Floris van Doorn
816237315c
feat(hott): various additions, especially for pointed maps/homotopies/equivalences
2016-02-22 11:15:38 -08:00
Leonardo de Moura
30d6853ffd
refactor(hott,tests): make sure HoTT library and tests still work if we introduce checkpoints in have-expressions
2016-02-04 16:58:32 -08:00
Leonardo de Moura
42fbc63bb6
fix(library/tc_multigraph): avoid name collisions
...
@avigad, @fpvandoorn, @rlewis1988, @dselsam
I changed how transitive instances are named.
The motivation is to avoid a naming collision problem found by Daniel.
Before this commit, we were getting an error on the following file
tests/lean/run/collision_bug.lean.
Now, transitive instances contain the prefix "_trans_".
It makes it clear this is an internal definition and it should not be used
by users.
This change also demonstrates (again) how the `rewrite` tactic is
fragile. The problem is that the matching procedure used by it has
very little support for solving matching constraints that involving type
class instances. Eventually, we will need to reimplement `rewrite`
using the new unification procedure used in blast.
In the meantime, the workaround is to use `krewrite` (as usual).
2016-02-04 13:15:42 -08:00
Floris van Doorn
3409deecdb
chore(hott): update md files, move port.md
2016-01-24 16:34:45 -08:00
Floris van Doorn
74366aa061
fix(hott): change some theorems to definitions
...
This ensures that the HoTT library compiles with the option --to_axiom
2015-12-17 12:46:16 -08:00
Floris van Doorn
c852f7bc71
feat(hott): use the induction tactic for trunc at some places
2015-12-17 12:46:16 -08:00
Floris van Doorn
da5f10ce63
feat(hott): minor fixes. allow the usage of numerals for trunc_index
2015-12-17 12:46:16 -08:00
Sebastian Ullrich
2185ee7e95
feat(library/tactic): make let tactic transparent, introduce new opaque note tactic
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The new let tactic is semantically equivalent to let terms, while `note`
preserves its old opaque behavior.
2015-12-14 10:14:02 -08:00
Floris van Doorn
4ef58f1ba5
chore(hott): more cleanup.
...
Make zero and one reducible (see algebra/port.md)
Change some theorems which need to compute into definitions
2015-12-10 10:42:16 -08:00
Floris van Doorn
c968f920ba
chore(hott): cleanup
2015-12-10 10:42:16 -08:00
Floris van Doorn
2325d23f68
feat(hott): port nat and int from the standard library
2015-12-09 12:36:11 -08:00
Floris van Doorn
46739c8b70
feat(hott/algebra): port abstract structures
2015-12-09 12:34:06 -08:00
Floris van Doorn
fe8a858d79
feat(hott): add recursor to refl_quotient
2015-11-22 18:29:37 -08:00
Floris van Doorn
ae92e8c94d
feat(hit/two_quotient): give dependent eliminator for two_quotients
2015-11-22 18:29:37 -08:00
Floris van Doorn
74aff044ef
feat(group): port three more theorems from the standard library
2015-11-22 14:21:26 -08:00
Floris van Doorn
5abc450fad
feat(list): port list.basic from the standard library
2015-11-22 14:21:26 -08:00
Floris van Doorn
88a62f8e74
feat(algebra|types): small additions
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add to markdown file for algebra, and add some definitions in types/
2015-11-22 14:21:25 -08:00
Floris van Doorn
5328486d49
feat(hit): add elimination rule to propositions
2015-11-22 14:21:25 -08:00
Floris van Doorn
45d808ce7f
feat(homotopy/circle): give all higher homotopy groups of the circle
2015-11-22 14:21:25 -08:00
Leonardo de Moura
491c7c55e1
feat(library/simplifier/simp_rule_set): add priorities for simp and congr rules
2015-11-16 22:34:06 -08:00
Floris van Doorn
9e492a8771
feat(category): more about adjoint functors
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This commit has multiple unfinished proofs (commented out)
2015-11-16 21:32:09 -08:00
Floris van Doorn
f866f71491
feat(algebra/e_closure): add some support for dependent elimination of two_quotients
2015-11-16 21:32:09 -08:00
Floris van Doorn
206bcd4b2a
feat(algebra/homotopy_group): define homotopy groups
2015-11-16 21:32:09 -08:00
Floris van Doorn
5c1bf1e777
fix(hott): delete empty file
2015-11-16 21:32:09 -08:00
Floris van Doorn
e00ccff6de
fix(hott): make sure the HoTT library compiles with --to_axiom
2015-11-16 21:32:09 -08:00
Leonardo de Moura
5ceac83b6a
feat(frontends/lean/elaborator): restrict the number of places where coercions are considered
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We do not consider coercions around meta-variables anymore.
