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133 commits

Author SHA1 Message Date
Jakob von Raumer
fdafb1c11f fix(library/hott) adapt trunc.lean to missing equiv coercion 2014-11-17 18:39:02 -08:00
Jakob von Raumer
59fbe8b53e chore(library/hott) fix universe issue. note: this should be fixed when contr is not bound to universe level 1 anymore 2014-11-17 18:39:02 -08:00
Jakob von Raumer
992aad9661 feat(library/hott) postcomposition from ua lemma is done up to the last gap 2014-11-17 18:39:02 -08:00
Jakob von Raumer
e740fbe8c4 chore(library/hott) remove hott.axoims.ua from imports of funext_from_ua.lean 2014-11-13 20:43:46 -08:00
Jakob von Raumer
b514a978b2 fix(library/hott) changed pointed.lean to use trunc.lean correctly 2014-11-13 20:43:46 -08:00
Jakob von Raumer
8dfa78e070 feat(library/hott) almost completed portin UnivalenceImpliesFunext.v 2014-11-13 20:43:46 -08:00
Jakob von Raumer
df4a8db23d feat(library/hott) add to trunc.lean: contractible types are equivalent to unit 2014-11-13 20:43:46 -08:00
Jakob von Raumer
3ee703f5d5 feat(library/hott) Ported part of UnivalenceImpliesFunext.v 2014-11-13 20:43:46 -08:00
Jakob von Raumer
2ed7032997 chore(library/hott) cleaned up the proof a bit 2014-11-13 20:43:46 -08:00
Jakob von Raumer
b5d564431a feat(library/hott) port the rest of Funext_Varieties.v 2014-11-13 20:43:46 -08:00
Jakob von Raumer
6296f8e092 feat(library/hott) port a good portion of FunextVarieties.v 2014-11-13 20:43:46 -08:00
Jakob von Raumer
be8c758be1 feat(library/hott) ported Pointed.v 2014-11-13 20:43:45 -08:00
Floris van Doorn
107a9cf8e4 feat(library): port more of truncation library from Coq HoTT 
Everything directly about truncations in the basic truncation library is ported.
Some theorems about other structures still need to be ported.
Also made some minor changes in hott.equiv
 2014-11-08 19:12:54 -08:00
Floris van Doorn
cd33d2e96d refactor(typeof): move typeof to general_notation 2014-11-08 19:12:54 -08:00
Floris van Doorn
74779dd855 feat(hott/trunc): clean up some theorems, prove some basic theorems 2014-11-08 19:12:54 -08:00
Floris van Doorn
08c56188b6 feat(library/hott/trunc): prove that n-types are (n+1)-types. 2014-11-08 19:12:54 -08:00
Jeremy Avigad
05ec76185d fix(library/hott/fibrant): set arguments for type class resolution 2014-11-07 10:23:37 -08:00
Jakob von Raumer
754901cf64 fix(library/hott) make universe index in ua.lean variable 2014-11-06 20:02:10 -05:00
Jakob von Raumer
b8ec1a1649 chore(library/hott) cleanup 2014-11-06 19:41:08 -05:00
Jakob von Raumer
f1cc0c4bd8 chore(library/hott) add note referring to missing substitution lemma 2014-11-06 19:27:27 -05:00
Jakob von Raumer
7dbd7b31f6 Added substitution lemma for equivalence calculations 2014-11-06 19:22:57 -05:00
Jakob von Raumer
fa9cbb1f6a chore(library/hott) adapted univalence axiom to suit notation in book and def in Coq. 2014-11-06 19:22:57 -05:00
Jakob von Raumer
d842be9c52 feat(library/hott) add univalence axiom 2014-11-06 19:22:57 -05:00
Jakob von Raumer
28d1c6c5e4 chore(library/hott) move function extensionality into new axioms folder, adjust file(s) using it 2014-11-06 19:22:57 -05:00
Jakob von Raumer
9ad75108a3 chore(library/hott) clean up file and add class inference 2014-11-06 15:57:30 -08:00
