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78 commits

Author SHA1 Message Date
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