Leonardo de Moura
df51ba8b7c
feat(library/definitional/projection): use strict implicit inference, closes #344
2014-11-25 18:04:06 -08:00
Jakob von Raumer
53d66c91fc
chore(library/hott) made ua_implies_funext a class instance
2014-11-23 17:43:55 -08:00
Jakob von Raumer
757cdcb130
feat(library/hott) funext from ua now with arbitrary universe levels for funext!
2014-11-23 17:43:55 -08:00
Jakob von Raumer
228205634d
chore(library/hott) make funext more general
2014-11-23 17:43:55 -08:00
Jakob von Raumer
12429c93c8
fix(library/hott) fix equiv_precomp, doesn't look nice now
2014-11-23 17:43:55 -08:00
Jakob von Raumer
1f6b6ff8e6
chore(library/hott) adjust funext_from_ua.lea to typeclass axioms
2014-11-23 17:43:55 -08:00
Jakob von Raumer
2d9621892b
fix(library/hott) fill both gaps (I don't know why it works that way), change name from funext.apply to funext.ap, since apply seems to be a tactic name?
2014-11-23 17:43:55 -08:00
Jakob von Raumer
fd47a162de
chore(library/hott) adapted theories to typeclass axioms
2014-11-23 17:43:55 -08:00
Jakob von Raumer
d8d2ea998d
feat(library/hott) change axioms to Leo's axioms-as-typeclass proposal
2014-11-23 17:43:55 -08:00
Floris van Doorn
3523a70b4c
fix(hott/path): make recursion-like definitions reducible
2014-11-22 17:44:13 -08:00
Floris van Doorn
e97b0b4e8e
feat(hott/types): port more of the sigma library from Coq
...
prove theorems about interaction of sigma types and n-types, including the fact that sigmas preserve n-types
2014-11-22 17:44:12 -08:00
Floris van Doorn
24e35a9f2c
fix(hott/trunc): comment out sorry
2014-11-22 17:44:12 -08:00
Floris van Doorn
bc807212ac
feat(hott/path): add notation for higher and dependent transports
2014-11-22 17:44:12 -08:00
Floris van Doorn
e8b076e460
feat(hott/types/sigma): port large part of the sigma library from the hott library
...
most importantly, prove the characterization of paths in sigma types
2014-11-22 17:44:12 -08:00
Jakob von Raumer
19d0afe160
feat(library/hott) completed the funext_from_ua proof with a somewhat restricted generality on universe levels
2014-11-21 10:46:16 -08:00
Jakob von Raumer
bc33af9f51
feat(library/hott) add universe polymorphism to paths, truncation, etc... get stuck at ua to funext proof anyway
2014-11-21 10:46:16 -08:00
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
