1 | open Preamble |
---|
2 | |
---|
3 | open Hints_declaration |
---|
4 | |
---|
5 | open Core_notation |
---|
6 | |
---|
7 | open Pts |
---|
8 | |
---|
9 | open Logic |
---|
10 | |
---|
11 | open Types |
---|
12 | |
---|
13 | open Relations |
---|
14 | |
---|
15 | open Setoids |
---|
16 | |
---|
17 | type ('a, 'b) pred_transformer = __ |
---|
18 | |
---|
19 | type ('a, 'b, 'c, 'd) rel_transformer = __ |
---|
20 | |
---|
21 | type monad = { m_return : (__ -> __ -> __); |
---|
22 | m_bind : (__ -> __ -> __ -> (__ -> __) -> __) } |
---|
23 | |
---|
24 | val monad_rect_Type4 : |
---|
25 | (__ -> (__ -> __ -> __) -> (__ -> __ -> __ -> (__ -> __) -> __) -> 'a1) -> |
---|
26 | monad -> 'a1 |
---|
27 | |
---|
28 | val monad_rect_Type5 : |
---|
29 | (__ -> (__ -> __ -> __) -> (__ -> __ -> __ -> (__ -> __) -> __) -> 'a1) -> |
---|
30 | monad -> 'a1 |
---|
31 | |
---|
32 | val monad_rect_Type3 : |
---|
33 | (__ -> (__ -> __ -> __) -> (__ -> __ -> __ -> (__ -> __) -> __) -> 'a1) -> |
---|
34 | monad -> 'a1 |
---|
35 | |
---|
36 | val monad_rect_Type2 : |
---|
37 | (__ -> (__ -> __ -> __) -> (__ -> __ -> __ -> (__ -> __) -> __) -> 'a1) -> |
---|
38 | monad -> 'a1 |
---|
39 | |
---|
40 | val monad_rect_Type1 : |
---|
41 | (__ -> (__ -> __ -> __) -> (__ -> __ -> __ -> (__ -> __) -> __) -> 'a1) -> |
---|
42 | monad -> 'a1 |
---|
43 | |
---|
44 | val monad_rect_Type0 : |
---|
45 | (__ -> (__ -> __ -> __) -> (__ -> __ -> __ -> (__ -> __) -> __) -> 'a1) -> |
---|
46 | monad -> 'a1 |
---|
47 | |
---|
48 | type 'x_772 monad0 |
---|
49 | |
---|
50 | val m_return0 : monad -> 'a1 -> __ |
---|
51 | |
---|
52 | val m_bind0 : monad -> __ -> ('a1 -> __) -> __ |
---|
53 | |
---|
54 | val monad_inv_rect_Type4 : |
---|
55 | monad -> (__ -> (__ -> __ -> __) -> (__ -> __ -> __ -> (__ -> __) -> __) -> |
---|
56 | __ -> 'a1) -> 'a1 |
---|
57 | |
---|
58 | val monad_inv_rect_Type3 : |
---|
59 | monad -> (__ -> (__ -> __ -> __) -> (__ -> __ -> __ -> (__ -> __) -> __) -> |
---|
60 | __ -> 'a1) -> 'a1 |
---|
61 | |
---|
62 | val monad_inv_rect_Type2 : |
---|
63 | monad -> (__ -> (__ -> __ -> __) -> (__ -> __ -> __ -> (__ -> __) -> __) -> |
---|
64 | __ -> 'a1) -> 'a1 |
---|
65 | |
---|
66 | val monad_inv_rect_Type1 : |
---|
67 | monad -> (__ -> (__ -> __ -> __) -> (__ -> __ -> __ -> (__ -> __) -> __) -> |
---|
68 | __ -> 'a1) -> 'a1 |
---|
69 | |
---|
70 | val monad_inv_rect_Type0 : |
---|
71 | monad -> (__ -> (__ -> __ -> __) -> (__ -> __ -> __ -> (__ -> __) -> __) -> |
---|
72 | __ -> 'a1) -> 'a1 |
---|
73 | |
---|
74 | type monadProps = |
---|
75 | monad |
---|
76 | (* singleton inductive, whose constructor was mk_MonadProps *) |
---|
77 | |
---|
78 | val monadProps_rect_Type4 : |
---|
