04_value ≝ register_04_value m in
1205  let old_register_05_value ≝ register_05_value m in
1206  let old_register_06_value ≝ register_06_value m in
1207  let old_register_07_value ≝ register_07_value m in
1208  let old_register_10_value ≝ register_01_value m in
1209  let old_register_11_value ≝ register_01_value m in
1210  let old_register_12_value ≝ register_02_value m in
1211  let old_register_13_value ≝ register_03_value m in
1212  let old_register_14_value ≝ register_04_value m in
1213  let old_register_15_value ≝ register_05_value m in
1214  let old_register_16_value ≝ register_06_value m in
1215  let old_register_17_value ≝ register_07_value m in
1216  let old_register_20_value ≝ register_01_value m in
1217  let old_register_21_value ≝ register_02_value m in
1218  let old_register_22_value ≝ register_02_value m in
1219  let old_register_23_value ≝ register_03_value m in
1220  let old_register_24_value ≝ register_04_value m in
1221  let old_register_25_value ≝ register_05_value m in
1222  let old_register_26_value ≝ register_06_value m in
1223  let old_register_27_value ≝ register_07_value m in
1224  let old_register_30_value ≝ register_01_value m in
1225  let old_register_31_value ≝ register_02_value m in
1226  let old_register_32_value ≝ register_02_value m in
1227  let old_register_33_value ≝ register_03_value m in
1228  let old_register_34_value ≝ register_04_value m in
1229  let old_register_35_value ≝ register_05_value m in
1230  let old_register_36_value ≝ register_06_value m in
1231  let old_register_37_value ≝ register_07_value m in
1232  let old_register_A_value ≝ register_A_value m in
1233  let old_register_B_value ≝ register_B_value m in
1234  let old_register_DPL_value ≝ register_DPL_value m in
1235  let old_register_DPH_value ≝ register_DPH_value m in
1236    mk_RegisterMap old_register_00_value
1237                   old_register_01_value
1238                   old_register_02_value
1239                   old_register_03_value
1240                   old_register_04_value
1241                   old_register_05_value
1242                   old_register_06_value
1243                   old_register_07_value
1244                   old_register_10_value
1245                   old_register_11_value
1246                   old_register_12_value
1247                   old_register_13_value
1248                   (Some ? b)
1249                   old_register_15_value
1250                   old_register_16_value
1251                   old_register_17_value
1252                   old_register_20_value
1253                   old_register_21_value
1254                   old_register_22_value
1255                   old_register_23_value
1256                   old_register_24_value
1257                   old_register_25_value
1258                   old_register_26_value
1259                   old_register_27_value
1260                   old_register_30_value
1261                   old_register_31_value
1262                   old_register_32_value
1263                   old_register_33_value
1264                   old_register_34_value
1265                   old_register_35_value
1266                   old_register_36_value
1267                   old_register_37_value
1268                   old_register_A_value
1269                   old_register_B_value
1270                   old_register_DPL_value
1271                   old_register_DPH_value.
1272
1273definition update_register_15: Byte → RegisterMap → RegisterMap ≝
1274  λb: Byte.
1275  λm: RegisterMap.
1276  let old_register_00_value ≝ register_00_value m in
1277  let old_register_01_value ≝ register_01_value m in
1278  let old_register_02_value ≝ register_02_value m in
1279  let old_register_03_value ≝ register_03_value m in
1280  let old_register_04_value ≝ register_04_value m in
1281  let old_register_05_value ≝ register_05_value m in
1282  let old_register_06_value ≝ register_06_value m in
1283  let old_register_07_value ≝ register_07_value m in
1284  let old_register_10_value ≝ register_01_value m in
1285  let old_register_11_value ≝ register_01_value m in
1286  let old_register_12_value ≝ register_02_value m in
1287  let old_register_13_value ≝ register_03_value m in
1288  let old_register_14_value ≝ register_04_value m in
1289  let old_register_15_value ≝ register_05_value m in
1290  let old_register_16_value ≝ register_06_value m in
1291  let old_register_17_value ≝ register_07_value m in
1292  let old_register_20_value ≝ register_01_value m in
1293  let old_register_21_value ≝ register_02_value m in
1294  let old_register_22_value ≝ register_02_value m in
1295  let old_register_23_value ≝ register_03_value m in
1296  let old_register_24_value ≝ register_04_value m in
1297  let old_register_25_value ≝ register_05_value m in
1298  let old_register_26_value ≝ register_06_value m in
1299  let old_register_27_value ≝ register_07_value m in
1300  let old_register_30_value ≝ register_01_value m in
1301  let old_register_31_value ≝ register_02_value m in
1302  let old_register_32_value ≝ register_02_value m in
1303  let old_register_33_value ≝ register_03_value m in
1304  let old_register_34_value ≝ register_04_value m in
1305  let old_register_35_value ≝ register_05_value m in
1306  let old_register_36_value ≝ register_06_value m in
1307  let old_register_37_value ≝ register_07_value m in
1308  let old_register_A_value ≝ register_A_value m in
1309  let old_register_B_value ≝ register_B_value m in
1310  let old_register_DPL_value ≝ register_DPL_value m in
1311  let old_register_DPH_value ≝ register_DPH_value m in
1312    mk_RegisterMap old_register_00_value
1313                   old_register_01_value
1314                   old_register_02_value
1315                   old_register_03_value
1316                   old_register_04_value
1317                   old_register_05_value
1318                   old_register_06_value
1319                   old_register_07_value
1320                   old_register_10_value
1321                   old_register_11_value
1322                   old_register_12_value
1323                   old_register_13_value
1324                   old_register_14_value
1325                   (Some ? b)
1326                   old_register_16_value
1327                   old_register_17_value
1328                   old_register_20_value
1329                   old_register_21_value
1330                   old_register_22_value
1331                   old_register_23_value
1332                   old_register_24_value
1333                   old_register_25_value
1334                   old_register_26_value
1335                   old_register_27_value
1336                   old_register_30_value
1337                   old_register_31_value
1338                   old_register_32_value
1339                   old_register_33_value
1340                   old_register_34_value
1341                   old_register_35_value
1342                   old_register_36_value
1343                   old_register_37_value
1344                   old_register_A_value
1345                   old_register_B_value
1346                   old_register_DPL_value
1347                   old_register_DPH_value.
1348
1349definition update_register_16: Byte → RegisterMap → RegisterMap ≝
1350  λb: Byte.
1351  λm: RegisterMap.
1352  let old_register_00_value ≝ register_00_value m in
1353  let old_register_01_value ≝ register_01_value m in
1354  let old_register_02_value ≝ register_02_value m in
1355  let old_register_03_value ≝ register_03_value m in
1356  let old_register_04_value ≝ register_04_value m in
1357  let old_register_05_value ≝ register_05_value m in
1358  let old_register_06_value ≝ register_06_value m in
1359  let old_register_07_value ≝ register_07_value m in
1360  let old_register_10_value ≝ register_01_value m in
1361  let old_register_11_value ≝ register_01_value m in
1362  let old_register_12_value ≝ register_02_value m in
1363  let old_register_13_value ≝ register_03_value m in
1364  let old_register_14_value ≝ register_04_value m in
1365  let old_register_15_value ≝ register_05_value m in
1366  let old_register_16_value ≝ register_06_value m in
1367  let old_register_17_value ≝ register_07_value m in
1368  let old_register_20_value ≝ register_01_value m in
1369  let old_register_21_value ≝ register_02_value m in
1370  let old_register_22_value ≝ register_02_value m in
1371  let old_register_23_value ≝ register_03_value m in
1372  let old_register_24_value ≝ register_04_value m in
1373  let old_register_25_value ≝ register_05_value m in
1374  let old_register_26_value ≝ register_06_value m in
1375  let old_register_27_value ≝ register_07_value m in
1376  let old_register_30_value ≝ register_01_value m in
1377  let old_register_31_value ≝ register_02_value m in
1378  let old_register_32_value ≝ register_02_value m in
1379  let old_register_33_value ≝ register_03_value m in
1380  let old_register_34_value ≝ register_04_value m in
1381  let old_register_35_value ≝ register_05_value m in
1382  let old_register_36_value ≝ register_06_value m in
1383  let old_register_37_value ≝ register_07_value m in
1384  let old_register_A_value ≝ register_A_value m in
1385  let old_register_B_value ≝ register_B_value m in
1386  let old_register_DPL_value ≝ register_DPL_value m in
1387  let old_register_DPH_value ≝ register_DPH_value m in
1388    mk_RegisterMap old_register_00_value
1389                   old_register_01_value
1390                   old_register_02_value
1391                   old_register_03_value
1392                   old_register_04_value
1393                   old_register_05_value
1394                   old_register_06_value
1395                   old_register_07_value
1396                   old_register_10_value
1397                   old_register_11_value
1398                   old_register_12_value
1399                   old_register_13_value
1400                   old_register_14_value
1401                   old_register_15_value
1402                   (Some ? b)
1403                   old_register_17_value
1404                   old_register_20_value
1405                   old_register_21_value
1406                   old_register_22_value
1407                   old_register_23_value
1408                   old_register_24_value
1409                   old_register_25_value
1410                   old_register_26_value
1411                   old_register_27_value
1412                   old_register_30_value
1413                   old_register_31_value
1414                   old_register_32_value
1415                   old_register_33_value
1416                   old_register_34_value
1417                   old_register_35_value
1418                   old_register_36_value
1419                   old_register_37_value
1420                   old_register_A_value
1421                   old_register_B_value
1422                   old_register_DPL_value
1423                   old_register_DPH_value.
1424
1425definition update_register_17: Byte → RegisterMap → RegisterMap ≝
1426  λb: Byte.
1427  λm: RegisterMap.
