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139 commits

Author SHA1 Message Date
Jeremy Avigad
5eb7fef564 feat(library/algebra/order.lean, data/int/{basic,order}.lean): add theorem, correct gt_trans 2015-04-18 11:39:52 -07:00
Leonardo de Moura
754276a660 feat(frontends/lean): round parenthesis for [tactic1 | tactic2] 
This commit also replaces the notation for divides
     `(` a `|` b `)`
with
      a `∣` b

The character `∣` is entered by typing \|

closes #516
 2015-04-06 09:24:09 -07:00
Leonardo de Moura
4ec0e1b07c feat(frontends/lean): improve calc mode 
Now, it automatically supports transitivity of the form
    (R a b) -> (b = c) -> R a c
    (a = b) -> (R b c) -> R a c

closes #507
 2015-04-04 08:58:35 -07:00
Leonardo de Moura
5b9d52c0dd refactor(library/data/int/order): cleanup 2015-03-28 12:58:40 -07:00
Jeremy Avigad
765f6f21f8 fix(library/algebra/ring.lean): allow degenerate semirings and rings, but not degenerate ordered_semirings and ordered_rings. Closes #478. 2015-03-25 18:29:06 -07:00
Jeremy Avigad
ec05e83a2a feat(library/data/int/div.lean): add theorems about div 2015-03-12 20:54:49 -07:00
Leonardo de Moura
df13588b93 chore(library/data): remove unnecessary parentheses 2015-03-01 14:18:36 -08:00
Leonardo de Moura
68110faa4d feat(frontends/lean/inductive_cmd): allow '|' in inductive datatype declarations 2015-02-25 17:00:10 -08:00
Leonardo de Moura
5ca52d81ec feat(frontends/lean): ML-like notation for match and recursive equations 2015-02-25 16:20:44 -08:00
Leonardo de Moura
3c24461e51 refactor(*): modify '|' binding power, use 'abs a' instead of '|a|', and '(a | b)' instead of 'a | b' 2015-02-25 15:18:21 -08:00
Leonardo de Moura
c04c610b7b feat(frontends/lean): add 'assert H : A, ...' as notation for 'have H [visible] : A, ...' 2015-02-25 14:30:42 -08:00
Jeremy Avigad
e555531eb6 feat(library/data/int/div): start on div for integers 2015-02-25 14:05:07 -08:00
Jeremy Avigad
7a57908d62 feat/refactor(library/data/int): revise and add theorems 2015-02-25 14:05:07 -08:00
Jeremy Avigad
a607e7dd57 feat(library/algebra/group): add rules for sub equalities 2015-02-25 14:05:06 -08:00
Leonardo de Moura
909ebfc5f1 feat(frontends/lean/elaborator): try coercions after each overload 
We try only the easy cases since the more general case is too expensive.

closes #444
 2015-02-24 17:41:20 -08:00
Leonardo de Moura
1cd44e894b feat(library/tactic/class_instance_synth): conservative class-instance resolution: expand only definitions marked as reducible 
closes #442
 2015-02-24 16:12:35 -08:00
Leonardo de Moura
a35cce38b3 feat(frontends/lean): new semantics for "protected" declarations 
closes #426
 2015-02-11 14:09:25 -08:00
Jeremy Avigad
d48a332876 refactor(library/data/prod): move specialized theorems to quotient 2015-02-01 11:17:45 -08:00
Jeremy Avigad
e5c25ff7a3 refactor(library/data/nat,int): use nicer definitions of structure instances 2015-02-01 11:17:45 -08:00
Jeremy Avigad
8d5a7a96b6 feat(library/data/nat/div): revise theorems, add lcm 2015-01-31 21:52:35 -08:00
Jeremy Avigad
928fc3ab81 feat(library/algebra/order,library/data/{nat,int}/order): make gt, ge reducible, add transitivity rules 2015-01-26 20:38:21 -05:00
Jeremy Avigad
0c04c7b0d2 fix(library/data/nat,int): make structure instances reducible 2015-01-26 20:38:21 -05:00
Jeremy Avigad
85ef7c5151 refactor(library/algebra/group): rename neg_add_distrib to neg_add, etc. 2015-01-26 20:38:21 -05:00
Leonardo de Moura
e2c41fca75 feat(frontends/lean): modify syntax for local notation 
The idea is to make it uniform with the syntax for defining local
attributes.
 2015-01-26 11:51:17 -08:00
Leonardo de Moura
b4d6f6e3ed feat(frontends/lean): 'attribute' command is persistent by default 2015-01-26 11:51:17 -08:00
Leonardo de Moura
4f2e0c6d7f refactor(frontends/lean): add 'attribute' command 
The new command provides a uniform way to set declaration attributes.
It replaces the commands: class, instance, coercion, multiple_instances,
reducible, irreducible
 2015-01-24 20:23:21 -08:00
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
Leonardo de Moura
2717adde94 feat(library/unifier): add option 'unifier.conservative', use option by default in the calc_assistant 2015-01-19 16:23:29 -08:00
Jeremy Avigad
0dcf06000b refactor(library/data/int/sub): rename theorems, add theorems, clean up 2015-01-12 16:28:42 -05:00
Leonardo de Moura
2e4a2451e6 refactor(library/reducible): simplify reducible/irreducible semantics 2015-01-08 18:52:18 -08:00
Leonardo de Moura
1fab144aa7 refactor(library/init/nat): rename constants 
closes #387
 2015-01-07 18:26:51 -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
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
0f0da64264 refactor(library/data/int): make int instance of integral domain 2014-12-22 15:33:42 -05:00
Leonardo de Moura
235894cec5 fix(data/int/basic): move decidable theorems 2014-12-17 18:27:39 -08:00
Jeremy Avigad
5a2f81e962 fix(library/data/int): define sub from algebra.sub 2014-12-17 18:02:55 -08:00
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
697d4359e3 refactor(library): add 'init' folder 2014-11-30 20:34:12 -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
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
e7a7458922 feat(library/general_notation): reserve unary minus 2014-11-13 22:08:20 -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
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
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
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
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
Floris van Doorn
05fb3aa060 feat(library/data/int): remove duplicate theorem, fix one sorry 2014-09-26 19:45:23 -04:00
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
97b1998def refactor(frontends/lean): replace '[opaque]' modifier with 'opaque 
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 
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
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
Leonardo de Moura
9b9adf8831 refactor(library): replace decidable_eq with abbreviation 2014-09-09 16:09:05 -07:00
Leonardo de Moura
ff9a07500d feat(library/data/int/basic): create alias for int.int 2014-09-09 14:03:44 -07:00
Leonardo de Moura
fa25ddc8e6 chore(library/data/int/basic): remove unnecessary 'hinding' clause 
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
 2014-09-07 22:50:43 -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
9412e604c8 refactor(library/data): cleanup datatypes 
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
 2014-09-04 22:31:52 -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
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
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