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102 commits

Author SHA1 Message Date
Jeremy Avigad
c89c96b913 feat(library/standard/list.lean): add facts about lists 2014-08-01 09:11:51 -07:00
Jeremy Avigad
e846c8c76b index on master: 9dc1baa feat(library/standard/congruence.lean): finish congruence classes for propositional logic 2014-08-01 09:11:51 -07:00
Jeremy Avigad
5847743573 feat(library/standard/congruence.lean): finish congruence classes for propositional logic 2014-08-01 09:11:51 -07:00
Jeremy Avigad
8ea5dad4c0 feat(library/standard/congruence.lean): add class to infer that a function is a congruence with respect to two relations 2014-08-01 09:11:51 -07:00
Jeremy Avigad
09d5d074ec feat(library/standard/list.lean): begin to port lists from lean 0.1 2014-08-01 09:11:51 -07:00
Leonardo de Moura
105c29b51e refactor(library/standard): use new coding style, rename bool.b0 and bool.b1 to bool.ff and bool.tt 
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
 2014-07-28 19:59:38 -07:00
Leonardo de Moura
8ad6d7a98b doc(doc/lean): update Lean tutorial to Lean 0.2, and use org-mode 
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
 2014-07-28 10:52:09 -07:00
Leonardo de Moura
864fdd37da refactor(library/aliases): aliases are from name to names 
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
 2014-07-27 21:01:59 -07:00
Leonardo de Moura
5555d620cf feat(library/standard): add or_inl and or_inr as short-hands for the commonly used 'or_intro_left _' and 'or_intro_right _' 
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
 2014-07-27 17:25:57 -07:00
Leonardo de Moura
99a1966fd6 refactor(library/standard/set): use the same style for mem_inter and mem_union 
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
 2014-07-27 13:32:59 -07:00
Leonardo de Moura
88130f339e feat(library/standard): add basic set theory that does not rely on classical axioms 
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
 2014-07-27 13:18:33 -07:00
Leonardo de Moura
3a77226b92 feat(library/standard/bool): add bor_to_or theorem 
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
 2014-07-27 13:17:55 -07:00
Leonardo de Moura
25f7929ea3 feat(library/standard/bool): add band_assoc and bor_assoc theorems 
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
 2014-07-27 12:50:57 -07:00
Leonardo de Moura
abe1dbd7e0 refactor(library/standard): cleanup notation 
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
 2014-07-25 11:36:28 -07:00
Leonardo de Moura
a450ad5a95 feat(frontends/lean/inductive_cmd): improve notation for declaring 'empty' inductive datatypes 
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
 2014-07-25 11:24:01 -07:00
Leonardo de Moura
a5b9a7b296 fix(frontends/lean/decl_cmds): support for section declarations with implicit parameters, they must be tagged with '@' when creating aliases 
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
 2014-07-25 11:10:45 -07:00
Leonardo de Moura
62483b793f feat(library/standard): add notation for symm, trans and subst 
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
 2014-07-24 22:49:12 -07:00
Leonardo de Moura
ebf34f2fe9 refactor(library/standard): mark 'not' as transparent 
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
 2014-07-24 22:14:15 -07:00
Leonardo de Moura
d84a4bea5f chore(library/standard): port (an older version of) Floris's nat library to Lean 0.2 
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
 2014-07-24 20:31:28 -07:00
Leonardo de Moura
fd0deb4555 feat(library/standard): add basic properties of binary functions 
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
 2014-07-24 17:48:30 -07:00
Leonardo de Moura
bfdf187ce7 refactor(library/standard): rename rec to rec_on 
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
 2014-07-24 17:01:51 -07:00
Leonardo de Moura
5529ef1056 feat(library/standard): add function 'helper' module 
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
 2014-07-24 16:29:39 -07:00
Leonardo de Moura
5296275c41 feat(library/standard/logic): add imp_or theorems 
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
 2014-07-24 12:29:23 -07:00
Leonardo de Moura
08174f904b feat(library/standard/logic): mark 'not equal' as an abbreviation 
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
 2014-07-24 12:01:09 -07:00
Leonardo de Moura
8adf6e25ef refactor(library/standard/unit): make unit type similar to the one in the hott library 