1428  let old_register_00_value ≝ register_00_value m in
1429  let old_register_01_value ≝ register_01_value m in
1430  let old_register_02_value ≝ register_02_value m in
1431  let old_register_03_value ≝ register_03_value m in
1432  let old_register_04_value ≝ register_04_value m in
1433  let old_register_05_value ≝ register_05_value m in
1434  let old_register_06_value ≝ register_06_value m in
1435  let old_register_07_value ≝ register_07_value m in
1436  let old_register_10_value ≝ register_01_value m in
1437  let old_register_11_value ≝ register_01_value m in
1438  let old_register_12_value ≝ register_02_value m in
1439  let old_register_13_value ≝ register_03_value m in
1440  let old_register_14_value ≝ register_04_value m in
1441  let old_register_15_value ≝ register_05_value m in
1442  let old_register_16_value ≝ register_06_value m in
1443  let old_register_17_value ≝ register_07_value m in
1444  let old_register_20_value ≝ register_01_value m in
1445  let old_register_21_value ≝ register_02_value m in
1446  let old_register_22_value ≝ register_02_value m in
1447  let old_register_23_value ≝ register_03_value m in
1448  let old_register_24_value ≝ register_04_value m in
1449  let old_register_25_value ≝ register_05_value m in
1450  let old_register_26_value ≝ register_06_value m in
1451  let old_register_27_value ≝ register_07_value m in
1452  let old_register_30_value ≝ register_01_value m in
1453  let old_register_31_value ≝ register_02_value m in
1454  let old_register_32_value ≝ register_02_value m in
1455  let old_register_33_value ≝ register_03_value m in
1456  let old_register_34_value ≝ register_04_value m in
1457  let old_register_35_value ≝ register_05_value m in
1458  let old_register_36_value ≝ register_06_value m in
1459  let old_register_37_value ≝ register_07_value m in
1460  let old_register_A_value ≝ register_A_value m in
1461  let old_register_B_value ≝ register_B_value m in
1462  let old_register_DPL_value ≝ register_DPL_value m in
1463  let old_register_DPH_value ≝ register_DPH_value m in
1464    mk_RegisterMap old_register_00_value
1465                   old_register_01_value
1466                   old_register_02_value
1467                   old_register_03_value
1468                   old_register_04_value
1469                   old_register_05_value
1470                   old_register_06_value
1471                   old_register_07_value
1472                   old_register_10_value
1473                   old_register_11_value
1474                   old_register_12_value
1475                   old_register_13_value
1476                   old_register_14_value
1477                   old_register_15_value
1478                   old_register_16_value
1479                   (Some ? b)
1480                   old_register_20_value
1481                   old_register_21_value
1482                   old_register_22_value
1483                   old_register_23_value
1484                   old_register_24_value
1485                   old_register_25_value
1486                   old_register_26_value
1487                   old_register_27_value
1488                   old_register_30_value
1489                   old_register_31_value
1490                   old_register_32_value
1491                   old_register_33_value
1492                   old_register_34_value
1493                   old_register_35_value
1494                   old_register_36_value
1495                   old_register_37_value
1496                   old_register_A_value
1497                   old_register_B_value
1498                   old_register_DPL_value
1499                   old_register_DPH_value.
1500
1501definition update_register_20: Byte → RegisterMap → RegisterMap ≝
1502  λb: Byte.
1503  λm: RegisterMap.
1504  let old_register_00_value ≝ register_00_value m in
1505  let old_register_01_value ≝ register_01_value m in
1506  let old_register_02_value ≝ register_02_value m in
1507  let old_register_03_value ≝ register_03_value m in
1508  let old_register_04_value ≝ register_04_value m in
1509  let old_register_05_value ≝ register_05_value m in
1510  let old_register_06_value ≝ register_06_value m in
1511  let old_register_07_value ≝ register_07_value m in
1512  let old_register_10_value ≝ register_01_value m in
1513  let old_register_11_value ≝ register_01_value m in
1514  let old_register_12_value ≝ register_02_value m in
1515  let old_register_13_value ≝ register_03_value m in
1516  let old_register_14_value ≝ register_04_value m in
1517  let old_register_15_value ≝ register_05_value m in
1518  let old_register_16_value ≝ register_06_value m in
1519  let old_register_17_value ≝ register_07_value m in
1520  let old_register_20_value ≝ register_01_value m in
1521  let old_register_21_value ≝ register_02_value m in
1522  let old_register_22_value ≝ register_02_value m in
1523  let old_register_23_value ≝ register_03_value m in
1524  let old_register_24_value ≝ register_04_value m in
1525  let old_register_25_value ≝ register_05_value m in
1526  let old_register_26_value ≝ register_06_value m in
1527  let old_register_27_value ≝ register_07_value m in
1528  let old_register_30_value ≝ register_01_value m in
1529  let old_register_31_value ≝ register_02_value m in
1530  let old_register_32_value ≝ register_02_value m in
1531  let old_register_33_value ≝ register_03_value m in
1532  let old_register_34_value ≝ register_04_value m in
1533  let old_register_35_value ≝ register_05_value m in
1534  let old_register_36_value ≝ register_06_value m in
1535  let old_register_37_value ≝ register_07_value m in
1536  let old_register_A_value ≝ register_A_value m in
1537  let old_register_B_value ≝ register_B_value m in
1538  let old_register_DPL_value ≝ register_DPL_value m in
1539  let old_register_DPH_value ≝ register_DPH_value m in
1540    mk_RegisterMap old_register_00_value
1541                   old_register_01_value
1542                   old_register_02_value
1543                   old_register_03_value
1544                   old_register_04_value
1545                   old_register_05_value
1546                   old_register_06_value
1547                   old_register_07_value
1548                   old_register_10_value
1549                   old_register_11_value
1550                   old_register_12_value
1551                   old_register_13_value
1552                   old_register_14_value
1553                   old_register_15_value
1554                   old_register_16_value
1555                   old_register_17_value
1556                   (Some ? b)
1557                   old_register_21_value
1558                   old_register_22_value
1559                   old_register_23_value
1560                   old_register_24_value
1561                   old_register_25_value
1562                   old_register_26_value
1563                   old_register_27_value
1564                   old_register_30_value
1565                   old_register_31_value
1566                   old_register_32_value
1567                   old_register_33_value
1568                   old_register_34_value
1569                   old_register_35_value
1570                   old_register_36_value
1571                   old_register_37_value
1572                   old_register_A_value
1573                   old_register_B_value
1574                   old_register_DPL_value
1575                   old_register_DPH_value.
1576
1577definition update_register_21: Byte → RegisterMap → RegisterMap ≝
1578  λb: Byte.
1579  λm: RegisterMap.
1580  let old_register_00_value ≝ register_00_value m in
1581  let old_register_01_value ≝ register_01_value m in
1582  let old_register_02_value ≝ register_02_value m in
1583  let old_register_03_value ≝ register_03_value m in
1584  let old_register_04_value ≝ register_04_value m in
1585  let old_register_05_value ≝ register_05_value m in
1586  let old_register_06_value ≝ register_06_value m in
1587  let old_register_07_value ≝ register_07_value m in
1588  let old_register_10_value ≝ register_01_value m in
1589  let old_register_11_value ≝ register_01_value m in
1590  let old_register_12_value ≝ register_02_value m in
1591  let old_register_13_value ≝ register_03_value m in
1592  let old_register_14_value ≝ register_04_value m in
1593  let old_register_15_value ≝ register_05_value m in
1594  let old_register_16_value ≝ register_06_value m in
1595  let old_register_17_value ≝ register_07_value m in
1596  let old_register_20_value ≝ register_01_value m in
1597  let old_register_21_value ≝ register_02_value m in
1598  let old_register_22_value ≝ register_02_value m in
1599  let old_register_23_value ≝ register_03_value m in
1600  let old_register_24_value ≝ register_04_value m in
1601  let old_register_25_value ≝ register_05_value m in
1602  let old_register_26_value ≝ register_06_value m in
1603  let old_register_27_value ≝ register_07_value m in
1604  let old_register_30_value ≝ register_01_value m in
1605  let old_register_31_value ≝ register_02_value m in
1606  let old_register_32_value ≝ register_02_value m in
1607  let old_register_33_value ≝ register_03_value m in
1608  let old_register_34_value ≝ register_04_value m in
1609  let old_register_35_value ≝ register_05_value m in
1610  let old_register_36_value ≝ register_06_value m in
1611  let old_register_37_value ≝ register_07_value m in
1612  let old_register_A_value ≝ register_A_value m in
1613  let old_register_B_value ≝ register_B_value m in
1614  let old_register_DPL_value ≝ register_DPL_value m in
1615  let old_register_DPH_value ≝ register_DPH_value m in
1616    mk_RegisterMap old_register_00_value
1617                   old_register_01_value
1618                   old_register_02_value
1619                   old_register_03_value
1620                   old_register_04_value
1621                   old_register_05_value
1622                   old_register_06_value
1623                   old_register_07_value
1624                   old_register_10_value
1625                   old_register_11_value
1626                   old_register_12_value
1627                   old_register_13_value
1628                   old_register_14_value
1629                   old_register_15_value
1630                   old_register_16_value
1631                   old_register_17_value
1632                   old_register_20_value
1633                   (Some ? b)
1634                   old_register_22_value
1635                   old_register_23_value
1636                   old_register_24_value
1637                   old_register_25_value
1638                   old_register_26_value
1639                   old_register_27_value
1640                   old_register_30_value
1641                   old_register_31_value
1642                   old_register_32_value
1643                   old_register_33_value
1644                   old_register_34_value
1645                   old_register_35_value
1646                   old_register_36_value
1647                   old_register_37_value
1648                   old_register_A_value
1649                   old_register_B_value
1650                   old_register_DPL_value
1651                   old_register_DPH_value.
1652
1653definition update_register_22: Byte → RegisterMap → RegisterMap ≝
1654  λb: Byte.
1655  λm: RegisterMap.