Jakob von Raumer
1f5be44f51 chore(library/hott) clean up Equiv namespace 2014-11-06 15:57:30 -08:00
Jakob von Raumer
8e1949e9aa feat(library/hott) add calc environment for equivalences 2014-11-06 15:57:29 -08:00
Jakob von Raumer
c50db9899d feat(library/hott) add thm: to give a section of a fibration it suffices to provide it for the image of an equivalence 2014-11-06 15:57:29 -08:00
Jakob von Raumer
09b533a965 fix(library/hott) rename IsEquiv.ap to IsEquiv.ap_closed to avoid name clashes 2014-11-05 15:14:14 -08:00
Jakob von Raumer
02abc5c2ad chore(library/hott) fixed the copyright in equiv_precomp.lean 2014-11-05 15:14:14 -08:00
Jakob von Raumer
807224f3c1 chore(library/hott) cleaned up the proof a bit 2014-11-05 15:14:14 -08:00
Jakob von Raumer
2712b9b18f feat(library/hott) add theorem: if f is an equivalence, so is ap f 2014-11-05 15:14:14 -08:00
Jakob von Raumer
588ad210a2 feat(library/hott) add theorem: assuming function extensionality, precomposing and postcomposing of equivalences is an equivalence 2014-11-04 18:47:34 -08:00
Jakob von Raumer
efa33c5b52 chore(library/hott) move theorem about precomposition to its own file 2014-11-04 18:47:34 -08:00
Jakob von Raumer
0ed046ed80 fix(library/hott) fix funext.lean by making funext an instance 2014-11-04 18:47:34 -08:00
Leonardo de Moura
795f664964 fix(library/hott/funext): compilation error 2014-11-04 06:53:21 -08:00
Jakob von Raumer
261f8a014a feat(library/hott) use class inference for IsEquiv 2014-11-04 06:49:42 -08:00
Jakob von Raumer
479eabb416 feat(library/hott) add: if precompositions with f are equivalences, then f is 2014-11-04 06:49:42 -08:00
Leonardo de Moura
591e566472 feat(frontends/lean): try to inject symmetry (if needed) in calc proofs, add calc_symm command for configuring the symmetry theorem for a given operator 
This is part of #268
 2014-10-30 23:24:09 -07:00
Leonardo de Moura
ea739100b3 fix(library/unifier): broken optimization in the unifier 
See new comments and tests for details.
 2014-10-28 16:09:41 -07:00
Jakob von Raumer
b575c972bd feat(library/hott) add the proof that the inverse of an equivalence is an equivalence 
This is done by changing the order of theorems and using the adjointification.
 2014-10-25 14:20:47 -07:00
Jakob von Raumer
e7aa5f65e7 fix(library/hott) close gaps and clean up adjointification proof 2014-10-25 14:16:24 -07:00
Jakob von Raumer
16a0e970f7 feat(library/hott) add adjointification proof up to two gaps 2014-10-25 14:16:24 -07:00
Leonardo de Moura
cdcde661ef feat(library/definitional/induction_on): automatically add 'induction_on' 2014-10-25 13:37:04 -07:00
Leonardo de Moura
a7a06ab0f8 feat(library/definitional/rec_on): automatically generate rec_on function for inductive datatypes 2014-10-25 13:08:59 -07:00
Leonardo de Moura
7c016191d2 chore(library/hott): add Jakob to list of authors 2014-10-22 22:28:21 -07:00
Jakob von Raumer
f182299459 fix(library/hott) fix funext.lean to match equivalence notation 2014-10-22 22:28:21 -07:00
Jakob von Raumer
abd5c574ad fix(library/hott) : convert to new path notations 
Convert definitions and proofs to new notations for inverse and cocatenation. Adapt to now right associative of concatenation.