79 | (monad -> __ -> __ -> __ -> __ -> 'a1) -> monadProps -> 'a1 |
---|
80 | |
---|
81 | val monadProps_rect_Type5 : |
---|
82 | (monad -> __ -> __ -> __ -> __ -> 'a1) -> monadProps -> 'a1 |
---|
83 | |
---|
84 | val monadProps_rect_Type3 : |
---|
85 | (monad -> __ -> __ -> __ -> __ -> 'a1) -> monadProps -> 'a1 |
---|
86 | |
---|
87 | val monadProps_rect_Type2 : |
---|
88 | (monad -> __ -> __ -> __ -> __ -> 'a1) -> monadProps -> 'a1 |
---|
89 | |
---|
90 | val monadProps_rect_Type1 : |
---|
91 | (monad -> __ -> __ -> __ -> __ -> 'a1) -> monadProps -> 'a1 |
---|
92 | |
---|
93 | val monadProps_rect_Type0 : |
---|
94 | (monad -> __ -> __ -> __ -> __ -> 'a1) -> monadProps -> 'a1 |
---|
95 | |
---|
96 | val max_def : monadProps -> monad |
---|
97 | |
---|
98 | val monadProps_inv_rect_Type4 : |
---|
99 | monadProps -> (monad -> __ -> __ -> __ -> __ -> __ -> 'a1) -> 'a1 |
---|
100 | |
---|
101 | val monadProps_inv_rect_Type3 : |
---|
102 | monadProps -> (monad -> __ -> __ -> __ -> __ -> __ -> 'a1) -> 'a1 |
---|
103 | |
---|
104 | val monadProps_inv_rect_Type2 : |
---|
105 | monadProps -> (monad -> __ -> __ -> __ -> __ -> __ -> 'a1) -> 'a1 |
---|
106 | |
---|
107 | val monadProps_inv_rect_Type1 : |
---|
108 | monadProps -> (monad -> __ -> __ -> __ -> __ -> __ -> 'a1) -> 'a1 |
---|
109 | |
---|
110 | val monadProps_inv_rect_Type0 : |
---|
111 | monadProps -> (monad -> __ -> __ -> __ -> __ -> __ -> 'a1) -> 'a1 |
---|
112 | |
---|
113 | type 'x_772 max_def__o__monad = __ |
---|
114 | |
---|
115 | type setoidMonadProps = |
---|
116 | monad |
---|
117 | (* singleton inductive, whose constructor was mk_SetoidMonadProps *) |
---|
118 | |
---|
119 | val setoidMonadProps_rect_Type4 : |
---|
120 | (monad -> __ -> __ -> __ -> __ -> __ -> __ -> __ -> __ -> __ -> 'a1) -> |
---|
121 | setoidMonadProps -> 'a1 |
---|
122 | |
---|
123 | val setoidMonadProps_rect_Type5 : |
---|
124 | (monad -> __ -> __ -> __ -> __ -> __ -> __ -> __ -> __ -> __ -> 'a1) -> |
---|
125 | setoidMonadProps -> 'a1 |
---|
126 | |
---|
127 | val setoidMonadProps_rect_Type3 : |
---|
128 | (monad -> __ -> __ -> __ -> __ -> __ -> __ -> __ -> __ -> __ -> 'a1) -> |
---|
129 | setoidMonadProps -> 'a1 |
---|
130 | |
---|
131 | val setoidMonadProps_rect_Type2 : |
---|
132 | (monad -> __ -> __ -> __ -> __ -> __ -> __ -> __ -> __ -> __ -> 'a1) -> |
---|
133 | setoidMonadProps -> 'a1 |
---|
134 | |
---|
135 | val setoidMonadProps_rect_Type1 : |
---|
136 | (monad -> __ -> __ -> __ -> __ -> __ -> __ -> __ -> __ -> __ -> 'a1) -> |
---|
137 | setoidMonadProps -> 'a1 |
---|
138 | |
---|
139 | val setoidMonadProps_rect_Type0 : |
---|
140 | (monad -> __ -> __ -> __ -> __ -> __ -> __ -> __ -> __ -> __ -> 'a1) -> |
---|
141 | setoidMonadProps -> 'a1 |
