Jeremy Avigad
a9001166fd
fix(library/algebra/category/morphism): remove sorry that was introduced by accident
2014-11-28 22:54:15 -08:00
Jeremy Avigad
bb8d436e75
refactor(library/algebra/relation, library/logic/instances): revise equivalence relations and congruences to use structure command
2014-11-28 22:54:15 -08:00
Jeremy Avigad
7571f50870
feat(library/binary, library/relation): introduce general properties for binary operations and relations
2014-11-28 22:54:15 -08:00
Jeremy Avigad
89380f088e
feat(library): reorganize and declare some notation
2014-11-28 22:54:15 -08:00
Jeremy Avigad
58e325f0af
feat(library/algebra): add to developments of group, ordered_group, and ring
2014-11-28 22:54:15 -08:00
Jeremy Avigad
f923d6a24c
feat(library/data/sum): use + notation for sum
2014-11-28 22:54:15 -08:00
Jakob von Raumer
7c81044a99
chore(library/hott) change is_pointed to structure
2014-11-28 22:50:43 -08:00
Jakob von Raumer
0417c21bbb
chore(library/hott) change naming in equiv_precomp
2014-11-28 22:50:43 -08:00
Jakob von Raumer
4587e46c67
chore(library/hott) change naming to leo's naming proposal
2014-11-28 22:50:43 -08:00
Jakob von Raumer
7374149758
chore(library/hott) change equiv.lean to use structures and more typeclass inference
2014-11-28 22:50:43 -08:00
Leonardo de Moura
011e955fed
refactor(library/data/fin): simplify 'fin' module using new inversion tactic
2014-11-28 22:46:06 -08:00
Leonardo de Moura
e0debca771
feat(library/tactic/inversion_tactic): add 'case ... with ...' variant that allows user to specify names for new hypotheses
2014-11-28 22:25:37 -08:00
Leonardo de Moura
c2602baf2b
feat(library/tools/tactic): add 'cases' alias for 'inversion' tactic
2014-11-28 19:33:11 -08:00
Leonardo de Moura
ebd320a6b3
feat(library/tactic): add first step of 'inversion' tactic
2014-11-26 21:28:00 -08:00
Leonardo de Moura
f7deabfd19
feat(library/rename): add notation for rename
2014-11-26 19:02:11 -08:00
Leonardo de Moura
e55397d422
feat(library/tactic): add 'clears' and 'reverts' variants
2014-11-26 14:49:48 -08:00
Leonardo de Moura
2bd8f969d5
feat(library/tactic): add 'revert' tactic, closes #346
2014-11-26 14:23:42 -08:00
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
Leonardo de Moura
64686c1278
feat(frontends/lean): allow user to associate precedence to binders, closes #323
2014-11-23 17:30:46 -08:00
Leonardo de Moura
7231a36ec7
refactor(library/data/nat/div): remove unnecessary annotations
2014-11-23 17:30:46 -08:00
Leonardo de Moura
13fba433b0
feat(library/tactic/generalize): add 'generalizes' syntax sugar, closes #327
2014-11-23 17:30:22 -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
25f5c56bb2
refactor(data/sigma): move notation from sigma.thms to sigma.decl
2014-11-22 17:44:12 -08:00
Floris van Doorn
7bfbe039d9
refactor(data.prod): move theorems about products from data.quotient.util to data.prod.thms
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
Leonardo de Moura
616f2d9b82
fix(library/data/nat/div): notation should be local
2014-11-22 17:33:42 -08:00
Leonardo de Moura
ab9c51bd4b
refactor(library/data/nat/div): simplify 'gcd' definition
2014-11-22 17:19:24 -08:00
Leonardo de Moura
2af5ce364d
feat(library/data/nat/decl): add 'measure'
2014-11-22 17:19:03 -08:00
Leonardo de Moura
d07481f60f
feat(library/data/nat/div): remove some 'sorry's
2014-11-22 14:59:35 -08:00
Leonardo de Moura
9368b879bf
refactor(library/data/nat/div): use well-founded library for defining div, mod and gcd
2014-11-22 13:26:55 -08:00
Leonardo de Moura
21b16fd97c
feat(library/data/nat): add more basic theorems for definitional package
2014-11-22 13:25:46 -08:00
Leonardo de Moura
faf736a9d2
feat(library/logic/default): add wf_k
2014-11-22 13:25:46 -08:00
Leonardo de Moura
a3daff702a
fix(library/logic/wf): typo
2014-11-22 13:25:46 -08:00
Leonardo de Moura
47b6cfb28d
feat(library/logic/if): add dependent if-then-else: dite
2014-11-22 09:56:32 -08:00
Leonardo de Moura
9c9f5bba1a
refactor(library/data/nat): prove auxiliary theorems about < and sub asap for the definitional package
2014-11-22 09:36:33 -08:00
Leonardo de Moura
29a0d3109b
refactor(library/logic/connectives): mark theorems used to prove 'decidable' theorems as transparent
...
if we don't this, then 'if-then-else' expressions depending on theorems
such as 'and_decidable', 'or_decidable' will not compute inside the kernel
2014-11-22 09:32:43 -08:00
Leonardo de Moura
064ecd3e3d
refactor(library/data/nat): declare lt and le asap using inductive definitions, and make key theorems transparent for definitional package
...