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
 2014-07-22 09:56:05 -07:00
Leonardo de Moura
c5cbe1cc2c refactor(library/standard): rename bool_decidable to prop_decidable 
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
 2014-07-22 09:53:05 -07:00
Leonardo de Moura
b522ea6f2d refactor(library/standard): rename bit to bool 
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
 2014-07-22 09:49:54 -07:00
Leonardo de Moura
5eaf04518b refactor(*): rename Bool to Prop 
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
 2014-07-22 09:43:18 -07:00
Leonardo de Moura
b7838f5db7 feat(library/standard/cast): add dcongr2 theorem 
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
 2014-07-22 05:58:58 -07:00
Leonardo de Moura
1e595e8027 feat(library/standard/decidable): decidable is proof irrelevant 
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
 2014-07-22 03:54:28 -07:00
Leonardo de Moura
c0f862d88a feat(library/standard): add Diaconescu's theorem 
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
 2014-07-20 21:15:48 -07:00
Leonardo de Moura
13804f75f9 feat(library/standard/logic): iff is refl, trans, and symm 
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
 2014-07-20 21:10:30 -07:00
Leonardo de Moura
29b6d1081c feat(library/standard/bool_decidable): cleanup bool_decidable, and remove the artificial dependency to bit 
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
 2014-07-21 02:42:11 +01:00
Leonardo de Moura
293ed333c7 feat(library/standard/if): cleanup 'if-then-else' theorems 
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
 2014-07-21 02:40:43 +01:00
Leonardo de Moura
5e8c128b00 feat(library/standard): add more decidable instances 
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
 2014-07-20 01:10:49 +01:00
Leonardo de Moura
c37b5afe93 feat(library/standard): add decidable class 
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
 2014-07-20 00:19:32 +01:00
Leonardo de Moura
4a0e701f6d feat(library/standard/bit): add theorems and notation 
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
 2014-07-20 00:19:32 +01:00
Leonardo de Moura
8b70ffb0a4 feat(library/standard): add equivalence inductive predicate 
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
 2014-07-20 00:19:31 +01:00
Leonardo de Moura
e817260c6d feat(library/standard): add or_comm, and_comm, ... theorems, cleanup notation 
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
 2014-07-19 09:29:04 +01:00
Leonardo de Moura
f942c6f64c feat(library/standard/classical): add Peirce's law 
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
 2014-07-13 03:05:34 +01:00
Leonardo de Moura
e3f364e1ee feat(library/standard): add well-founded induction theorem 
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
 2014-07-13 02:48:40 +01:00
Leonardo de Moura
638bdd5e12 feat(library/standard): add forall and exists theorems 
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
 2014-07-13 02:48:00 +01:00
Leonardo de Moura
9cb238534d feat(library/standard): add hilbert's choice operator 
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
 2014-07-13 01:39:35 +01:00
Leonardo de Moura
ea2fffc260 feat(library/standard): add inhabited_exists theorem 
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
 2014-07-13 00:24:58 +01:00
Leonardo de Moura
0bd943574e fix(library/standard): make sure file can be compiled when processing theorems in parallel 
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
 2014-07-12 23:55:50 +01:00
Leonardo de Moura
ae2f019c23 refactor(library/standard): reorganize cast and piext theorems 
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
 2014-07-12 20:24:36 +01:00
Leonardo de Moura
bd82f5e81c chore(library/standard/piext): cleanup hcongr proof 
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
 2014-07-12 19:08:53 +01:00
Leonardo de Moura
319b1fb8d1 feat(library/standard): add piext axiom, and theorems that follow from it 
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
 2014-07-12 09:44:46 +01:00
Leonardo de Moura
cd806bfabb refactor(library/standard): move cast and heq to separate file 
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
 2014-07-12 07:08:12 +01:00
Leonardo de Moura
1d273fcfdd chore(frontends/lean): rename 'obtains' to 'obtain' 
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
 2014-07-12 06:35:24 +01:00