1656  let old_register_00_value ≝ register_00_value m in
1657  let old_register_01_value ≝ register_01_value m in
1658  let old_register_02_value ≝ register_02_value m in
1659  let old_register_03_value ≝ register_03_value m in
1660  let old_register_04_value ≝ register_04_value m in
1661  let old_register_05_value ≝ register_05_value m in
1662  let old_register_06_value ≝ register_06_value m in
1663  let old_register_07_value ≝ register_07_value m in
1664  let old_register_10_value ≝ register_01_value m in
1665  let old_register_11_value ≝ register_01_value m in
1666  let old_register_12_value ≝ register_02_value m in
1667  let old_register_13_value ≝ register_03_value m in
1668  let old_register_14_value ≝ register_04_value m in
1669  let old_register_15_value ≝ register_05_value m in
1670  let old_register_16_value ≝ register_06_value m in
1671  let old_register_17_value ≝ register_07_value m in
1672  let old_register_20_value ≝ register_01_value m in
1673  let old_register_21_value ≝ register_02_value m in
1674  let old_register_22_value ≝ register_02_value m in
1675  let old_register_23_value ≝ register_03_value m in
1676  let old_register_24_value ≝ register_04_value m in
1677  let old_register_25_value ≝ register_05_value m in
1678  let old_register_26_value ≝ register_06_value m in
1679  let old_register_27_value ≝ register_07_value m in
1680  let old_register_30_value ≝ register_01_value m in
1681  let old_register_31_value ≝ register_02_value m in
1682  let old_register_32_value ≝ register_02_value m in
1683  let old_register_33_value ≝ register_03_value m in
1684  let old_register_34_value ≝ register_04_value m in
1685  let old_register_35_value ≝ register_05_value m in
1686  let old_register_36_value ≝ register_06_value m in
1687  let old_register_37_value ≝ register_07_value m in
1688  let old_register_A_value ≝ register_A_value m in
1689  let old_register_B_value ≝ register_B_value m in
1690  let old_register_DPL_value ≝ register_DPL_value m in
1691  let old_register_DPH_value ≝ register_DPH_value m in
1692    mk_RegisterMap old_register_00_value
1693                   old_register_01_value
1694                   old_register_02_value
1695                   old_register_03_value
1696                   old_register_04_value
1697                   old_register_05_value
1698                   old_register_06_value
1699                   old_register_07_value
1700                   old_register_10_value
1701                   old_register_11_value
1702                   old_register_12_value
1703                   old_register_13_value
1704                   old_register_14_value
1705                   old_register_15_value
1706                   old_register_16_value
1707                   old_register_17_value
1708                   old_register_20_value
1709                   old_register_21_value
1710                   (Some ? b)
1711                   old_register_23_value
1712                   old_register_24_value
1713                   old_register_25_value
1714                   old_register_26_value
1715                   old_register_27_value
1716                   old_register_30_value
1717                   old_register_31_value
1718                   old_register_32_value
1719                   old_register_33_value
1720                   old_register_34_value
1721                   old_register_35_value
1722                   old_register_36_value
1723                   old_register_37_value
1724                   old_register_A_value
1725                   old_register_B_value
1726                   old_register_DPL_value
1727                   old_register_DPH_value.
1728                   
1729definition update_register_23: Byte → RegisterMap → RegisterMap ≝
1730  λb: Byte.
1731  λm: RegisterMap.
1732  let old_register_00_value ≝ register_00_value m in
1733  let old_register_01_value ≝ register_01_value m in
1734  let old_register_02_value ≝ register_02_value m in
1735  let old_register_03_value ≝ register_03_value m in
1736  let old_register_04_value ≝ register_04_value m in
1737  let old_register_05_value ≝ register_05_value m in
1738  let old_register_06_value ≝ register_06_value m in
1739  let old_register_07_value ≝ register_07_value m in
1740  let old_register_10_value ≝ register_01_value m in
1741  let old_register_11_value ≝ register_01_value m in
1742  let old_register_12_value ≝ register_02_value m in
1743  let old_register_13_value ≝ register_03_value m in
1744  let old_register_14_value ≝ register_04_value m in
1745  let old_register_15_value ≝ register_05_value m in
1746  let old_register_16_value ≝ register_06_value m in
1747  let old_register_17_value ≝ register_07_value m in
1748  let old_register_20_value ≝ register_01_value m in
1749  let old_register_21_value ≝ register_02_value m in
1750  let old_register_22_value ≝ register_02_value m in
1751  let old_register_23_value ≝ register_03_value m in
1752  let old_register_24_value ≝ register_04_value m in
1753  let old_register_25_value ≝ register_05_value m in
1754  let old_register_26_value ≝ register_06_value m in
1755  let old_register_27_value ≝ register_07_value m in
1756  let old_register_30_value ≝ register_01_value m in
1757  let old_register_31_value ≝ register_02_value m in
1758  let old_register_32_value ≝ register_02_value m in
1759  let old_register_33_value ≝ register_03_value m in
1760  let old_register_34_value ≝ register_04_value m in
1761  let old_register_35_value ≝ register_05_value m in
1762  let old_register_36_value ≝ register_06_value m in
1763  let old_register_37_value ≝ register_07_value m in
1764  let old_register_A_value ≝ register_A_value m in
1765  let old_register_B_value ≝ register_B_value m in
1766  let old_register_DPL_value ≝ register_DPL_value m in
1767  let old_register_DPH_value ≝ register_DPH_value m in
1768    mk_RegisterMap old_register_00_value
1769                   old_register_01_value
1770                   old_register_02_value
1771                   old_register_03_value
1772                   old_register_04_value
1773                   old_register_05_value
1774                   old_register_06_value
1775                   old_register_07_value
1776                   old_register_10_value
1777                   old_register_11_value
1778                   old_register_12_value
1779                   old_register_13_value
1780                   old_register_14_value
1781                   old_register_15_value
1782                   old_register_16_value
1783                   old_register_17_value
1784                   old_register_20_value
1785                   old_register_21_value
1786                   old_register_22_value
1787                   (Some ? b)
1788                   old_register_24_value
1789                   old_register_25_value
1790                   old_register_26_value
1791                   old_register_27_value
1792                   old_register_30_value
1793                   old_register_31_value
1794                   old_register_32_value
1795                   old_register_33_value
1796                   old_register_34_value
1797                   old_register_35_value
1798                   old_register_36_value
1799                   old_register_37_value
1800                   old_register_A_value
1801                   old_register_B_value
1802                   old_register_DPL_value
1803                   old_register_DPH_value.
1804                   
1805definition update_register_24: Byte → RegisterMap → RegisterMap ≝
1806  λb: Byte.
1807  λm: RegisterMap.
1808  let old_register_00_value ≝ register_00_value m in
1809  let old_register_01_value ≝ register_01_value m in
1810  let old_register_02_value ≝ register_02_value m in
1811  let old_register_03_value ≝ register_03_value m in
1812  let old_register_04_value ≝ register_04_value m in
1813  let old_register_05_value ≝ register_05_value m in
1814  let old_register_06_value ≝ register_06_value m in
1815  let old_register_07_value ≝ register_07_value m in
1816  let old_register_10_value ≝ register_01_value m in
1817  let old_register_11_value ≝ register_01_value m in
1818  let old_register_12_value ≝ register_02_value m in
1819  let old_register_13_value ≝ register_03_value m in
1820  let old_register_14_value ≝ register_04_value m in
1821  let old_register_15_value ≝ register_05_value m in
1822  let old_register_16_value ≝ register_06_value m in
1823  let old_register_17_value ≝ register_07_value m in
1824  let old_register_20_value ≝ register_01_value m in
1825  let old_register_21_value ≝ register_02_value m in
1826  let old_register_22_value ≝ register_02_value m in
1827  let old_register_23_value ≝ register_03_value m in
1828  let old_register_24_value ≝ register_04_value m in
1829  let old_register_25_value ≝ register_05_value m in
1830  let old_register_26_value ≝ register_06_value m in
1831  let old_register_27_value ≝ register_07_value m in
1832  let old_register_30_value ≝ register_01_value m in
1833  let old_register_31_value ≝ register_02_value m in
1834  let old_register_32_value ≝ register_02_value m in
1835  let old_register_33_value ≝ register_03_value m in
1836  let old_register_34_value ≝ register_04_value m in
1837  let old_register_35_value ≝ register_05_value m in
1838  let old_register_36_value ≝ register_06_value m in
1839  let old_register_37_value ≝ register_07_value m in
1840  let old_register_A_value ≝ register_A_value m in
1841  let old_register_B_value ≝ register_B_value m in
1842  let old_register_DPL_value ≝ register_DPL_value m in
1843  let old_register_DPH_value ≝ register_DPH_value m in
1844    mk_RegisterMap old_register_00_value
1845                   old_register_01_value
1846                   old_register_02_value
1847                   old_register_03_value
1848                   old_register_04_value
1849                   old_register_05_value
1850                   old_register_06_value
1851                   old_register_07_value
1852                   old_register_10_value
1853                   old_register_11_value
1854                   old_register_12_value
1855                   old_register_13_value
1856                   old_register_14_value
1857                   old_register_15_value
1858                   old_register_16_value
1859                   old_register_17_value
1860                   old_register_20_value
1861                   old_register_21_value
1862                   old_register_22_value
1863                   old_register_23_value
1864                   (Some ? b)
1865                   old_register_25_value
1866                   old_register_26_value
1867                   old_register_27_value
1868                   old_register_30_value
1869                   old_register_31_value
1870                   old_register_32_value
1871                   old_register_33_value
1872                   old_register_34_value
1873                   old_register_35_value
1874                   old_register_36_value
1875                   old_register_37_value
1876                   old_register_A_value
1877                   old_register_B_value
1878                   old_register_DPL_value
1879                   old_register_DPH_value.
1880
1881definition update_register_25: Byte → RegisterMap → RegisterMap ≝
1882  λb: Byte.
1883  λm: RegisterMap.