 2014-10-22 22:28:14 -07:00
Jakob von Raumer
a169f791df feat(library/hott): add adjointification and closure properties for equivalences 
Port features from the Coq Hott library
 2014-10-22 22:22:08 -07:00
Leonardo de Moura
6b89080b1a feat(frontends/lean): do not allow user to define notation using tokens ! and @, closes #248 2014-10-21 16:28:36 -07:00
Leonardo de Moura
dea3357d7c refactor(library/hott/path): use HoTT book notation for path concatenation and inverse 2014-10-21 16:11:55 -07:00
Leonardo de Moura
6c7e23ecaa refactor(library): use 'reserve' notation in the standard library 2014-10-21 15:39:47 -07:00
Leonardo de Moura
45df5cffd8 refactor(library/hott): remove unnecessary generalizations 2014-10-21 09:11:22 -07:00
Leonardo de Moura
744cee8dd8 feat(frontends/lean): force 'classes' to be declared before instances are declared, closes #228 2014-10-07 18:02:15 -07:00
Leonardo de Moura
98e66586e9 feat(frontends/lean/elaborator): elaborator rejects 'Type' if the universe is explicit 2014-10-02 14:29:51 -07:00
Floris van Doorn
5396e422d2 feat(library): add constructions of categories, some changes in eq, sigma and path 
in eq, add theorem for proof irrelevance and congruence for binary functions
in sigma, add some support for triplets
in path, comment out two unneccesary definitions
in category, add Cat, slice, coslice, product and arrow categories, also add fully bundled approach
 2014-09-26 19:45:23 -04:00
Leonardo de Moura
4e2377ddfc refactor(frontends/lean): replace '[protected]' modifier with 'protected definition' and 'protected theorem', '[protected]' is not a hint. 
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
 2014-09-19 15:54:32 -07:00
Leonardo de Moura
baf4c01de8 feat(frontends/lean): definitions are opaque by default 2014-09-19 15:54:32 -07:00
Leonardo de Moura
48dbd13eef feat(frontends/lean): allow transient classes/instances, i.e., 
classes/instances that are not saved in .olean files
 2014-09-19 15:54:32 -07:00
Jeremy Avigad
74cb289d48 refactor(library): rename algebra directory to struc, move categories.lean to algebra 2014-09-16 13:13:01 -07:00
Leonardo de Moura
bd1bc336fb feat(library/coercion): add simple trick for defining coercions to function-class in a convenient way, closes #31 2014-09-09 14:36:36 -07:00
Leonardo de Moura
38a4852e7d feat(library/hott): add 'path' namespace 2014-09-09 14:03:45 -07:00
Leonardo de Moura
364bba2129 feat(frontends/lean/inductive_cmd): prefix introduction rules with the name of the inductive datatype 
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
 2014-09-04 17:26:36 -07:00
Leonardo de Moura
8743394627 refactor(kernel/inductive): replace recursor name, use '.rec' instead of '_rec' 
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
 2014-09-04 15:04:57 -07:00
Leonardo de Moura
e51c4ad2e9 feat(frontends/lean): rename 'using' command to 'open' 
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
 2014-09-03 16:00:38 -07:00
Leonardo de Moura
f891485a26 refactor(library): use '[protected]' modifier 
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
 2014-09-03 15:13:03 -07:00
Jeremy Avigad
1864fc2f6c refactor(library): move more notation to general_notation 2014-08-28 17:37:32 -07:00
Jeremy Avigad
5eedca08ea refactor(library): set up and document standard/classical/hott imports 2014-08-25 22:57:55 -07:00
Jeremy Avigad
413517b86d fix(library): correct markdown directories, revise defaults for logic and data 2014-08-25 22:57:55 -07:00
Leonardo de Moura
dbaf81e16d refactor(library): remove unnecessary 'standard' subdirectory 
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
 2014-08-23 18:08:09 -07:00
Leonardo de Moura
670bfe24f5 chore(build): remove hott library directory, and move hott tests 
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
 2014-08-15 13:30:56 -07:00
Jeremy Avigad
7d7655c3f1 refactor(library/standard): integrate hott with standard library 2014-08-15 12:58:58 -07:00
Jeremy Avigad
218c9dfc81 feat(library/hott): begin porting Coq HoTT 2014-08-15 12:58:58 -07:00
Leonardo de Moura
1a67e69678 feat(library/scoped_ext): force user to end a scope with an identifier matching the one used in beginning of scope, closes #30 
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
 2014-08-07 16:59:08 -07:00
Soonho Kong
8d4c7b4b2c fix(library/hott/Makefile): specify LEAN_OPTIONS "--hott" 2014-08-07 09:59:15 -07:00
Leonardo de Moura
d9ee994281 feat(library/hott): copy basic files to hott library 
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
 2014-07-26 19:13:04 -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
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
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