Leonardo de Moura
6bc89f0916
feat(library/definitional): define ibelow and below
...
These are helper definitions for brec_on and binduction_on
2014-11-12 16:38:46 -08:00
Leonardo de Moura
ef5a3e83ad
feat(library/data/vector): expand 'vector' module
2014-11-11 22:33:47 -08:00
Leonardo de Moura
21b93bd2e5
chore(library/data/prod/wf): remove dependency on opaque theorem
2014-11-11 00:39:53 -08:00
Leonardo de Moura
54213b48dc
feat(library/data/prod/wf): lex of well-founded relations is well-founded
2014-11-11 00:29:21 -08:00
Leonardo de Moura
76711d00c1
feat(library/data/nat/wf): define measure using inverse image
2014-11-11 00:28:46 -08:00
Leonardo de Moura
4623a62ec3
feat(library/data/nat/wf): predecessor relation is well-founded
2014-11-10 22:15:15 -08:00
Leonardo de Moura
9c93816211
chore(library/logic/wf): cleanup
2014-11-10 21:19:38 -08:00
Leonardo de Moura
4ebd3e2c27
feat(library/logic/wf): transitive closure of a well-founded relation is well-founded
2014-11-10 21:07:28 -08:00
Leonardo de Moura
22b7a0615f
fix(frontends/lean): coercion affects other modules
2014-11-10 20:14:19 -08:00
Leonardo de Moura
64043094f4
feat(library/logic/wf): some basic definitions for constructing well_founded relations
2014-11-10 17:57:55 -08:00
Leonardo de Moura
189e5e6b48
refactor(library/data/nat/wf): mark theorem as transparent
...
It doesn't really help since
le_imp_lt_or_eq, succ_le_cancel, lt_imp_le_succ and or.elim
are still opaque
2014-11-10 12:52:02 -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
780e949992
feat(empty): define negation of types
2014-11-08 19:12:54 -08:00
Floris van Doorn
bf27a17dec
style(library): add some comments
2014-11-08 19:12:54 -08:00
Floris van Doorn
8c7fdd3708
style(library): rename set_category to discrete_category
2014-11-08 19:12:54 -08:00
Floris van Doorn
930cc11684
doc(algebra): update markdown files
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
4a955c0f92
feat(library/algebra/order): begin theory of orders
...
feat(library/algebra/order): begin theory of orders
2014-11-08 19:07:59 -08:00
Leonardo de Moura
b97d437011
refactor(library/data/nat/basic): use no_confusion construction to simplify proofs
2014-11-08 19:00:40 -08:00
Leonardo de Moura
ac5a963db3
refactor(library/data/sum): use no_confusion construction to simplify proofs
2014-11-08 18:58:56 -08:00
Leonardo de Moura
46149d0d50
refactor(library/data/prod): break into pieces to reduce dependencies
...
prod is needed for some automatically generated constructions.
So, it is important it is loaded in the environment as early as possible.
2014-11-08 10:19:29 -08:00
Leonardo de Moura
ad2ecfb7a8
refactor(library/logic/cast): move heq declaration to a separate module
...
heq is be needed for some automatically generated constructions.
So, we want it available with the least number of dependencies.
2014-11-08 10:19:29 -08:00
Leonardo de Moura
64d2cc60c2
feat(library/data/nat/wf): add nat.lt is well founded theorem
2014-11-07 10:48:31 -08:00
Jeremy Avigad
c28227d7a1
feat(library/algebra/group): add multiplicative and additive structures
2014-11-07 10:23:37 -08:00
Jeremy Avigad
05ec76185d
fix(library/hott/fibrant): set arguments for type class resolution
2014-11-07 10:23:37 -08:00
Leonardo de Moura
92b0a538c5
refactor(library/logic/wf): add well_founded class, and cleanup file
2014-11-07 10:18:24 -08:00
Leonardo de Moura
f16f215c2a
refactor(data/num/string): break into pieces to reduce dependencies
2014-11-07 08:53:14 -08:00
Leonardo de Moura
fd34fd17de
refactor(library/data/bool): break into pieces to reduce dependencies
2014-11-07 08:41:14 -08:00
Leonardo de Moura
e993486301
refactor(library/data/num): break into pieces to reduce dependencies
2014-11-07 08:24:29 -08:00
Leonardo de Moura
85d0521d48
feat(frontends/lean): add '[parsing-only]' modifier to notation declarations, closes #305
2014-11-06 21:34:05 -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
Leonardo de Moura
781f709bb4
feat(library/logic): import wf.lean in logic/default.lean
...
We will use well-founded recursion in the definitional package
2014-11-06 15:03:13 -08:00
Leonardo de Moura
194247f75b
refactor(library/logic/wf): minimize dependencies
2014-11-06 14:59:03 -08:00
Leonardo de Moura
b177c84b06
feat(library/logic): add well-founded recursion
...
It also removes the old well-founded induction theorem based on
classical principles
2014-11-06 14:49:53 -08:00
Leonardo de Moura
d306c42a1f
refactor(library/logic): cleanup some of the proofs in cast.lean, remove piext axiom
...
Remark: the main motivation for piext was Lean 0.1 simplifier.
We are using a different approach in Lean 0.2.
The axiom is not needed anymore.
It is also not used in any part of the standard library
2014-11-05 16:43:31 -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
