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85 commits

Author SHA1 Message Date
Jeremy Avigad
44642a4285 feat(library/algebra/ordered_ring,library/data/int/): add sign and theorems about abs, make int an instance, port theorems 2015-01-21 15:46:17 -08:00
Jeremy Avigad
58057c5d99 feat(library/algebra/ordered_group): add abs 2015-01-21 15:46:17 -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
53f486835e fix(library/data/nat/order): delete unused material at end of file 2014-12-26 16:57:10 -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
486bc321ff refactor(library/data/nat): rename theorems 2014-12-23 21:14:35 -05:00
Jeremy Avigad
0f0da64264 refactor(library/data/int): make int instance of integral domain 2014-12-22 15:33:42 -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
abe129aa4f refactor(library): rename theorems "iff.flip_sign -> not_iff_not_of_iff" and "decidable_iff_equiv -> decidable_of_decidable_of_iff" 2014-12-15 19:17:51 -08:00
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
d6c8e23b03 refactor(library/init/logic): move theorems to library/logic 2014-12-12 13:24:17 -08:00
Jeremy Avigad
057615532e feat(library/data/int): replace int definition with structure and better computational behavior 2014-12-05 22:24:42 -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
6c7e23ecaa refactor(library): use 'reserve' notation in the standard library 2014-10-21 15:39:47 -07:00
Leonardo de Moura
fa96596bf7 refactor(data/int/order): use '!' operator 2014-10-05 11:44:18 -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
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
716cd4d651 refactor(library): rename namespace eq_ops to eq.ops 2014-10-01 17:51:17 -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
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
93c2c30310 feat(frontends/lean): allow transient coercions, i.e., coercions that 
are not saved in .olean files
 2014-09-19 15:54:32 -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
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
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
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
Renamed from library/standard/data/int/order.lean (Browse further)