---|
142 | |
---|
143 | val smax_def : setoidMonadProps -> monad |
---|
144 | |
---|
145 | val setoidMonadProps_inv_rect_Type4 : |
---|
146 | setoidMonadProps -> (monad -> __ -> __ -> __ -> __ -> __ -> __ -> __ -> __ |
---|
147 | -> __ -> __ -> 'a1) -> 'a1 |
---|
148 | |
---|
149 | val setoidMonadProps_inv_rect_Type3 : |
---|
150 | setoidMonadProps -> (monad -> __ -> __ -> __ -> __ -> __ -> __ -> __ -> __ |
---|
151 | -> __ -> __ -> 'a1) -> 'a1 |
---|
152 | |
---|
153 | val setoidMonadProps_inv_rect_Type2 : |
---|
154 | setoidMonadProps -> (monad -> __ -> __ -> __ -> __ -> __ -> __ -> __ -> __ |
---|
155 | -> __ -> __ -> 'a1) -> 'a1 |
---|
156 | |
---|
157 | val setoidMonadProps_inv_rect_Type1 : |
---|
158 | setoidMonadProps -> (monad -> __ -> __ -> __ -> __ -> __ -> __ -> __ -> __ |
---|
159 | -> __ -> __ -> 'a1) -> 'a1 |
---|
160 | |
---|
161 | val setoidMonadProps_inv_rect_Type0 : |
---|
162 | setoidMonadProps -> (monad -> __ -> __ -> __ -> __ -> __ -> __ -> __ -> __ |
---|
163 | -> __ -> __ -> 'a1) -> 'a1 |
---|
164 | |
---|
165 | type 'x_772 smax_def__o__monad = __ |
---|
166 | |
---|
167 | val setoid_of_monad : setoidMonadProps -> Setoids.setoid |
---|
168 | |
---|
169 | open Bool |
---|
170 | |
---|
171 | open Nat |
---|
172 | |
---|
173 | open List |
---|
174 | |
---|
175 | val m_map : monad -> ('a1 -> 'a2) -> __ -> __ |
---|
176 | |
---|
177 | val m_map2 : monad -> ('a1 -> 'a2 -> 'a3) -> __ -> __ -> __ |
---|
178 | |
---|
179 | val m_bind2 : monad -> __ -> ('a1 -> 'a2 -> __) -> __ |
---|
180 | |
---|
181 | val m_bind3 : monad -> __ -> ('a1 -> 'a2 -> 'a3 -> __) -> __ |
---|
182 | |
---|
183 | val m_join : monad -> __ -> __ |
---|
184 | |
---|
185 | val m_sigbind2 : monad -> __ -> ('a1 -> 'a2 -> __ -> __) -> __ |
---|
186 | |
---|
187 | val m_list_map : monad -> ('a1 -> __) -> 'a1 List.list -> __ |
---|
188 | |
---|
189 | val m_list_map_sigma : monad -> ('a1 -> __) -> 'a1 List.list -> __ |
---|
190 | |
---|
191 | val m_bin_op : monad -> ('a1 -> 'a2 -> 'a3) -> __ -> __ -> __ |
---|
192 | |
---|
193 | val m_fold : monad -> ('a1 -> 'a2 -> __) -> 'a1 List.list -> 'a2 -> __ |
---|
194 | |
---|
195 | val makeMonadProps : |
---|
196 | (__ -> __ -> 'a1) -> (__ -> __ -> 'a1 -> (__ -> 'a1) -> 'a1) -> monadProps |
---|
197 | |
---|
198 | val makeSetoidMonadProps : |
---|
199 | (__ -> __ -> 'a1) -> (__ -> __ -> 'a1 -> (__ -> 'a1) -> 'a1) -> |
---|
200 | setoidMonadProps |
---|
201 | |
---|
202 | open Jmeq |
---|
203 | |
---|
204 | open Russell |
---|
205 | |
---|
206 | type monadPred = |
---|
207 | | Mk_MonadPred |
---|
208 | |
---|
209 | val monadPred_rect_Type4 : |
---|
210 | monad -> (__ -> __ -> __ -> __ -> 'a1) -> monadPred -> 'a1 |
---|
211 | |
---|
