Leonardo de Moura
2e4a2451e6
refactor(library/reducible): simplify reducible/irreducible semantics
2015-01-08 18:52:18 -08:00
Leonardo de Moura
7a3a73d931
refactor(library/data/nat): move nat.comm_semiring to separate file
2015-01-08 12:12:30 -08:00
Leonardo de Moura
1fab144aa7
refactor(library/init/nat): rename constants
...
closes #387
2015-01-07 18:26:51 -08:00
Jeremy Avigad
42c328e781
refactor(library/data/nat/basic): rename pred.zero and pred.succ
2015-01-07 18:18:28 -08:00
Jeremy Avigad
50f03c5a09
refactor(library/data/nat/order): make nat order an instance of linear_ordered_semigroup, rename various theorems
2015-01-07 18:18:28 -08:00
Jeremy Avigad
b11064a90e
fix(library/data/nat,int): fix instance declarations for nat and int
2015-01-03 22:27:21 -08:00
Jeremy Avigad
1eea75b6fc
fix(library/data/nat/div,tests/lean/run/ppbeta): make decidable for dvd transparent, name change in ppbeta
2014-12-26 16:44:43 -05:00
Jeremy Avigad
cecabbb401
refactor(library/data/int,library/algebra): make int an instnance of ordered ring, rename theorems
2014-12-26 16:25:05 -05:00
Jeremy Avigad
25394dddb7
refactor(library): change mul.left_id to mul_one, and similarly for mul.right_id, add.left_id, add.right_id
2014-12-23 21:14:36 -05:00
Jeremy Avigad
5bc6dd84cf
feat(library/data/nat): make nat an instance of comm_semiring
2014-12-23 21:14:35 -05:00
Jeremy Avigad
486bc321ff
refactor(library/data/nat): rename theorems
2014-12-23 21:14:35 -05:00
Jeremy Avigad
9d2587c79b
refactor(library/data/int/basic): make the integers an instance of ring
2014-12-17 13:32:38 -05:00
Leonardo de Moura
5cf8064269
refactor(library): rename exists_elim and exists_intro to exists.elim
...
and exists.intro
2014-12-15 19:07:38 -08:00
Jeremy Avigad
3e9a484851
refactor(library/logic/connectives): rename theorems
2014-12-15 15:05:44 -05:00
Leonardo de Moura
c6ebe9456e
feat(library/data/nat): add "bounded" quantifiers
...
Later, we will add support for arbitrary well-founded relations
2014-12-13 15:42:38 -08:00
Leonardo de Moura
d6c8e23b03
refactor(library/init/logic): move theorems to library/logic
2014-12-12 13:24:17 -08:00
Leonardo de Moura
e72c4977f0
feat(frontends/lean): nicer notation for dependent if-then-else
2014-12-04 11:13:09 -08:00
Leonardo de Moura
b094c1cf43
refactor(library/init): move num->nat coercion to init
2014-12-01 08:23:31 -08:00
Leonardo de Moura
697d4359e3
refactor(library): add 'init' folder
2014-11-30 20:34:12 -08:00
Leonardo de Moura
7dc055cfc9
chore(library/data/nat/decl): remove leftover
2014-11-30 15:10:10 -08:00
Leonardo de Moura
dad94eafbe
refactor(data/nat/decl): use new naming convention at data/nat/decl.lean
2014-11-30 15:07:09 -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
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
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
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
dbb3b7c72a
refactor(library/data/nat/sub): cleanup 'max' theorems
2014-11-18 17:56:42 -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
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
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
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
64d2cc60c2
feat(library/data/nat/wf): add nat.lt is well founded theorem
2014-11-07 10:48:31 -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
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
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
6c7e23ecaa
refactor(library): use 'reserve' notation in the standard library
2014-10-21 15:39:47 -07:00
Leonardo de Moura
86591c7272
refactor(library/data/prod): cleanup
2014-10-05 13:38:08 -07:00
Leonardo de Moura
efaeeb0726
refactor(data/nat/sub): use new policy for marking implicit arguments and '!' operator
2014-10-05 12:39:13 -07:00
Leonardo de Moura
a0d4d82f3f
refactor(data/nat/order): use new policy for marking implicit arguments and '!' operator
2014-10-05 11:36:39 -07:00
Leonardo de Moura
73aa024c31
refactor(library/logic): remove 'core' subdirectory
2014-10-05 10:50:13 -07:00
Leonardo de Moura
d42fd657fe
refactor(library): is_inhabited "theorems" should be "definitions", they are "data"
2014-10-02 09:00:34 -07:00
Leonardo de Moura
153e3927ac
feat(frontends/lean/elaborator): modify '!' semantics: it stops consuming arguments as soon it finds an argument that does not occur in the rest of the type.