1884  let old_register_00_value ≝ register_00_value m in
1885  let old_register_01_value ≝ register_01_value m in
1886  let old_register_02_value ≝ register_02_value m in
1887  let old_register_03_value ≝ register_03_value m in
1888  let old_register_04_value ≝ register_04_value m in
1889  let old_register_05_value ≝ register_05_value m in
1890  let old_register_06_value ≝ register_06_value m in
1891  let old_register_07_value ≝ register_07_value m in
1892  let old_register_10_value ≝ register_01_value m in
1893  let old_register_11_value ≝ register_01_value m in
1894  let old_register_12_value ≝ register_02_value m in
1895  let old_register_13_value ≝ register_03_value m in
1896  let old_register_14_value ≝ register_04_value m in
1897  let old_register_15_value ≝ register_05_value m in
1898  let old_register_16_value ≝ register_06_value m in
1899  let old_register_17_value ≝ register_07_value m in
1900  let old_register_20_value ≝ register_01_value m in
1901  let old_register_21_value ≝ register_02_value m in
1902  let old_register_22_value ≝ register_02_value m in
1903  let old_register_23_value ≝ register_03_value m in
1904  let old_register_24_value ≝ register_04_value m in
1905  let old_register_25_value ≝ register_05_value m in
1906  let old_register_26_value ≝ register_06_value m in
1907  let old_register_27_value ≝ register_07_value m in
1908  let old_register_30_value ≝ register_01_value m in
1909  let old_register_31_value ≝ register_02_value m in
1910  let old_register_32_value ≝ register_02_value m in
1911  let old_register_33_value ≝ register_03_value m in
1912  let old_register_34_value ≝ register_04_value m in
1913  let old_register_35_value ≝ register_05_value m in
1914  let old_register_36_value ≝ register_06_value m in
1915  let old_register_37_value ≝ register_07_value m in
1916  let old_register_A_value ≝ register_A_value m in
1917  let old_register_B_value ≝ register_B_value m in
1918  let old_register_DPL_value ≝ register_DPL_value m in
1919  let old_register_DPH_value ≝ register_DPH_value m in
1920    mk_RegisterMap old_register_00_value
1921                   old_register_01_value
1922                   old_register_02_value
1923                   old_register_03_value
1924                   old_register_04_value
1925                   old_register_05_value
1926                   old_register_06_value
1927                   old_register_07_value
1928                   old_register_10_value
1929                   old_register_11_value
1930                   old_register_12_value
1931                   old_register_13_value
1932                   old_register_14_value
1933                   old_register_15_value
1934                   old_register_16_value
1935                   old_register_17_value
1936                   old_register_20_value
1937                   old_register_21_value
1938                   old_register_22_value
1939                   old_register_23_value
1940                   old_register_24_value
1941                   (Some ? b)
1942                   old_register_26_value
1943                   old_register_27_value
1944                   old_register_30_value
1945                   old_register_31_value
1946                   old_register_32_value
1947                   old_register_33_value
1948                   old_register_34_value
1949                   old_register_35_value
1950                   old_register_36_value
1951                   old_register_37_value
1952                   old_register_A_value
1953                   old_register_B_value
1954                   old_register_DPL_value
1955                   old_register_DPH_value.
1956
1957definition update_register_26: Byte → RegisterMap → RegisterMap ≝
1958  λb: Byte.
1959  λm: RegisterMap.
1960  let old_register_00_value ≝ register_00_value m in
1961  let old_register_01_value ≝ register_01_value m in
1962  let old_register_02_value ≝ register_02_value m in
1963  let old_register_03_value ≝ register_03_value m in
1964  let old_register_04_value ≝ register_04_value m in
1965  let old_register_05_value ≝ register_05_value m in
1966  let old_register_06_value ≝ register_06_value m in
1967  let old_register_07_value ≝ register_07_value m in
1968  let old_register_10_value ≝ register_01_value m in
1969  let old_register_11_value ≝ register_01_value m in
1970  let old_register_12_value ≝ register_02_value m in
1971  let old_register_13_value ≝ register_03_value m in
1972  let old_register_14_value ≝ register_04_value m in
1973  let old_register_15_value ≝ register_05_value m in
1974  let old_register_16_value ≝ register_06_value m in
1975  let old_register_17_value ≝ register_07_value m in
1976  let old_register_20_value ≝ register_01_value m in
1977  let old_register_21_value ≝ register_02_value m in
1978  let old_register_22_value ≝ register_02_value m in
1979  let old_register_23_value ≝ register_03_value m in
1980  let old_register_24_value ≝ register_04_value m in
1981  let old_register_25_value ≝ register_05_value m in
1982  let old_register_26_value ≝ register_06_value m in
1983  let old_register_27_value ≝ register_07_value m in
1984  let old_register_30_value ≝ register_01_value m in
1985  let old_register_31_value ≝ register_02_value m in
1986  let old_register_32_value ≝ register_02_value m in
1987  let old_register_33_value ≝ register_03_value m in
1988  let old_register_34_value ≝ register_04_value m in
1989  let old_register_35_value ≝ register_05_value m in
1990  let old_register_36_value ≝ register_06_value m in
1991  let old_register_37_value ≝ register_07_value m in
1992  let old_register_A_value ≝ register_A_value m in
1993  let old_register_B_value ≝ register_B_value m in
1994  let old_register_DPL_value ≝ register_DPL_value m in
1995  let old_register_DPH_value ≝ register_DPH_value m in
1996    mk_RegisterMap old_register_00_value
1997                   old_register_01_value
1998                   old_register_02_value
1999                   old_register_03_value
2000                   old_register_04_value
2001                   old_register_05_value
2002                   old_register_06_value
2003                   old_register_07_value
2004                   old_register_10_value
2005                   old_register_11_value
2006                   old_register_12_value
2007                   old_register_13_value
2008                   old_register_14_value
2009                   old_register_15_value
2010                   old_register_16_value
2011                   old_register_17_value
2012                   old_register_20_value
2013                   old_register_21_value
2014                   old_register_22_value
2015                   old_register_23_value
2016                   old_register_24_value
2017                   old_register_25_value
2018                   (Some ? b)
2019                   old_register_27_value
2020                   old_register_30_value
2021                   old_register_31_value
2022                   old_register_32_value
2023                   old_register_33_value
2024                   old_register_34_value
2025                   old_register_35_value
2026                   old_register_36_value
2027                   old_register_37_value
2028                   old_register_A_value
2029                   old_register_B_value
2030                   old_register_DPL_value
2031                   old_register_DPH_value.
2032
2033definition update_register_27: Byte → RegisterMap → RegisterMap ≝
2034  λb: Byte.
2035  λm: RegisterMap.
2036  let old_register_00_value ≝ register_00_value m in
2037  let old_register_01_value ≝ register_01_value m in
2038  let old_register_02_value ≝ register_02_value m in
2039  let old_register_03_value ≝ register_03_value m in
2040  let old_register_04_value ≝ register_04_value m in
2041  let old_register_05_value ≝ register_05_value m in
2042  let old_register_06_value ≝ register_06_value m in
2043  let old_register_07_value ≝ register_07_value m in
2044  let old_register_10_value ≝ register_01_value m in
2045  let old_register_11_value ≝ register_01_value m in
2046  let old_register_12_value ≝ register_02_value m in
2047  let old_register_13_value ≝ register_03_value m in
2048  let old_register_14_value ≝ register_04_value m in
2049  let old_register_15_value ≝ register_05_value m in
2050  let old_register_16_value ≝ register_06_value m in
2051  let old_register_17_value ≝ register_07_value m in
2052  let old_register_20_value ≝ register_01_value m in
2053  let old_register_21_value ≝ register_02_value m in
2054  let old_register_22_value ≝ register_02_value m in
2055  let old_register_23_value ≝ register_03_value m in
2056  let old_register_24_value ≝ register_04_value m in
2057  let old_register_25_value ≝ register_05_value m in
2058  let old_register_26_value ≝ register_06_value m in
2059  let old_register_27_value ≝ register_07_value m in
2060  let old_register_30_value ≝ register_01_value m in
2061  let old_register_31_value ≝ register_02_value m in
2062  let old_register_32_value ≝ register_02_value m in
2063  let old_register_33_value ≝ register_03_value m in
2064  let old_register_34_value ≝ register_04_value m in
2065  let old_register_35_value ≝ register_05_value m in
2066  let old_register_36_value ≝ register_06_value m in
2067  let old_register_37_value ≝ register_07_value m in
2068  let old_register_A_value ≝ register_A_value m in
2069  let old_register_B_value ≝ register_B_value m in
2070  let old_register_DPL_value ≝ register_DPL_value m in
2071  let old_register_DPH_value ≝ register_DPH_value m in
2072    mk_RegisterMap old_register_00_value
2073                   old_register_01_value
2074                   old_register_02_value
2075                   old_register_03_value
2076                   old_register_04_value
2077                   old_register_05_value
2078                   old_register_06_value
2079                   old_register_07_value
2080                   old_register_10_value
2081                   old_register_11_value
2082                   old_register_12_value
2083                   old_register_13_value
2084                   old_register_14_value
2085                   old_register_15_value
2086                   old_register_16_value
2087                   old_register_17_value
2088                   old_register_20_value
2089                   old_register_21_value
2090                   old_register_22_value
2091                   old_register_23_value
2092                   old_register_24_value
2093                   old_register_25_value
2094                   old_register_26_value
2095                   (Some ? b)
2096                   old_register_30_value
2097                   old_register_31_value
2098                   old_register_32_value
2099                   old_register_33_value
2100                   old_register_34_value
2101                   old_register_35_value
2102                   old_register_36_value
2103                   old_register_37_value
2104                   old_register_A_value
2105                   old_register_B_value
2106                   old_register_DPL_value
2107                   old_register_DPH_value.
2108
2109definition update_register_30: Byte → RegisterMap → RegisterMap ≝
2110  λb: Byte.
2111  λm: RegisterMap.