We also define key theorems that will be used to generate the
automatically generated a well-founded subterm relation for inductive
datatypes.
We also prove decidability and wf theorems asap.
2014-11-22 00:19:39 -08:00
Leonardo de Moura
7c54dbce10
refactor(library/logic/if): mark basic theorem transparent
2014-11-22 00:19:05 -08:00
Leonardo de Moura
acf1c501ad
refactor(library/logic/prop): allow 'absurd' to generate Type
2014-11-22 00:19:05 -08:00
Leonardo de Moura
2e121182de
refactor(library/logic/decidable): rename decidable_rel -> decidable_pred, and decidable_rel2 -> decidable_rel
2014-11-21 11:49:31 -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
Leonardo de Moura
47e3f0e770
fix(library/logic/wf_k): missing file
2014-11-21 10:03:20 -08:00
Leonardo de Moura
dbb3b7c72a
refactor(library/data/nat/sub): cleanup 'max' theorems
2014-11-18 17:56:42 -08:00
Leonardo de Moura
e77cd59368
refactor(library/logic): add basic definitions for relations at logic/relation.lean
...
We need them for wf and definitional package
2014-11-18 17:32:22 -08:00
Leonardo de Moura
99c30db805
feat(library/data/fin): add fin type
2014-11-17 23:44:57 -08:00
Leonardo de Moura
e2ceb86884
feat(library/data/nat/order): add calc_trans commands for lt and le
2014-11-17 23:44:27 -08:00
Leonardo de Moura
5dc42762de
feat(library/data): define 'nat.addl' addition using recursion on the first argument, prove it to be equivalent to 'add', and use it to define vector.append
2014-11-17 22:03:39 -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
Jeremy Avigad
4420f0dc0c
feat(library/algebra/group): add ordered semigroups
2014-11-17 18:32:14 -08:00
Leonardo de Moura
3cd3da5a84
refactor(library/data/prod/wf): remove duplication, and import wf's for sigma and prod
2014-11-16 21:19:10 -08:00
Leonardo de Moura
b7725c2949
feat(library/data/sigma/wf): define 'lex' for 'sigma' types and prove wf theorem
2014-11-16 20:08:52 -08:00
Leonardo de Moura
dd0b1ecdbf
refactor(library/data/sigma): break file into smaller pieces to reduce dependencies
2014-11-16 18:22:03 -08:00
Leonardo de Moura
53ac754328
refactor(library/data/option): cleanup using 'no_confusion'
2014-11-16 17:56:51 -08:00
Leonardo de Moura
de209f929e
feat(library/data/prod/wf): define relational product and prove wf theorem for it
2014-11-16 17:47:07 -08:00
Leonardo de Moura
bf5f48730c
refactor(library/data/subtype): define subtype using 'structure' command
2014-11-16 15:01:14 -08:00
Leonardo de Moura
b5404cd979
refactor(library/data/vector): cleanup, use variables, add concat
2014-11-15 22:36:52 -08:00
Leonardo de Moura
85f24e4c80
feat(library/data/vector): add 'zip' and 'unzip' functions
2014-11-15 22:19:23 -08:00
Leonardo de Moura
a7adfde84f
feat(library/data/vector): use 'mechanical' definitions, and add 'last' function
...
The 'mechanical' definitions are "mimicking" what the definitional
package will do.
2014-11-15 20:21:18 -08:00
Leonardo de Moura
627c7cb531
chore(library/logic/wf): remove unnecessary :max
2014-11-14 17:37:05 -08:00
Jeremy Avigad
0d982cceed
feat(library/algebra/ring): begin theory of semirings and rings
2014-11-14 17:27:35 -08:00
Leonardo de Moura
e7a7458922
feat(library/general_notation): reserve unary minus
2014-11-13 22:08:20 -08:00
Jeremy Avigad
1ed7794264
feat(library/algebra/group): add theorems for calculation
2014-11-13 20:44:58 -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
Leonardo de Moura
edd04881ee
fix(library/logic): import prod and unit declarations in logic
...