2014-10-01 18:50:17 -07:00
Leonardo de Moura
e64d5c4a4a
refactor(library/data/nat): use new operator '!'
2014-10-01 18:39:47 -07:00
Leonardo de Moura
a978e30c81
refactor(library/data/nat): rename to_nat to of_num
2014-10-01 17:52:33 -07:00
Leonardo de Moura
716cd4d651
refactor(library): rename namespace eq_ops to eq.ops
2014-10-01 17:51:17 -07:00
Leonardo de Moura
3657d4c3ab
feat(frontends/lean): coercion num -> int even when nat is not open, closes #219
...
I also had to mark the coercions as reducible.
Otherwise, given the constraint
?M (int.of_num 0) =?= (int.of_nat (nat.to_nat 0))
the unifier will not generate the solution
?M := fun x, x
2014-10-01 11:09:10 -07:00
Leonardo de Moura
3ca1264f61
refactor(library): mark 'decidable' theorems as definitions
...
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
Leonardo de Moura
e430dc8bab
feat(frontends/lean): add 'irreducible' as syntax sugar for 'reducible [off]'
2014-09-19 15:54:32 -07:00
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
08ccd58eb6
feat(frontends/lean): add 'reducible' modifier for controlling which
...
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'
...
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
9b9adf8831
refactor(library): replace decidable_eq with abbreviation
2014-09-09 16:09:05 -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
...
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-09-07 22:23:36 -07:00
Leonardo de Moura
f9b62c53e6
feat(library/data/nat): add nat.is_inhabited theorem
2014-09-07 19:59:34 -07:00
Leonardo de Moura
6632a50015
refactor(library): add namespaces 'or', 'and' and 'iff'
...
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
...
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
...
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
...
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
7500761114
refactor(library/data/nat/basic): remove unnecessary nat_
...
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-09-03 16:14:29 -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
Leonardo de Moura
6077b3158c
fix(library): remove unnecessary [fact] modifier
...
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-09-02 16:06:55 -07:00
Leonardo de Moura
b43313ec43
fix(library/nat/div): remove unnecessary '_''s
...
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-08-28 17:40:57 -07:00
Jeremy Avigad
8094884c85
feat(library/data/nat/div.lean): remove dependence on funext
2014-08-28 17:37:32 -07:00
Leonardo de Moura
b51fa2b547
chore(library): minor cleanup
...
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-08-28 13:04:17 -07:00
Leonardo de Moura
d536475e49
refactor(library): more implicit_args for: and_assoc, and_comm, or_assoc, or_comm, if_pos, if_neg
...
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-08-28 11:10:04 -07:00
Leonardo de Moura
6b7e79b62f
feat(library/data/nat): mark more arguments implicit
...
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-08-28 10:38:58 -07:00
Leonardo de Moura
2d78387541
refactor(library/logic/basic): rename absurd_elim to absurd, delete contrapos and trivial_not_true theorems
...
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-08-27 18:34:09 -07:00
Leonardo de Moura
a8d58fdd33
refactor(library): mark absurd_elim argument as implicit
...
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-08-26 18:27:39 -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