2112  let old_register_00_value ≝ register_00_value m in
2113  let old_register_01_value ≝ register_01_value m in
2114  let old_register_02_value ≝ register_02_value m in
2115  let old_register_03_value ≝ register_03_value m in
2116  let old_register_04_value ≝ register_04_value m in
2117  let old_register_05_value ≝ register_05_value m in
2118  let old_register_06_value ≝ register_06_value m in
2119  let old_register_07_value ≝ register_07_value m in
2120  let old_register_10_value ≝ register_01_value m in
2121  let old_register_11_value ≝ register_01_value m in
2122  let old_register_12_value ≝ register_02_value m in
2123  let old_register_13_value ≝ register_03_value m in
2124  let old_register_14_value ≝ register_04_value m in
2125  let old_register_15_value ≝ register_05_value m in
2126  let old_register_16_value ≝ register_06_value m in
2127  let old_register_17_value ≝ register_07_value m in
2128  let old_register_20_value ≝ register_01_value m in
2129  let old_register_21_value ≝ register_02_value m in
2130  let old_register_22_value ≝ register_02_value m in
2131  let old_register_23_value ≝ register_03_value m in
2132  let old_register_24_value ≝ register_04_value m in
2133  let old_register_25_value ≝ register_05_value m in
2134  let old_register_26_value ≝ register_06_value m in
2135  let old_register_27_value ≝ register_07_value m in
2136  let old_register_30_value ≝ register_01_value m in
2137  let old_register_31_value ≝ register_02_value m in
2138  let old_register_32_value ≝ register_02_value m in
2139  let old_register_33_value ≝ register_03_value m in
2140  let old_register_34_value ≝ register_04_value m in
2141  let old_register_35_value ≝ register_05_value m in
2142  let old_register_36_value ≝ register_06_value m in
2143  let old_register_37_value ≝ register_07_value m in
2144  let old_register_A_value ≝ register_A_value m in
2145  let old_register_B_value ≝ register_B_value m in
2146  let old_register_DPL_value ≝ register_DPL_value m in
2147  let old_register_DPH_value ≝ register_DPH_value m in
2148    mk_RegisterMap old_register_00_value
2149                   old_register_01_value
2150                   old_register_02_value
2151                   old_register_03_value
2152                   old_register_04_value
2153                   old_register_05_value
2154                   old_register_06_value
2155                   old_register_07_value
2156                   old_register_10_value
2157                   old_register_11_value
2158                   old_register_12_value
2159                   old_register_13_value
2160                   old_register_14_value
2161                   old_register_15_value
2162                   old_register_16_value
2163                   old_register_17_value
2164                   old_register_20_value
2165                   old_register_21_value
2166                   old_register_22_value
2167                   old_register_23_value
2168                   old_register_24_value
2169                   old_register_25_value
2170                   old_register_26_value
2171                   old_register_27_value
2172                   (Some ? b)
2173                   old_register_31_value
2174                   old_register_32_value
2175                   old_register_33_value
2176                   old_register_34_value
2177                   old_register_35_value
2178                   old_register_36_value
2179                   old_register_37_value
2180                   old_register_A_value
2181                   old_register_B_value
2182                   old_register_DPL_value
2183                   old_register_DPH_value.
2184
2185definition update_register_31: Byte → RegisterMap → RegisterMap ≝
2186  λb: Byte.
2187  λm: RegisterMap.
2188  let old_register_00_value ≝ register_00_value m in
2189  let old_register_01_value ≝ register_01_value m in
2190  let old_register_02_value ≝ register_02_value m in
2191  let old_register_03_value ≝ register_03_value m in
2192  let old_register_04_value ≝ register_04_value m in
2193  let old_register_05_value ≝ register_05_value m in
2194  let old_register_06_value ≝ register_06_value m in
2195  let old_register_07_value ≝ register_07_value m in
2196  let old_register_10_value ≝ register_01_value m in
2197  let old_register_11_value ≝ register_01_value m in
2198  let old_register_12_value ≝ register_02_value m in
2199  let old_register_13_value ≝ register_03_value m in
2200  let old_register_14_value ≝ register_04_value m in
2201  let old_register_15_value ≝ register_05_value m in
2202  let old_register_16_value ≝ register_06_value m in
2203  let old_register_17_value ≝ register_07_value m in
2204  let old_register_20_value ≝ register_01_value m in
2205  let old_register_21_value ≝ register_02_value m in
2206  let old_register_22_value ≝ register_02_value m in
2207  let old_register_23_value ≝ register_03_value m in
2208  let old_register_24_value ≝ register_04_value m in
2209  let old_register_25_value ≝ register_05_value m in
2210  let old_register_26_value ≝ register_06_value m in
2211  let old_register_27_value ≝ register_07_value m in
2212  let old_register_30_value ≝ register_01_value m in
2213  let old_register_31_value ≝ register_02_value m in
2214  let old_register_32_value ≝ register_02_value m in
2215  let old_register_33_value ≝ register_03_value m in
2216  let old_register_34_value ≝ register_04_value m in
2217  let old_register_35_value ≝ register_05_value m in
2218  let old_register_36_value ≝ register_06_value m in
2219  let old_register_37_value ≝ register_07_value m in
2220  let old_register_A_value ≝ register_A_value m in
2221  let old_register_B_value ≝ register_B_value m in
2222  let old_register_DPL_value ≝ register_DPL_value m in
2223  let old_register_DPH_value ≝ register_DPH_value m in
2224    mk_RegisterMap old_register_00_value
2225                   old_register_01_value
2226                   old_register_02_value
2227                   old_register_03_value
2228                   old_register_04_value
2229                   old_register_05_value
2230                   old_register_06_value
2231                   old_register_07_value
2232                   old_register_10_value
2233                   old_register_11_value
2234                   old_register_12_value
2235                   old_register_13_value
2236                   old_register_14_value
2237                   old_register_15_value
2238                   old_register_16_value
2239                   old_register_17_value
2240                   old_register_20_value
2241                   old_register_21_value
2242                   old_register_22_value
2243                   old_register_23_value
2244                   old_register_24_value
2245                   old_register_25_value
2246                   old_register_26_value
2247                   old_register_27_value
2248                   old_register_30_value
2249                   (Some ? b)
2250                   old_register_32_value
2251                   old_register_33_value
2252                   old_register_34_value
2253                   old_register_35_value
2254                   old_register_36_value
2255                   old_register_37_value
2256                   old_register_A_value
2257                   old_register_B_value
2258                   old_register_DPL_value
2259                   old_register_DPH_value.
2260
2261definition update_register_32: Byte → RegisterMap → RegisterMap ≝
2262  λb: Byte.
2263  λm: RegisterMap.
2264  let old_register_00_value ≝ register_00_value m in
2265  let old_register_01_value ≝ register_01_value m in
2266  let old_register_02_value ≝ register_02_value m in
2267  let old_register_03_value ≝ register_03_value m in
2268  let old_register_04_value ≝ register_04_value m in
2269  let old_register_05_value ≝ register_05_value m in
2270  let old_register_06_value ≝ register_06_value m in
2271  let old_register_07_value ≝ register_07_value m in
2272  let old_register_10_value ≝ register_01_value m in
2273  let old_register_11_value ≝ register_01_value m in
2274  let old_register_12_value ≝ register_02_value m in
2275  let old_register_13_value ≝ register_03_value m in
2276  let old_register_14_value ≝ register_04_value m in
2277  let old_register_15_value ≝ register_05_value m in
2278  let old_register_16_value ≝ register_06_value m in
2279  let old_register_17_value ≝ register_07_value m in
2280  let old_register_20_value ≝ register_01_value m in
2281  let old_register_21_value ≝ register_02_value m in
2282  let old_register_22_value ≝ register_02_value m in
2283  let old_register_23_value ≝ register_03_value m in
2284  let old_register_24_value ≝ register_04_value m in
2285  let old_register_25_value ≝ register_05_value m in
2286  let old_register_26_value ≝ register_06_value m in
2287  let old_register_27_value ≝ register_07_value m in
2288  let old_register_30_value ≝ register_01_value m in
2289  let old_register_31_value ≝ register_02_value m in
2290  let old_register_32_value ≝ register_02_value m in
2291  let old_register_33_value ≝ register_03_value m in
2292  let old_register_34_value ≝ register_04_value m in
2293  let old_register_35_value ≝ register_05_value m in
2294  let old_register_36_value ≝ register_06_value m in
2295  let old_register_37_value ≝ register_07_value m in
2296  let old_register_A_value ≝ register_A_value m in
2297  let old_register_B_value ≝ register_B_value m in
2298  let old_register_DPL_value ≝ register_DPL_value m in
2299  let old_register_DPH_value ≝ register_DPH_value m in
2300    mk_RegisterMap old_register_00_value
2301                   old_register_01_value
2302                   old_register_02_value
2303                   old_register_03_value
2304                   old_register_04_value
2305                   old_register_05_value
2306                   old_register_06_value
2307                   old_register_07_value
2308                   old_register_10_value
2309                   old_register_11_value
2310                   old_register_12_value
2311                   old_register_13_value
2312                   old_register_14_value
2313                   old_register_15_value
2314                   old_register_16_value
2315                   old_register_17_value
2316                   old_register_20_value
2317                   old_register_21_value
2318                   old_register_22_value
2319                   old_register_23_value
2320                   old_register_24_value
2321                   old_register_25_value
2322                   old_register_26_value
2323                   old_register_27_value
2324                   old_register_30_value
2325                   old_register_31_value
2326                   (Some ? b)
2327                   old_register_33_value
2328                   old_register_34_value
2329                   old_register_35_value
2330                   old_register_36_value
2331                   old_register_37_value
2332                   old_register_A_value
2333                   old_register_B_value
2334                   old_register_DPL_value
2335                   old_register_DPH_value.
2336
2337definition update_register_33: Byte → RegisterMap → RegisterMap ≝
2338  λb: Byte.
2339  λm: RegisterMap.