Reason: we need them for automatically generating constructions needed
by the definitional package
2014-11-12 16:54:50 -08:00
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
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
60eac0195d
feat(frontends/lean/structure_cmd): generate projection over constructor theorems for structures
2014-11-04 09:10:25 -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
b24165dc7b
feat(frontends/lean/structure_cmd): remove 'cases_on' for structures since it may confuse users, add 'destruct' as alternative name for 'rec_on'
2014-11-03 23:06:33 -08:00
Leonardo de Moura
d2b5af237e
refactor(library): use new 'structure' command to define prod and sigma
2014-11-03 18:57:55 -08:00
Floris van Doorn
d8a616fa70
refactor(library): major changes in the library
...
I made some major changes in the library. I wanted to wait with pushing
until I had finished the formalization of the slice functor, but for
some reason that is very hard to formalize, requiring a lot of casts and
manipulation of casts. So I've not finished that yet.
Changes:
- in multiple files make more use of variables
- move dependent congr_arg theorems to logic.cast and proof them using heq (which doesn't involve nested inductions and fewer casts).
- prove some more theorems involving heq, e.g. hcongr_arg3 (which do not
require piext)
- in theorems where casts are used in the statement use eq.rec_on
instead of eq.drec_on
- in category split basic into basic, functor and natural_transformation
- change the definition of functor to use fully bundled
categories. @avigad: this means that the file semisimplicial.lean will
also need changes (but I'm quite sure nothing major). You want to
define the fully bundled category Delta, and use only fully bundled
categories (type and ᵒᵖ are notations for the fully bundled
Type_category and Opposite if you open namespace category.ops). If you
want I can make the changes.
- lots of minor changes
2014-11-03 18:45:12 -08:00
Leonardo de Moura
ae9d11c9c4
refactor(library/data): rename prod_ext and dpair_ext to prod.eta and sigma.eta
...
Reason: they will be generated automatically by definitional package.
2014-11-03 08:29:05 -08:00
Leonardo de Moura
4bdee07af2
refactor(library/algebra/category/basic): use calc assistant
2014-10-31 09:49:45 -07:00
Leonardo de Moura
8d3e9fdc20
refactor(library/data/nat/basic): remove unnecessary {}
2014-10-31 09:49:45 -07:00
Leonardo de Moura
8a4d4409cd
feat(frontends/lean/calc_proof_elaborator): add '{...⁻¹}' if needed in calc proofs, closes #268
...
This commit also simplifies library/data/nat/basic.lean
2014-10-31 01:02:49 -07:00
Leonardo de Moura
5f23179388
refactor(library/data/nat): remove unnecessary !
and eq.symm
...
The calc command automatically adds them now.
2014-10-30 23:28:35 -07:00
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
09c6c05e26
chore(library/data/quotient): replace 'let' with 'have' and cleanup
2014-10-30 18:44:05 -07:00
Leonardo de Moura
407e35692b
feat(frontends/lean/calc): wrap calc proofs with 'proof-qed' annotation to identify places where proof influences what is being proved
...
Later, we will add a custom annotation and elaborator for calc proofs.
This is the first step for issue #268 .
Remark: we don't wrap the proof if it is of the form
- `by tactic`
- `begin tactic-seq end`
- `{ expr }`
2014-10-30 18:33:47 -07:00
Leonardo de Moura
9547e2d077
feat(library/tactic): add rotate_left/rotate_right tactics, closes #278
2014-10-29 19:13:55 -07:00
Leonardo de Moura
e22eb3543c
feat(library/tactic): add whnf tactic, closes #270
2014-10-28 23:18:49 -07:00
Leonardo de Moura
ea739100b3
fix(library/unifier): broken optimization in the unifier
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See new comments and tests for details.
2014-10-28 16:09:41 -07:00
Leonardo de Moura
777aa63660
fix(kernel/inductive): relax eliminator generation rules for empty types
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This commit also removes the workaround false.rec_type. It is not needed anymore
2014-10-28 10:31:00 -07:00
Leonardo de Moura
aafdbf57f0
fix(library/data/unit): missing file
2014-10-25 18:34:41 -07:00
Leonardo de Moura
c7f6a6b94e
feat(library/definitional/cases_on): automatically add 'cases_on'
2014-10-25 17:22:02 -07:00
Leonardo de Moura
758a17ab23
refactor(library/data/unit): break unit.lean into smaller pieces
...
The unit datatype is used by automation.
We want to be able to access its declaration without having to access
all dependencies (e.g., decidable, subsingleton, inhabited, ...).
This is *not* an optimization, but a way to make sure we can "import" unit
before we import other declarations.
