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943 commits

Author SHA1 Message Date
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
ae2ce356b4 feat(library/hott): use new 'parameters' command 
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
 2014-07-17 20:49:53 +01:00
Leonardo de Moura
58da037410 feat(library/hott): add more definitions and theorems from the HoTT book 
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
 2014-07-17 20:24:00 +01:00
Leonardo de Moura
dfe48e6abe feat(library/hott): add more hott definitions 
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
 2014-07-15 22:42:38 +01:00
Leonardo de Moura
f7317a7139 feat(build): compile HoTT library when building 
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
 2014-07-15 21:56:36 +01:00
Leonardo de Moura
359bfe93d5 feat(library/hott): add basic HoTT definitions and theorems 
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
 2014-07-15 21:46:33 +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
Leonardo de Moura
24540056c5 feat(library/standard): add basic heq theorems 
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
 2014-07-12 06:21:00 +01:00
Leonardo de Moura
cf34f75ab5 feat(frontends/lean): add 'obtains' expression 
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
 2014-07-11 04:08:51 +01:00
Leonardo de Moura
a3be63af73 feat(frontends/lean): add tactic_hint command 
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
 2014-07-08 15:08:13 -07:00
Leonardo de Moura
08465f049a feat(frontends/lean): remove [class] annotation and 'class' command, they are redundant, we only need [instance] and 'instance' 
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
 2014-07-07 16:09:30 -07:00
Leonardo de Moura
c16951aba6 fix(library/aliases): aliasing behavior 
The new test '../../tests/lean/run/alias3.lean' demonstrates the issue being fixed.

Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
 2014-07-07 15:40:55 -07:00
Leonardo de Moura
d30f387e72 feat(library/standard): add namespace 'pair' 
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
 2014-07-07 14:48:19 -07:00
Leonardo de Moura
59755289e4 feat(library/unifier): case split on constraints of the form (f ...) =?= (f ...), where f can be unfolded, and there are metavariables in the arguments 
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
 2014-07-05 15:52:40 -07:00
Leonardo de Moura
a52c9f4e2b feat(library/unifier): add option 'unifier.unfold_opaque', remove option 'unifier.use_exceptions' (the user should not be able to change this) 
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
 2014-07-05 09:43:16 -07:00
Leonardo de Moura
efabd2280c feat(library/unifier): allow unifier to unfold opaque definitions of the current module 
It is not clear whether this is a good idea or not. In some cases, it seems to do more harm than good.

Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
 2014-07-05 00:46:03 -07:00
Leonardo de Moura
9e1d425a45 feat(library/standard): add 'classical' module 
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
 2014-07-04 22:50:30 -07:00
Leonardo de Moura
00e1a7db23 feat(frontends/lean/elaborator): add class instance elaboration 
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
 2014-07-04 15:45:50 -07:00
Leonardo de Moura
079672f6f9 feat(frontends/lean): add 'class' and 'instances' infrastructure 
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
 2014-07-04 14:28:09 -07:00
Leonardo de Moura
a97f82be1a fix(library/standard): orelse notation, avoid conflict with inductive datatype declaration 
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
 2014-07-04 10:10:05 -07:00
Leonardo de Moura
e0501104e2 feat(library/tactic): add 'fixpoint' tactic 
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
 2014-07-04 01:30:28 -07:00
Leonardo de Moura
ce282a549a feat(frontends/lean): add 'prefix' notation declaration command 
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
 2014-07-03 21:37:56 -07:00
Leonardo de Moura
6d773a2ba4 fix(library/standard): not notation 
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
 2014-07-03 21:29:15 -07:00
Leonardo de Moura
855ffcba34 feat(library/standard): add pairs 
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
 2014-07-03 20:43:16 -07:00
Leonardo de Moura
9ec4f23522 fix(library/standard): congr1 and congr2 theorem definition, we should allow A and B to inhabit different universes 
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
 2014-07-03 16:25:14 -07:00
Leonardo de Moura
7d27368708 refactor(library/standard): use inductive datatype to define inhabited 
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
 2014-07-03 15:05:19 -07:00
Leonardo de Moura
abbd054b51 feat(library/tactic): add eassumption tactic, and remove redundant 'subgoals' from apply tactic 
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
 2014-07-03 13:04:46 -07:00
Leonardo de Moura
528d51bc57 feat(library/standard): add congr theorem 
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
 2014-07-03 09:44:36 -07:00
Leonardo de Moura
0ff145e59b feat(library/tactic): add apply tactic 
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
 2014-07-03 09:20:01 -07:00
Leonardo de Moura
6b8b5f3dd8 feat(library/tactic): expose more builtin tactics, cleanup expr_to_tactic procedure 
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
 2014-07-03 08:06:28 -07:00
Leonardo de Moura
60c637fb9d feat(library/tactic): add 'exact' tactic 
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
 2014-07-02 18:37:32 -07:00
Leonardo de Moura
37b5b7c4c2 feat(library/tactic): rename 'exact' to 'assumption', 'exact' is a different tactic 
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
 2014-07-02 18:10:42 -07:00
Leonardo de Moura
0f27856e4a feat(library/tactic): new apply tactic 
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
 2014-07-02 13:14:50 -07:00
Leonardo de Moura
6ab46396d8 feat(library/tactic): expose 'trace' tactic 
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
 2014-07-02 10:52:45 -07:00
Leonardo de Moura
e1d909455c refactor(library/tactic): add namespace 'tactic', improve expr_to_tactic failure error message 
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
 2014-07-02 10:45:09 -07:00
Leonardo de Moura
9f9f93645b feat(library/standard): add bit, char, and string types 
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
 2014-07-02 08:36:05 -07:00
Leonardo de Moura
0198dfc7c5 feat(frontends/lean): parse numerals as expressions of type 'num.num' 
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
 2014-07-02 08:09:33 -07:00
Leonardo de Moura
7593ee1468 refactor(library/standard): remove parameter from 'tactic' inductive type 
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
 2014-07-02 08:09:24 -07:00
Leonardo de Moura
b2b76b078f feat(frontends/lean): remove build_tactic_cmds, and use expressions for representing tactics 
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
 2014-07-01 20:43:53 -07:00
Leonardo de Moura
cbac21ec7f feat(library/tactic): add trick for 'embedding' tactics inside Lean expressions 
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
 2014-07-01 19:05:22 -07:00
Leonardo de Moura
5b69f88664 feat(frontends/lean/notation_cmd): make the notation for setting precedence uniform 
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
 2014-07-01 16:55:41 -07:00
Leonardo de Moura
d4b29cd132 feat(library/standard/logic): add exists unique 
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
 2014-06-30 18:22:28 -07:00
Leonardo de Moura
eff59211ce feat(library/standard): add more basic theorems 
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
 2014-06-30 18:01:31 -07:00
Leonardo de Moura
af230e73c6 feat(library/standard): define heq, and configure 'calc' for '=' 
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
 2014-06-30 14:35:57 -07:00
Leonardo de Moura
e3f9b21c30 fix(kernel/inductive): bug in inductive datatype computational rule, we *must* first instantiate universe variables, *and then* the arguments 
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
 2014-06-30 14:15:16 -07:00
Leonardo de Moura
6e6f778ecf fix(kernel/converter): missing case for local constants 
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
 2014-06-30 12:57:25 -07:00
Leonardo de Moura
2ea1e68f25 feat(library/standard): add equal_f theorem 
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
 2014-06-30 12:00:47 -07:00
Leonardo de Moura
c5828dcf6c feat(library/standard): add function extensionality axiom 
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
 2014-06-30 11:53:04 -07:00
Leonardo de Moura
15e4b18d62 chore(library/standard): add copyright to library files 
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
 2014-06-30 11:44:47 -07:00
Leonardo de Moura
3650ffdd4f feat(library/standard): add iff_mp_right and iff_mp_left 
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
 2014-06-30 00:29:42 -07:00
Leonardo de Moura
6b538c5fc8 feat(library/standard): add 'iff' and 'cast' 
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
 2014-06-29 22:56:56 -07:00
Leonardo de Moura
e1d807a077 feat(library/standard): add inhabited, and files option and unit 
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
 2014-06-29 19:30:38 -07:00
Leonardo de Moura
5a7e198583 feat(build): add Makefile for libraries 
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
 2014-06-28 18:41:53 -07:00
Leonardo de Moura
193ce35419 refactor(frontends/lean/inductive_cmd): redesign inductive datatype elaboration, use the new elaborator, and use simpler algorithm to infer the resulting universe 
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
 2014-06-28 15:33:56 -07:00
Leonardo de Moura
0adacb5191 feat(kernel): add infer implicit, and use it to infer implicit arguments of inductive datatype eliminators, and tag whether parameters should be implicit or not in introduction rules in the module inductive_cmd 
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
 2014-06-28 13:57:36 -07:00
Leonardo de Moura
0e015974ca fix(library/unifier): bug in process_flex_rigid, also cleanup the code and break it into different cases 
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
 2014-06-28 11:19:56 -07:00
Leonardo de Moura
47ff300d1a fix(frontends/lean): '@' explicit mark 
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
 2014-06-28 07:30:36 -07:00
Leonardo de Moura
1019cd60ef feat(library/logic): add basic definitions 
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
 2014-06-28 00:29:42 -07:00
Leonardo de Moura
79d32b768d feat(shell): add '--hott' command line option 
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
 2014-06-16 15:50:27 -07:00