Leonardo de Moura
3ca1264f61
refactor(library): mark 'decidable' theorems as definitions
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If we don't do that, then any 'if' term that uses one of these theorems
will get "stuck". That is, the kernel will not be able to reduce them
because theorems are always opaque
2014-09-30 09:02:37 -07:00
Floris van Doorn
3a95734fae
feat(library): changes in eq.lean sigma.lean and category.lean
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in eq.lean, make rec_on depend on the proof, and add congruence theorems for n-ary functions with n between 2 and 5
in sigma.lean, finish proving equality of triples
in category.lean, define the functor category, and make the proofs of the arrow and slice categories easier for the elaborator
2014-09-26 19:45:23 -04:00
Floris van Doorn
5396e422d2
feat(library): add constructions of categories, some changes in eq, sigma and path
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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.
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Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-09-19 15:54:32 -07:00
Leonardo de Moura
5d8c7fbdf1
refactor(frontends/lean): replace '[private]' modifier with 'private
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definition' and 'private theorem', '[private]' is not a hint.
2014-09-19 15:54:32 -07:00
Leonardo de Moura
97b1998def
refactor(frontends/lean): replace '[opaque]' modifier with 'opaque
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definition', '[opaque]' is not a hint, but a kind of definition
2014-09-19 15:54:32 -07:00
Leonardo de Moura
08ccd58eb6
feat(frontends/lean): add 'reducible' modifier for controlling which
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definitions are unfolded during elaboration
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
e3e2370a38
feat(frontends/lean): split 'opaque_hint' command into 'opaque' and 'transparent'
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Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-09-16 18:03:40 -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
Jeremy Avigad
9988914189
refactor(library/logic): move files in classes directory to core
2014-09-16 13:13:01 -07:00
Leonardo de Moura
9ac5f28b03
refactor(library/logic/core/eq): cleanup
2014-09-09 19:15:11 -07:00
Leonardo de Moura
b4d765ff2e
refactor(library/logic/core/cast): cleanup
2014-09-09 19:11:03 -07:00
Leonardo de Moura
9b9adf8831
refactor(library): replace decidable_eq with abbreviation
2014-09-09 16:09:05 -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
5087f03889
refactor(library/logic/classes/decidable): rename 'decidable_eq_to_decidable' theorem to 'of_decidable_eq'
2014-09-09 09:27:26 -07:00
Leonardo de Moura
b4793df653
feat(frontends/lean): rename '[fact]' to '[visible]'
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Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-09-08 07:47:42 -07:00
Leonardo de Moura
35e68fea76
feat(library/logic/classes/decidable): generalize 'by_cases' theorem
2014-09-08 00:16:20 -07:00
Leonardo de Moura
559dd586f2
feat(library): add 'decidable_eq' class
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Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-09-07 22:23:36 -07:00
Leonardo de Moura
48e5a2b6ad
feat(library/classes/inhabited): add dfun_inhabited theorem
2014-09-07 19:08:31 -07:00
Leonardo de Moura
fea516af24
feat(frontends/lean/elaborator): allow Pi/forall local instances
2014-09-07 18:16:33 -07:00
Leonardo de Moura
28f025c6d7
refactor(library/logic/core): use subscripts
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Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-09-04 22:43:30 -07:00
Leonardo de Moura
6632a50015
refactor(library): add namespaces 'or', 'and' and 'iff'
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Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-09-04 21:25:21 -07:00
Leonardo de Moura
68d9bef860
refactor(library): add 'eq' and 'ne' namespaces
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Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-09-04 18:41:06 -07:00
Leonardo de Moura
2bc6f92d33
refactor(library): add 'and' namespace
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Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-09-04 17:44:53 -07:00
Leonardo de Moura
364bba2129
feat(frontends/lean/inductive_cmd): prefix introduction rules with the name of the inductive datatype
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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'
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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'
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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
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Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-09-03 15:13:03 -07:00
Leonardo de Moura
8dec18018c
refactor(library/data/list): avoid placeholders '_', make first argument of false_elim implicit
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Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-09-01 19:44:04 -07:00
Jeremy Avigad
39825d2dc9
fix(library): rename congr class to congruence
2014-08-29 22:28:22 -07:00
Jeremy Avigad
6ffd719c1a
refactor(library/logic): move identities from classical to identities
2014-08-29 22:28:22 -07:00
Leonardo de Moura
d536475e49
refactor(library): more implicit_args for: and_assoc, and_comm, or_assoc, or_comm, if_pos, if_neg
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Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-08-28 11:10:04 -07:00
Jeremy Avigad
00a049a667
refactor(library/logic): rename connectives -> core, basic -> connectives
2014-08-27 18:43:24 -07:00
Leonardo de Moura
2d78387541
refactor(library/logic/basic): rename absurd_elim to absurd, delete contrapos and trivial_not_true theorems
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Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-08-27 18:34:09 -07:00
Jeremy Avigad
1011a8022c
refactor(library/logic/connectives): make dependence prop <- eq <- basic
2014-08-27 20:46:07 -04:00
Leonardo de Moura
a8d58fdd33
refactor(library): mark absurd_elim argument as implicit
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Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-08-26 18:27:39 -07:00
Leonardo de Moura
9bea23111f
feat(library/logic/connectives/basic): add not_not_em theorem
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Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-08-26 18:07:09 -07:00
Leonardo de Moura
0099a7b224
refactor(library/logic/connectives/eq): simplify eq_rec_on_id proof
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Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-08-26 18:07:09 -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
9715d06f4a
feat(library): minor cleanup, replace 'refl _' with 'rfl', define equivalence relation for sets
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Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-08-25 22:54:44 -07:00
Leonardo de Moura
3903be34a4
feat(frontends/lean): process theorem statement independently of proof, thus we have the same behavior in sequential and parallel compilation modes, closes #84
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Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-08-25 21:26:17 -07:00
Leonardo de Moura
dbaf81e16d
refactor(library): remove unnecessary 'standard' subdirectory
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Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-08-23 18:08:09 -07:00