2340  let old_register_00_value ≝ register_00_value m in
2341  let old_register_01_value ≝ register_01_value m in
2342  let old_register_02_value ≝ register_02_value m in
2343  let old_register_03_value ≝ register_03_value m in
2344  let old_register_04_value ≝ register_04_value m in
2345  let old_register_05_value ≝ register_05_value m in
2346  let old_register_06_value ≝ register_06_value m in
2347  let old_register_07_value ≝ register_07_value m in
2348  let old_register_10_value ≝ register_01_value m in
2349  let old_register_11_value ≝ register_01_value m in
2350  let old_register_12_value ≝ register_02_value m in
2351  let old_register_13_value ≝ register_03_value m in
2352  let old_register_14_value ≝ register_04_value m in
2353  let old_register_15_value ≝ register_05_value m in
2354  let old_register_16_value ≝ register_06_value m in
2355  let old_register_17_value ≝ register_07_value m in
2356  let old_register_20_value ≝ register_01_value m in
2357  let old_register_21_value ≝ register_02_value m in
2358  let old_register_22_value ≝ register_02_value m in
2359  let old_register_23_value ≝ register_03_value m in
2360  let old_register_24_value ≝ register_04_value m in
2361  let old_register_25_value ≝ register_05_value m in
2362  let old_register_26_value ≝ register_06_value m in
2363  let old_register_27_value ≝ register_07_value m in
2364  let old_register_30_value ≝ register_01_value m in
2365  let old_register_31_value ≝ register_02_value m in
2366  let old_register_32_value ≝ register_02_value m in
2367  let old_register_33_value ≝ register_03_value m in
2368  let old_register_34_value ≝ register_04_value m in
2369  let old_register_35_value ≝ register_05_value m in
2370  let old_register_36_value ≝ register_06_value m in
2371  let old_register_37_value ≝ register_07_value m in
2372  let old_register_A_value ≝ register_A_value m in
2373  let old_register_B_value ≝ register_B_value m in
2374  let old_register_DPL_value ≝ register_DPL_value m in
2375  let old_register_DPH_value ≝ register_DPH_value m in
2376    mk_RegisterMap old_register_00_value
2377                   old_register_01_value
2378                   old_register_02_value
2379                   old_register_03_value
2380                   old_register_04_value
2381                   old_register_05_value
2382                   old_register_06_value
2383                   old_register_07_value
2384                   old_register_10_value
2385                   old_register_11_value
2386                   old_register_12_value
2387                   old_register_13_value
2388                   old_register_14_value
2389                   old_register_15_value
2390                   old_register_16_value
2391                   old_register_17_value
2392                   old_register_20_value
2393                   old_register_21_value
2394                   old_register_22_value
2395                   old_register_23_value
2396                   old_register_24_value
2397                   old_register_25_value
2398                   old_register_26_value
2399                   old_register_27_value
2400                   old_register_30_value
2401                   old_register_31_value
2402                   old_register_32_value
2403                   (Some ? b)
2404                   old_register_34_value
2405                   old_register_35_value
2406                   old_register_36_value
2407                   old_register_37_value
2408                   old_register_A_value
2409                   old_register_B_value
2410                   old_register_DPL_value
2411                   old_register_DPH_value.
2412
2413definition update_register_34: Byte → RegisterMap → RegisterMap ≝
2414  λb: Byte.
2415  λm: RegisterMap.
2416  let old_register_00_value ≝ register_00_value m in
2417  let old_register_01_value ≝ register_01_value m in
2418  let old_register_02_value ≝ register_02_value m in
2419  let old_register_03_value ≝ register_03_value m in
2420  let old_register_04_value ≝ register_04_value m in
2421  let old_register_05_value ≝ register_05_value m in
2422  let old_register_06_value ≝ register_06_value m in
2423  let old_register_07_value ≝ register_07_value m in
2424  let old_register_10_value ≝ register_01_value m in
2425  let old_register_11_value ≝ register_01_value m in
2426  let old_register_12_value ≝ register_02_value m in
2427  let old_register_13_value ≝ register_03_value m in
2428  let old_register_14_value ≝ register_04_value m in
2429  let old_register_15_value ≝ register_05_value m in
2430  let old_register_16_value ≝ register_06_value m in
2431  let old_register_17_value ≝ register_07_value m in
2432  let old_register_20_value ≝ register_01_value m in
2433  let old_register_21_value ≝ register_02_value m in
2434  let old_register_22_value ≝ register_02_value m in
2435  let old_register_23_value ≝ register_03_value m in
2436  let old_register_24_value ≝ register_04_value m in
2437  let old_register_25_value ≝ register_05_value m in
2438  let old_register_26_value ≝ register_06_value m in
2439  let old_register_27_value ≝ register_07_value m in
2440  let old_register_30_value ≝ register_01_value m in
2441  let old_register_31_value ≝ register_02_value m in
2442  let old_register_32_value ≝ register_02_value m in
2443  let old_register_33_value ≝ register_03_value m in
2444  let old_register_34_value ≝ register_04_value m in
2445  let old_register_35_value ≝ register_05_value m in
2446  let old_register_36_value ≝ register_06_value m in
2447  let old_register_37_value ≝ register_07_value m in
2448  let old_register_A_value ≝ register_A_value m in
2449  let old_register_B_value ≝ register_B_value m in
2450  let old_register_DPL_value ≝ register_DPL_value m in
2451  let old_register_DPH_value ≝ register_DPH_value m in
2452    mk_RegisterMap old_register_00_value
2453                   old_register_01_value
2454                   old_register_02_value
2455                   old_register_03_value
2456                   old_register_04_value
2457                   old_register_05_value
2458                   old_register_06_value
2459                   old_register_07_value
2460                   old_register_10_value
2461                   old_register_11_value
2462                   old_register_12_value
2463                   old_register_13_value
2464                   old_register_14_value
2465                   old_register_15_value
2466                   old_register_16_value
2467                   old_register_17_value
2468                   old_register_20_value
2469                   old_register_21_value
2470                   old_register_22_value
2471                   old_register_23_value
2472                   old_register_24_value
2473                   old_register_25_value
2474                   old_register_26_value
2475                   old_register_27_value
2476                   old_register_30_value
2477                   old_register_31_value
2478                   old_register_32_value
2479                   old_register_33_value
2480                   (Some ? b)
2481                   old_register_35_value
2482                   old_register_36_value
2483                   old_register_37_value
2484                   old_register_A_value
2485                   old_register_B_value
2486                   old_register_DPL_value
2487                   old_register_DPH_value.
2488
2489definition update_register_35: 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    mk_RegisterMap old_register_00_value
2529                   old_register_01_value
2530                   old_register_02_value
2531                   old_register_03_value
2532                   old_register_04_value
2533                   old_register_05_value
2534                   old_register_06_value
2535                   old_register_07_value
2536                   old_register_10_value
2537                   old_register_11_value
2538                   old_register_12_value
2539                   old_register_13_value
2540                   old_register_14_value
2541                   old_register_15_value
2542                   old_register_16_value
2543                   old_register_17_value
2544                   old_register_20_value
2545                   old_register_21_value
2546                   old_register_22_value
2547                   old_register_23_value
2548                   old_register_24_value
2549                   old_register_25_value
2550                   old_register_26_value
2551                   old_register_27_value
2552                   old_register_30_value
2553                   old_register_31_value
2554                   old_register_32_value
2555                   old_register_33_value
2556                   old_register_34_value
2557                   (Some ? b)
2558                   old_register_36_value
2559                   old_register_37_value
2560                   old_register_A_value
2561                   old_register_B_value
2562                   old_register_DPL_value
2563                   old_register_DPH_value.
2564
2565definition update_register_36: Byte → RegisterMap → RegisterMap ≝
2566  λb: Byte.
2567  λm: RegisterMap.
2568  let old_register_00_value ≝ register_00_value m in
2569  let old_register_01_value ≝ register_01_value m in
2570  let old_register_02_value ≝ register_02_value m in
2571  let old_register_03_value ≝ register_03_value m in
2572  let old_register_04_value ≝ register_04_value m in
2573  let old_register_05_value ≝ register_05_value m in
2574  let old_register_06_value ≝ register_06_value m in
2575  let old_register_07_value ≝ register_07_value m in
2576  let old_register_10_value ≝ register_01_value m in
2577  let old_register_11_value ≝ register_01_value m in
2578  let old_register_12_value ≝ register_02_value m in
2579  let old_register_13_value ≝ register_03_value m in
2580  let old_register_14_value ≝ register_04_value m in
2581  let old_register_15_value ≝ register_05_value m in
2582  let old_register_16_value ≝ register_06_value m in
2583  let old_register_17_value ≝ register_07_value m in
2584  let old_register_20_value ≝ register_01_value m in
2585  let old_register_21_value ≝ register_02_value m in
2586  let old_register_22_value ≝ register_02_value m in
2587  let old_register_23_value ≝ register_03_value m in
2588  let old_register_24_value ≝ register_04_value m in
2589  let old_register_25_value ≝ register_05_value m in
2590  let old_register_26_value ≝ register_06_value m in
2591  let old_register_27_value ≝ register_07_value m in
2592  let old_register_30_value ≝ register_01_value m in
2593  let old_register_31_value ≝ register_02_value m in
2594  let old_register_32_value ≝ register_02_value m in
2595  let old_register_33_value ≝ register_03_value m in
2596  let old_register_34_value ≝ register_04_value m in
2597  let old_register_35_value ≝ register_05_value m in
2598  let old_register_36_value ≝ register_06_value m in
2599  let old_register_37_value ≝ register_07_value m in
2600  let old_register_A_value ≝ register_A_value m in
2601  let old_register_B_value ≝ register_B_value m in
2602  let old_register_DPL_value ≝ register_DPL_value m in
2603  let old_register_DPH_value ≝ register_DPH_value m in
2604    mk_RegisterMap old_register_00_value
2605                   old_register_01_value
2606                   old_register_02_value
2607                   old_register_03_value
2608                   old_register_04_value
2609                   old_register_05_value
2610                   old_register_06_value
2611                   old_register_07_value
2612                   old_register_10_value
2613                   old_register_11_value
2614                   old_register_12_value
2615                   old_register_13_value
2616                   old_register_14_value
2617                   old_register_15_value
2618                   old_register_16_value
2619                   old_register_17_value
2620                   old_register_20_value
2621                   old_register_21_value
2622                   old_register_22_value
2623                   old_register_23_value
2624                   old_register_24_value
2625                   old_register_25_value
2626                   old_register_26_value
2627                   old_register_27_value
2628                   old_register_30_value
2629                   old_register_31_value
2630                   old_register_32_value
2631                   old_register_33_value
2632                   old_register_34_value
2633                   old_register_35_value
2634                   (Some ? b)
2635                   old_register_37_value
2636                   old_register_A_value
2637                   old_register_B_value
2638                   old_register_DPL_value
2639                   old_register_DPH_value.