2014-10-25 14:57:33 -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
354b50a1f5
refactor(library/data/unit): make unit universe polymorphic
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Motivation: we need it for "padding".
Example 1: defining a n-ary tuple type.
Example 2: defining cases-on for mutually recursive datatypes
2014-10-25 13:55:03 -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
Soonho Kong
51125c1577
fix(library/data/quotient/default.lean): remove classical
2014-10-24 07:41:29 -07:00
Leonardo de Moura
79d0347721
feat(library/tactic): add generalize tactic, closes #34
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Remark: the intros tactic has been added in a different commit: 7d0100a340
2014-10-23 22:40:15 -07:00
Leonardo de Moura
e750c9b67a
feat(frontends/lean): add 'info' tactic for producing PROOF_STATE info for emacs mode
2014-10-23 13:18:30 -07:00
Leonardo de Moura
00f9a10e82
refactor(library/tactic/unfold_tactic): use new 'tactic.expr' to implement 'unfold' tactic
...
This change also enabled us to remove hacks used in the tests modified
by this commit.
2014-10-23 10:26:19 -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
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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
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Port features from the Coq Hott library
2014-10-22 22:22:08 -07:00
Leonardo de Moura
5a553603d1
fix(library/general_notation): mark \tr as left associative
2014-10-22 22:18:40 -07:00
Leonardo de Moura
3aec70b92c
feat(library/tactic): elaborate 'exact' tactic argument at tactic execution time
2014-10-22 22:13:37 -07:00
Leonardo de Moura
c50227ea6e
feat(library/tactic): change apply tactic semantics: goals are not reversed; and dependent arguments are not included
...
This commit also adds the tactic rapply that corresponds to the previous
semantics we have been using.
2014-10-22 18:11:09 -07:00
Leonardo de Moura
e95c7c5f70
refactor(library/tactic/rename_tactic): use new 'tactic.expr' to implement 'intro/intros' tactic
...
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-10-22 17:29:50 -07:00
Leonardo de Moura
9a316092d1
refactor(library/tactic/rename_tactic): use new 'tactic.expr' to implement rename tactic
2014-10-22 17:29:50 -07:00
Leonardo de Moura
5e15ac0c92
feat(library/tactic): add new approach for embedding non-elaborated expressions into tactics
2014-10-22 17:29:50 -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
e24225fabf
feat(frontends/lean): validate infixl/infixr/postfix/prefix declarations against reserved notations
2014-10-21 15:39:47 -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
2e9141b7e1
refactor(library): remove unnecessary :max
hack in notation declarations
...
This hack is not needed anymore.
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-10-20 18:45:52 -07:00
Leonardo de Moura
40fb66bf07
feat(frontends/lean): change default precedence to 1
2014-10-20 18:40:55 -07:00
Leonardo de Moura
e68007a727
fix(frontends/lean/builtin_tactics): adjust tactics precedence
2014-10-20 17:10:16 -07:00
Leonardo de Moura
854e72e665
refactor(library/data/list): minimize dependencies and avoid 'sorry' warning
2014-10-20 15:32:42 -07:00
Leonardo de Moura
f63d47fef3
feat(frontends/lean/pp): support foldl/foldr notation in the pretty printer
2014-10-19 11:16:24 -07:00
Leonardo de Moura
85339c0cc1
fix(library/data/list/basic): mark ::
as infixr
2014-10-19 08:58:52 -07:00
Leonardo de Moura
144150d47b
fix(library/type): modify declaration order and make sure Type1, Type2 and Type3 notations have precedence over Type' during pretty printing
2014-10-18 15:15:44 -07:00
Leonardo de Moura
58c9421bab
refactor(library/tactic): elaborate expressions nested in tactics with respect to current goal, save postponed constraints (e.g., flex-flex constraints) closes #44 , fixes #70
2014-10-14 17:18:40 -07:00
Soonho Kong
ba24d01dd2
chore(library/Makefile): remove unused Makefile
2014-10-14 08:41:19 -07:00
Leonardo de Moura
4a9e725ca7
refactor(library/algebra/category/morphism): make sure bug #231 has been fixed
2014-10-13 20:56:40 -07:00
Leonardo de Moura
9edf780a00
feat(frontends/lean): elaborate inductive datatypes and introduction rules as a single elaboration problem
2014-10-13 18:35:11 -07:00
Leonardo de Moura
5c1d5133dd
fix(library/data/prod): make the notation for tuples and product types consistent
2014-10-13 06:48:37 -07:00
Leonardo de Moura
a26618e0f2
feat(frontends/lean): add '[]' notation for marking arguments where class-instance resolution should be applied
2014-10-12 13:06:00 -07:00