Floris van Doorn
3523a70b4c
fix(hott/path): make recursion-like definitions reducible
2014-11-22 17:44:13 -08:00
Floris van Doorn
e97b0b4e8e
feat(hott/types): port more of the sigma library from Coq
...
prove theorems about interaction of sigma types and n-types, including the fact that sigmas preserve n-types
2014-11-22 17:44:12 -08:00
Floris van Doorn
25f5c56bb2
refactor(data/sigma): move notation from sigma.thms to sigma.decl
2014-11-22 17:44:12 -08:00
Floris van Doorn
7bfbe039d9
refactor(data.prod): move theorems about products from data.quotient.util to data.prod.thms
2014-11-22 17:44:12 -08:00
Floris van Doorn
24e35a9f2c
fix(hott/trunc): comment out sorry
2014-11-22 17:44:12 -08:00
Floris van Doorn
bc807212ac
feat(hott/path): add notation for higher and dependent transports
2014-11-22 17:44:12 -08:00
Floris van Doorn
e8b076e460
feat(hott/types/sigma): port large part of the sigma library from the hott library
...
most importantly, prove the characterization of paths in sigma types
2014-11-22 17:44:12 -08:00
Leonardo de Moura
919007612a
fix(tests/lean): adjust tests since module 'logic' depends on nat
...
We need that because of the definitional package
2014-11-22 17:34:05 -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
faf736a9d2
feat(library/logic/default): add wf_k
2014-11-22 13:25:46 -08:00
Leonardo de Moura
a3daff702a
fix(library/logic/wf): typo
2014-11-22 13:25:46 -08:00
Leonardo de Moura
5db13da95f
test(tests/lean/run/div_wf): cleanup div based on well founded recursion
2014-11-22 09:56:47 -08:00
Leonardo de Moura
47b6cfb28d
feat(library/logic/if): add dependent if-then-else: dite
2014-11-22 09:56:32 -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
29a0d3109b
refactor(library/logic/connectives): mark theorems used to prove 'decidable' theorems as transparent
...
if we don't this, then 'if-then-else' expressions depending on theorems
such as 'and_decidable', 'or_decidable' will not compute inside the kernel
2014-11-22 09:32:43 -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
7c54dbce10
refactor(library/logic/if): mark basic theorem transparent
2014-11-22 00:19:05 -08:00
Leonardo de Moura
acf1c501ad
refactor(library/logic/prop): allow 'absurd' to generate Type
2014-11-22 00:19:05 -08:00
Leonardo de Moura
2e121182de
refactor(library/logic/decidable): rename decidable_rel -> decidable_pred, and decidable_rel2 -> decidable_rel
2014-11-21 11:49:31 -08:00
Jakob von Raumer
19d0afe160
feat(library/hott) completed the funext_from_ua proof with a somewhat restricted generality on universe levels
2014-11-21 10:46:16 -08:00
Jakob von Raumer
bc33af9f51
feat(library/hott) add universe polymorphism to paths, truncation, etc... get stuck at ua to funext proof anyway
2014-11-21 10:46:16 -08:00
Leonardo de Moura
5d5fd2da50
fix(frontends/lean): tactic + section variables, fixes #332
2014-11-21 10:07:16 -08:00
Leonardo de Moura
47e3f0e770
fix(library/logic/wf_k): missing file
2014-11-21 10:03:20 -08:00
Leonardo de Moura
7e7e7c241c
test(tests/lean/run/gcd): gcd compiled by hand into wf recursion
2014-11-18 19:34:01 -08:00
Leonardo de Moura
4fbb5cfcca
test(tests/lean/run/div_wf): cleanup
2014-11-18 17:59:14 -08:00
Leonardo de Moura
a065c7bf96
test(tests/lean/run/tree_height): experiment with wf relation based on the height
...
This is easier to generate than the subterm relation
2014-11-18 17:57:17 -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
e77cd59368
refactor(library/logic): add basic definitions for relations at logic/relation.lean
...
We need them for wf and definitional package
2014-11-18 17:32:22 -08:00
Leonardo de Moura
5fbe990c7a
test(tests/lean/run): define div using wf package
2014-11-18 13:55:58 -08:00
Leonardo de Moura
99c30db805
feat(library/data/fin): add fin type
2014-11-17 23:44:57 -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
Jakob von Raumer
fdafb1c11f
fix(library/hott) adapt trunc.lean to missing equiv coercion
2014-11-17 18:39:02 -08:00
Jakob von Raumer
59fbe8b53e
chore(library/hott) fix universe issue. note: this should be fixed when contr is not bound to universe level 1 anymore
2014-11-17 18:39:02 -08:00
Jakob von Raumer
992aad9661
feat(library/hott) postcomposition from ua lemma is done up to the last gap
2014-11-17 18:39:02 -08:00
Jeremy Avigad
4420f0dc0c
feat(library/algebra/group): add ordered semigroups
2014-11-17 18:32:14 -08:00
Leonardo de Moura
5daff18017
test(tests/lean/run): pre-quotient experiment
2014-11-17 18:30:11 -08:00
Leonardo de Moura
3cd3da5a84
refactor(library/data/prod/wf): remove duplication, and import wf's for sigma and prod
2014-11-16 21:19:10 -08:00
Leonardo de Moura
28c63e685b
feat(frontends/lean): add '[local]' notation, closes #322
2014-11-16 21:15:04 -08:00
Leonardo de Moura
b7725c2949
feat(library/data/sigma/wf): define 'lex' for 'sigma' types and prove wf theorem
2014-11-16 20:08:52 -08:00
Leonardo de Moura
dd0b1ecdbf
refactor(library/data/sigma): break file into smaller pieces to reduce dependencies
2014-11-16 18:22:03 -08:00
Leonardo de Moura
e81d9c9184
perf(kernel/level): apply two simple normalization rules at mk_max
...
They are variations of:
max l1 (max l1 l2) == (max l1 l2)
2014-11-16 18:16:57 -08:00
Leonardo de Moura
53ac754328
refactor(library/data/option): cleanup using 'no_confusion'
2014-11-16 17:56:51 -08:00
Leonardo de Moura
de209f929e
feat(library/data/prod/wf): define relational product and prove wf theorem for it
2014-11-16 17:47:07 -08:00
Leonardo de Moura
bf5f48730c
refactor(library/data/subtype): define subtype using 'structure' command
2014-11-16 15:01:14 -08:00