2640
2641definition update_register_37: Byte → RegisterMap → RegisterMap ≝
2642  λb: Byte.
2643  λm: RegisterMap.
2644  let old_register_00_value ≝ register_00_value m in
2645  let old_register_01_value ≝ register_01_value m in
2646  let old_register_02_value ≝ register_02_value m in
2647  let old_register_03_value ≝ register_03_value m in
2648  let old_register_04_value ≝ register_04_value m in
2649  let old_register_05_value ≝ register_05_value m in
2650  let old_register_06_value ≝ register_06_value m in
2651  let old_register_07_value ≝ register_07_value m in
2652  let old_register_10_value ≝ register_01_value m in
2653  let old_register_11_value ≝ register_01_value m in
2654  let old_register_12_value ≝ register_02_value m in
2655  let old_register_13_value ≝ register_03_value m in
2656  let old_register_14_value ≝ register_04_value m in
2657  let old_register_15_value ≝ register_05_value m in
2658  let old_register_16_value ≝ register_06_value m in
2659  let old_register_17_value ≝ register_07_value m in
2660  let old_register_20_value ≝ register_01_value m in
2661  let old_register_21_value ≝ register_02_value m in
2662  let old_register_22_value ≝ register_02_value m in
2663  let old_register_23_value ≝ register_03_value m in
2664  let old_register_24_value ≝ register_04_value m in
2665  let old_register_25_value ≝ register_05_value m in
2666  let old_register_26_value ≝ register_06_value m in
2667  let old_register_27_value ≝ register_07_value m in
2668  let old_register_30_value ≝ register_01_value m in
2669  let old_register_31_value ≝ register_02_value m in
2670  let old_register_32_value ≝ register_02_value m in
2671  let old_register_33_value ≝ register_03_value m in
2672  let old_register_34_value ≝ register_04_value m in
2673  let old_register_35_value ≝ register_05_value m in
2674  let old_register_36_value ≝ register_06_value m in
2675  let old_register_37_value ≝ register_07_value m in
2676  let old_register_A_value ≝ register_A_value m in
2677  let old_register_B_value ≝ register_B_value m in
2678  let old_register_DPL_value ≝ register_DPL_value m in
2679  let old_register_DPH_value ≝ register_DPH_value m in
2680    mk_RegisterMap old_register_00_value
2681                   old_register_01_value
2682                   old_register_02_value
2683                   old_register_03_value
2684                   old_register_04_value
2685                   old_register_05_value
2686                   old_register_06_value
2687                   old_register_07_value
2688                   old_register_10_value
2689                   old_register_11_value
2690                   old_register_12_value
2691                   old_register_13_value
2692                   old_register_14_value
2693                   old_register_15_value
2694                   old_register_16_value
2695                   old_register_17_value
2696                   old_register_20_value
2697                   old_register_21_value
2698                   old_register_22_value
2699                   old_register_23_value
2700                   old_register_24_value
2701                   old_register_25_value
2702                   old_register_26_value
2703                   old_register_27_value
2704                   old_register_30_value
2705                   old_register_31_value
2706                   old_register_32_value
2707                   old_register_33_value
2708                   old_register_34_value
2709                   old_register_35_value
2710                   old_register_36_value
2711                   (Some ? b)
2712                   old_register_A_value
2713                   old_register_B_value
2714                   old_register_DPL_value
2715                   old_register_DPH_value.
2716
2717definition update_register_A: Byte → RegisterMap → RegisterMap ≝
2718  λb: Byte.
2719  λm: RegisterMap.
2720  let old_register_00_value ≝ register_00_value m in
2721  let old_register_01_value ≝ register_01_value m in
2722  let old_register_02_value ≝ register_02_value m in
2723  let old_register_03_value ≝ register_03_value m in
2724  let old_register_04_value ≝ register_04_value m in
2725  let old_register_05_value ≝ register_05_value m in
2726  let old_register_06_value ≝ register_06_value m in
2727  let old_register_07_value ≝ register_07_value m in
2728  let old_register_10_value ≝ register_01_value m in
2729  let old_register_11_value ≝ register_01_value m in
2730  let old_register_12_value ≝ register_02_value m in
2731  let old_register_13_value ≝ register_03_value m in
2732  let old_register_14_value ≝ register_04_value m in
2733  let old_register_15_value ≝ register_05_value m in
2734  let old_register_16_value ≝ register_06_value m in
2735  let old_register_17_value ≝ register_07_value m in
2736  let old_register_20_value ≝ register_01_value m in
2737  let old_register_21_value ≝ register_02_value m in
2738  let old_register_22_value ≝ register_02_value m in
2739  let old_register_23_value ≝ register_03_value m in
2740  let old_register_24_value ≝ register_04_value m in
2741  let old_register_25_value ≝ register_05_value m in
2742  let old_register_26_value ≝ register_06_value m in
2743  let old_register_27_value ≝ register_07_value m in
2744  let old_register_30_value ≝ register_01_value m in
2745  let old_register_31_value ≝ register_02_value m in
2746  let old_register_32_value ≝ register_02_value m in
2747  let old_register_33_value ≝ register_03_value m in
2748  let old_register_34_value ≝ register_04_value m in
2749  let old_register_35_value ≝ register_05_value m in
2750  let old_register_36_value ≝ register_06_value m in
2751  let old_register_37_value ≝ register_07_value m in
2752  let old_register_A_value ≝ register_A_value m in
2753  let old_register_B_value ≝ register_B_value m in
2754  let old_register_DPL_value ≝ register_DPL_value m in
2755  let old_register_DPH_value ≝ register_DPH_value m in
2756    mk_RegisterMap old_register_00_value
2757                   old_register_01_value
2758                   old_register_02_value
2759                   old_register_03_value
2760                   old_register_04_value
2761                   old_register_05_value
2762                   old_register_06_value
2763                   old_register_07_value
2764                   old_register_10_value
2765                   old_register_11_value
2766                   old_register_12_value
2767                   old_register_13_value
2768                   old_register_14_value
2769                   old_register_15_value
2770                   old_register_16_value
2771                   old_register_17_value
2772                   old_register_20_value
2773                   old_register_21_value
2774                   old_register_22_value
2775                   old_register_23_value
2776                   old_register_24_value
2777                   old_register_25_value
2778                   old_register_26_value
2779                   old_register_27_value
2780                   old_register_30_value
2781                   old_register_31_value
2782                   old_register_32_value
2783                   old_register_33_value
2784                   old_register_34_value
2785                   old_register_35_value
2786                   old_register_36_value
2787                   old_register_37_value
2788                   (Some ? b)
2789                   old_register_B_value
2790                   old_register_DPL_value
2791                   old_register_DPH_value.
2792
2793definition update_register_B: Byte → RegisterMap → RegisterMap ≝
2794  λb: Byte.
2795  λm: RegisterMap.
2796  let old_register_00_value ≝ register_00_value m in
2797  let old_register_01_value ≝ register_01_value m in
2798  let old_register_02_value ≝ register_02_value m in
2799  let old_register_03_value ≝ register_03_value m in
2800  let old_register_04_value ≝ register_04_value m in
2801  let old_register_05_value ≝ register_05_value m in
2802  let old_register_06_value ≝ register_06_value m in
2803  let old_register_07_value ≝ register_07_value m in
2804  let old_register_10_value ≝ register_01_value m in
2805  let old_register_11_value ≝ register_01_value m in
2806  let old_register_12_value ≝ register_02_value m in
2807  let old_register_13_value ≝ register_03_value m in
2808  let old_register_14_value ≝ register_04_value m in
2809  let old_register_15_value ≝ register_05_value m in
2810  let old_register_16_value ≝ register_06_value m in
2811  let old_register_17_value ≝ register_07_value m in
2812  let old_register_20_value ≝ register_01_value m in
2813  let old_register_21_value ≝ register_02_value m in
2814  let old_register_22_value ≝ register_02_value m in
2815  let old_register_23_value ≝ register_03_value m in
2816  let old_register_24_value ≝ register_04_value m in
2817  let old_register_25_value ≝ register_05_value m in
2818  let old_register_26_value ≝ register_06_value m in
2819  let old_register_27_value ≝ register_07_value m in
2820  let old_register_30_value ≝ register_01_value m in
2821  let old_register_31_value ≝ register_02_value m in
2822  let old_register_32_value ≝ register_02_value m in
2823  let old_register_33_value ≝ register_03_value m in
2824  let old_register_34_value ≝ register_04_value m in
2825  let old_register_35_value ≝ register_05_value m in
2826  let old_register_36_value ≝ register_06_value m in
2827  let old_register_37_value ≝ register_07_value m in
2828  let old_register_A_value ≝ register_A_value m in
2829  let old_register_B_value ≝ register_B_value m in
2830  let old_register_DPL_value ≝ register_DPL_value m in
2831  let old_register_DPH_value ≝ register_DPH_value m in
2832    mk_RegisterMap old_register_00_value
2833                   old_register_01_value
2834                   old_register_02_value
2835                   old_register_03_value
2836                   old_register_04_value
2837                   old_register_05_value
2838                   old_register_06_value
2839                   old_register_07_value
2840                   old_register_10_value
2841                   old_register_11_value
2842                   old_register_12_value
2843                   old_register_13_value
2844                   old_register_14_value
2845                   old_register_15_value
2846                   old_register_16_value
2847                   old_register_17_value
2848                   old_register_20_value
2849                   old_register_21_value
2850                   old_register_22_value
2851                   old_register_23_value
2852                   old_register_24_value
2853                   old_register_25_value
2854                   old_register_26_value
2855                   old_register_27_value
2856                   old_register_30_value
2857                   old_register_31_value
2858                   old_register_32_value
2859                   old_register_33_value
2860                   old_register_34_value
2861                   old_register_35_value
2862                   old_register_36_value
2863                   old_register_37_value
2864                   old_register_A_value
2865                   (Some ? b)
2866                   old_register_DPL_value
2867                   old_register_DPH_value.