212 | val monadPred_rect_Type5 : |
---|
213 | monad -> (__ -> __ -> __ -> __ -> 'a1) -> monadPred -> 'a1 |
---|
214 | |
---|
215 | val monadPred_rect_Type3 : |
---|
216 | monad -> (__ -> __ -> __ -> __ -> 'a1) -> monadPred -> 'a1 |
---|
217 | |
---|
218 | val monadPred_rect_Type2 : |
---|
219 | monad -> (__ -> __ -> __ -> __ -> 'a1) -> monadPred -> 'a1 |
---|
220 | |
---|
221 | val monadPred_rect_Type1 : |
---|
222 | monad -> (__ -> __ -> __ -> __ -> 'a1) -> monadPred -> 'a1 |
---|
223 | |
---|
224 | val monadPred_rect_Type0 : |
---|
225 | monad -> (__ -> __ -> __ -> __ -> 'a1) -> monadPred -> 'a1 |
---|
226 | |
---|
227 | val monadPred_inv_rect_Type4 : |
---|
228 | monad -> monadPred -> (__ -> __ -> __ -> __ -> __ -> 'a1) -> 'a1 |
---|
229 | |
---|
230 | val monadPred_inv_rect_Type3 : |
---|
231 | monad -> monadPred -> (__ -> __ -> __ -> __ -> __ -> 'a1) -> 'a1 |
---|
232 | |
---|
233 | val monadPred_inv_rect_Type2 : |
---|
234 | monad -> monadPred -> (__ -> __ -> __ -> __ -> __ -> 'a1) -> 'a1 |
---|
235 | |
---|
236 | val monadPred_inv_rect_Type1 : |
---|
237 | monad -> monadPred -> (__ -> __ -> __ -> __ -> __ -> 'a1) -> 'a1 |
---|
238 | |
---|
239 | val monadPred_inv_rect_Type0 : |
---|
240 | monad -> monadPred -> (__ -> __ -> __ -> __ -> __ -> 'a1) -> 'a1 |
---|
241 | |
---|
242 | val monadPred_jmdiscr : monad -> monadPred -> monadPred -> __ |
---|
243 | |
---|
244 | type injMonadPred = { im_pred : monadPred; |
---|
245 | mp_inject : (__ -> __ -> __ Types.sig0 -> __) } |
---|
246 | |
---|
247 | val injMonadPred_rect_Type4 : |
---|
248 | monad -> (monadPred -> (__ -> __ -> __ Types.sig0 -> __) -> __ -> 'a1) -> |
---|
249 | injMonadPred -> 'a1 |
---|
250 | |
---|
251 | val injMonadPred_rect_Type5 : |
---|
252 | monad -> (monadPred -> (__ -> __ -> __ Types.sig0 -> __) -> __ -> 'a1) -> |
---|
253 | injMonadPred -> 'a1 |
---|
254 | |
---|
255 | val injMonadPred_rect_Type3 : |
---|
256 | monad -> (monadPred -> (__ -> __ -> __ Types.sig0 -> __) -> __ -> 'a1) -> |
---|
257 | injMonadPred -> 'a1 |
---|
258 | |
---|
259 | val injMonadPred_rect_Type2 : |
---|
260 | monad -> (monadPred -> (__ -> __ -> __ Types.sig0 -> __) -> __ -> 'a1) -> |
---|
261 | injMonadPred -> 'a1 |
---|
262 | |
---|
263 | val injMonadPred_rect_Type1 : |
---|
264 | monad -> (monadPred -> (__ -> __ -> __ Types.sig0 -> __) -> __ -> 'a1) -> |
---|
265 | injMonadPred -> 'a1 |
---|
266 | |
---|
267 | val injMonadPred_rect_Type0 : |
---|
268 | monad -> (monadPred -> (__ -> __ -> __ Types.sig0 -> __) -> __ -> 'a1) -> |
---|
269 | injMonadPred -> 'a1 |
---|
270 | |
---|
271 | val im_pred : monad -> injMonadPred -> monadPred |
---|
272 | |
---|
273 | val mp_inject0 : monad -> injMonadPred -> __ Types.sig0 -> __ |