2868
2869definition update_register_DPL: Byte → RegisterMap → RegisterMap ≝
2870  λb: Byte.
2871  λm: RegisterMap.
2872  let old_register_00_value ≝ register_00_value m in
2873  let old_register_01_value ≝ register_01_value m in
2874  let old_register_02_value ≝ register_02_value m in
2875  let old_register_03_value ≝ register_03_value m in
2876  let old_register_04_value ≝ register_04_value m in
2877  let old_register_05_value ≝ register_05_value m in
2878  let old_register_06_value ≝ register_06_value m in
2879  let old_register_07_value ≝ register_07_value m in
2880  let old_register_10_value ≝ register_01_value m in
2881  let old_register_11_value ≝ register_01_value m in
2882  let old_register_12_value ≝ register_02_value m in
2883  let old_register_13_value ≝ register_03_value m in
2884  let old_register_14_value ≝ register_04_value m in
2885  let old_register_15_value ≝ register_05_value m in
2886  let old_register_16_value ≝ register_06_value m in
2887  let old_register_17_value ≝ register_07_value m in
2888  let old_register_20_value ≝ register_01_value m in
2889  let old_register_21_value ≝ register_02_value m in
2890  let old_register_22_value ≝ register_02_value m in
2891  let old_register_23_value ≝ register_03_value m in
2892  let old_register_24_value ≝ register_04_value m in
2893  let old_register_25_value ≝ register_05_value m in
2894  let old_register_26_value ≝ register_06_value m in
2895  let old_register_27_value ≝ register_07_value m in
2896  let old_register_30_value ≝ register_01_value m in
2897  let old_register_31_value ≝ register_02_value m in
2898  let old_register_32_value ≝ register_02_value m in
2899  let old_register_33_value ≝ register_03_value m in
2900  let old_register_34_value ≝ register_04_value m in
2901  let old_register_35_value ≝ register_05_value m in
2902  let old_register_36_value ≝ register_06_value m in
2903  let old_register_37_value ≝ register_07_value m in
2904  let old_register_A_value ≝ register_A_value m in
2905  let old_register_B_value ≝ register_B_value m in
2906  let old_register_DPL_value ≝ register_DPL_value m in
2907  let old_register_DPH_value ≝ register_DPH_value m in
2908    mk_RegisterMap old_register_00_value
2909                   old_register_01_value
2910                   old_register_02_value
2911                   old_register_03_value
2912                   old_register_04_value
2913                   old_register_05_value
2914                   old_register_06_value
2915                   old_register_07_value
2916                   old_register_10_value
2917                   old_register_11_value
2918                   old_register_12_value
2919                   old_register_13_value
2920                   old_register_14_value
2921                   old_register_15_value
2922                   old_register_16_value
2923                   old_register_17_value
2924                   old_register_20_value
2925                   old_register_21_value
2926                   old_register_22_value
2927                   old_register_23_value
2928                   old_register_24_value
2929                   old_register_25_value
2930                   old_register_26_value
2931                   old_register_27_value
2932                   old_register_30_value
2933                   old_register_31_value
2934                   old_register_32_value
2935                   old_register_33_value
2936                   old_register_34_value
2937                   old_register_35_value
2938                   old_register_36_value
2939                   old_register_37_value
2940                   old_register_A_value
2941                   old_register_B_value
2942                   (Some ? b)
2943                   old_register_DPH_value.
2944
2945definition update_register_DPH: Byte → RegisterMap → RegisterMap ≝
2946  λb: Byte.
2947  λm: RegisterMap.
2948  let old_register_00_value ≝ register_00_value m in
2949  let old_register_01_value ≝ register_01_value m in
2950  let old_register_02_value ≝ register_02_value m in
2951  let old_register_03_value ≝ register_03_value m in
2952  let old_register_04_value ≝ register_04_value m in
2953  let old_register_05_value ≝ register_05_value m in
2954  let old_register_06_value ≝ register_06_value m in
2955  let old_register_07_value ≝ register_07_value m in
2956  let old_register_10_value ≝ register_01_value m in
2957  let old_register_11_value ≝ register_01_value m in
2958  let old_register_12_value ≝ register_02_value m in
2959  let old_register_13_value ≝ register_03_value m in
2960  let old_register_14_value ≝ register_04_value m in
2961  let old_register_15_value ≝ register_05_value m in
2962  let old_register_16_value ≝ register_06_value m in
2963  let old_register_17_value ≝ register_07_value m in
2964  let old_register_20_value ≝ register_01_value m in
2965  let old_register_21_value ≝ register_02_value m in
2966  let old_register_22_value ≝ register_02_value m in
2967  let old_register_23_value ≝ register_03_value m in
2968  let old_register_24_value ≝ register_04_value m in
2969  let old_register_25_value ≝ register_05_value m in
2970  let old_register_26_value ≝ register_06_value m in
2971  let old_register_27_value ≝ register_07_value m in
2972  let old_register_30_value ≝ register_01_value m in
2973  let old_register_31_value ≝ register_02_value m in
2974  let old_register_32_value ≝ register_02_value m in
2975  let old_register_33_value ≝ register_03_value m in
2976  let old_register_34_value ≝ register_04_value m in
2977  let old_register_35_value ≝ register_05_value m in
2978  let old_register_36_value ≝ register_06_value m in
2979  let old_register_37_value ≝ register_07_value m in
2980  let old_register_A_value ≝ register_A_value m in
2981  let old_register_B_value ≝ register_B_value m in
2982  let old_register_DPL_value ≝ register_DPL_value m in
2983  let old_register_DPH_value ≝ register_DPH_value m in
2984    mk_RegisterMap old_register_00_value
2985                   old_register_01_value
2986                   old_register_02_value
2987                   old_register_03_value
2988                   old_register_04_value
2989                   old_register_05_value
2990                   old_register_06_value
2991                   old_register_07_value
2992                   old_register_10_value
2993                   old_register_11_value
2994                   old_register_12_value
2995                   old_register_13_value
2996                   old_register_14_value
2997                   old_register_15_value
2998                   old_register_16_value
2999                   old_register_17_value
3000                   old_register_20_value
3001                   old_register_21_value
3002                   old_register_22_value
3003                   old_register_23_value
3004                   old_register_24_value
3005                   old_register_25_value
3006                   old_register_26_value
3007                   old_register_27_value
3008                   old_register_30_value
3009                   old_register_31_value
3010                   old_register_32_value
3011                   old_register_33_value
3012                   old_register_34_value
3013                   old_register_35_value
3014                   old_register_36_value
3015                   old_register_37_value
3016                   old_register_A_value
3017                   old_register_B_value
3018                   old_register_DPL_value
3019                   (Some ? b).
3020
3021definition update_register_map: Register → Byte → RegisterMap → RegisterMap ≝
3022  λr: Register.
3023  λb: Byte.
3024  λm: RegisterMap.
3025  match r with
3026  [ Register00 ⇒ update_register_00 b m
3027  | Register01 ⇒ update_register_01 b m
3028  | Register02 ⇒ update_register_02 b m
3029  | Register03 ⇒ update_register_03 b m
3030  | Register04 ⇒ update_register_04 b m
3031  | Register05 ⇒ update_register_05 b m
3032  | Register06 ⇒ update_register_06 b m
3033  | Register07 ⇒ update_register_07 b m
3034  | Register10 ⇒ update_register_10 b m
3035  | Register11 ⇒ update_register_11 b m
3036  | Register12 ⇒ update_register_12 b m
3037  | Register13 ⇒ update_register_13 b m
3038  | Register14 ⇒ update_register_14 b m
3039  | Register15 ⇒ update_register_15 b m
3040  | Register16 ⇒ update_register_16 b m
3041  | Register17 ⇒ update_register_17 b m
3042  | Register20 ⇒ update_register_20 b m
3043  | Register21 ⇒ update_register_21 b m
3044  | Register22 ⇒ update_register_22 b m
3045  | Register23 ⇒ update_register_23 b m
3046  | Register24 ⇒ update_register_24 b m
3047  | Register25 ⇒ update_register_25 b m
3048  | Register26 ⇒ update_register_26 b m
3049  | Register27 ⇒ update_register_27 b m
3050  | Register30 ⇒ update_register_30 b m
3051  | Register31 ⇒ update_register_31 b m
3052  | Register32 ⇒ update_register_32 b m
3053  | Register33 ⇒ update_register_33 b m
3054  | Register34 ⇒ update_register_34 b m
3055  | Register35 ⇒ update_register_35 b m
3056  | Register36 ⇒ update_register_36 b m
3057  | Register37 ⇒ update_register_37 b m
3058  | RegisterA ⇒ update_register_A b m
3059  | RegisterB ⇒ update_register_B b m
3060  | RegisterDPL ⇒ update_register_DPL b m
3061  | RegisterDPH ⇒ update_register_DPH b m
3062  ].
3063 
3064record Eval: Type[0] ≝
3065{
3066  opaccs: OpAccs → Byte → Byte → option Byte;
3067  op1: Op1 → Byte → Byte;
3068  op2: Bit → Op2 → Byte → Byte → (Byte × Bit)
3069}.
3070
3071axiom opaccs_implementation: OpAccs → Byte → Byte → option Byte.
3072axiom op1_implementation: Op1 → Byte → Byte.
3073axiom op2_implementation: Bit → Op2 → Byte → Byte → (Byte × Bit).
3074
3075definition eval: Eval ≝
3076  mk_Eval opaccs_implementation
3077          op1_implementation
3078          op2_implementation.
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