---|
274 | |
---|
275 | val injMonadPred_inv_rect_Type4 : |
---|
276 | monad -> injMonadPred -> (monadPred -> (__ -> __ -> __ Types.sig0 -> __) -> |
---|
277 | __ -> __ -> 'a1) -> 'a1 |
---|
278 | |
---|
279 | val injMonadPred_inv_rect_Type3 : |
---|
280 | monad -> injMonadPred -> (monadPred -> (__ -> __ -> __ Types.sig0 -> __) -> |
---|
281 | __ -> __ -> 'a1) -> 'a1 |
---|
282 | |
---|
283 | val injMonadPred_inv_rect_Type2 : |
---|
284 | monad -> injMonadPred -> (monadPred -> (__ -> __ -> __ Types.sig0 -> __) -> |
---|
285 | __ -> __ -> 'a1) -> 'a1 |
---|
286 | |
---|
287 | val injMonadPred_inv_rect_Type1 : |
---|
288 | monad -> injMonadPred -> (monadPred -> (__ -> __ -> __ Types.sig0 -> __) -> |
---|
289 | __ -> __ -> 'a1) -> 'a1 |
---|
290 | |
---|
291 | val injMonadPred_inv_rect_Type0 : |
---|
292 | monad -> injMonadPred -> (monadPred -> (__ -> __ -> __ Types.sig0 -> __) -> |
---|
293 | __ -> __ -> 'a1) -> 'a1 |
---|
294 | |
---|
295 | val injMonadPred_jmdiscr : monad -> injMonadPred -> injMonadPred -> __ |
---|
296 | |
---|
297 | type monadRel = |
---|
298 | | Mk_MonadRel |
---|
299 | |
---|
300 | val monadRel_rect_Type4 : |
---|
301 | monad -> monad -> (__ -> __ -> __ -> __ -> 'a1) -> monadRel -> 'a1 |
---|
302 | |
---|
303 | val monadRel_rect_Type5 : |
---|
304 | monad -> monad -> (__ -> __ -> __ -> __ -> 'a1) -> monadRel -> 'a1 |
---|
305 | |
---|
306 | val monadRel_rect_Type3 : |
---|
307 | monad -> monad -> (__ -> __ -> __ -> __ -> 'a1) -> monadRel -> 'a1 |
---|
308 | |
---|
309 | val monadRel_rect_Type2 : |
---|
310 | monad -> monad -> (__ -> __ -> __ -> __ -> 'a1) -> monadRel -> 'a1 |
---|
311 | |
---|
312 | val monadRel_rect_Type1 : |
---|
313 | monad -> monad -> (__ -> __ -> __ -> __ -> 'a1) -> monadRel -> 'a1 |
---|
314 | |
---|
315 | val monadRel_rect_Type0 : |
---|
316 | monad -> monad -> (__ -> __ -> __ -> __ -> 'a1) -> monadRel -> 'a1 |
---|
317 | |
---|
318 | val monadRel_inv_rect_Type4 : |
---|
319 | monad -> monad -> monadRel -> (__ -> __ -> __ -> __ -> __ -> 'a1) -> 'a1 |
---|
320 | |
---|
321 | val monadRel_inv_rect_Type3 : |
---|
322 | monad -> monad -> monadRel -> (__ -> __ -> __ -> __ -> __ -> 'a1) -> 'a1 |
---|
323 | |
---|
324 | val monadRel_inv_rect_Type2 : |
---|
325 | monad -> monad -> monadRel -> (__ -> __ -> __ -> __ -> __ -> 'a1) -> 'a1 |
---|
326 | |
---|
327 | val monadRel_inv_rect_Type1 : |
---|
328 | monad -> monad -> monadRel -> (__ -> __ -> __ -> __ -> __ -> 'a1) -> 'a1 |
---|
329 | |
---|
330 | val monadRel_inv_rect_Type0 : |
---|
331 | monad -> monad -> monadRel -> (__ -> __ -> __ -> __ -> __ -> 'a1) -> 'a1 |
---|
332 | |
---|
333 | val monadRel_jmdiscr : monad -> monad -> monadRel -> monadRel -> __ |
---|
334 | |
---|