2015-11-11 12:37:19 -08:00
Leonardo de Moura
9bedbbb739
refactor(library,hott): remove coercions between algebraic structures
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They are classes, and mixing coercion with type class resolution is a
recipe for disaster (aka counterintuitive behavior).
2015-11-11 11:57:44 -08:00
Floris van Doorn
4828afa781
fix(hott): small fixes after rebasing
2015-11-08 14:04:59 -08:00
Floris van Doorn
5e4441cb43
fix(functor.equivalence): comment out sorry's
2015-11-08 14:04:59 -08:00
Floris van Doorn
49cb516c71
feat(category.limit): prove that the limit functor is right adjoint to the diagonal map
2015-11-08 14:04:59 -08:00
Floris van Doorn
36dfb61a3e
feat(category.limits): prove that yoneda preserves limits
2015-11-08 14:04:59 -08:00
Floris van Doorn
46dba4ee5e
refactor(category): move some files to subfolders, and create file with basic functors
2015-11-08 14:04:59 -08:00
Floris van Doorn
e14754a337
feat(category): start on proof of yoneda preserves limits and limit functor is left adjoint
2015-11-08 14:04:59 -08:00
Floris van Doorn
f2d07ca23c
feat(category): various small changes in category theory
2015-11-08 14:04:59 -08:00
Floris van Doorn
de1c47eda9
feat(categories): add exponential laws for categories
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also give nicer rules to construct equalities between (pre)categories
2015-11-08 14:04:59 -08:00
Floris van Doorn
0e7b7af1da
refactor(category): add new folder functor, split adjoint file into separate files
2015-11-08 14:04:59 -08:00
Floris van Doorn
3f0d8c0a8c
feat(category.adjoint): prove more about functors
2015-11-08 14:04:58 -08:00
Floris van Doorn
18ec5f8b85
feat(categories): prove introduction rule for equivalences
2015-11-08 14:04:58 -08:00
Floris van Doorn
448178a045
feat(category.functor2): prove that the category of functors is complete and cocomplete if the codomain is
2015-11-08 14:04:58 -08:00
Floris van Doorn
3b7afad6ad
feat(category.hset): prove that the category of sets is cocomplete
2015-11-08 14:04:58 -08:00
Floris van Doorn
c7fd29f854
feat(category): start with the introduction rule for equivalences
2015-11-08 14:04:58 -08:00
Leonardo de Moura
d1e111fd6c
fix(hott,frontends/lean,library,library/tactic): make sure we can still compile the HoTT library
2015-11-08 14:04:55 -08:00
Leonardo de Moura
744d1cba3d
feat(library,hott,frontends/lean): avoid keywords with hyphen
2015-11-08 14:04:54 -08:00
Floris van Doorn
115dedbd1c
fix(hott): notation spacing and markdown files
2015-10-02 16:26:10 -07:00
Floris van Doorn
2264759060
feat(category): define colimits as dual of limits
2015-09-28 09:09:22 -07:00
Floris van Doorn
df73931a6d
feat(category.opposite): prove that the opposite of a univalent category is univalent
2015-09-28 09:09:22 -07:00
Floris van Doorn
099bd95ebd
feat(category.limits): prove that being complete is a mere proposition for categories
2015-09-28 09:09:22 -07:00
Floris van Doorn
51edd0ad1d
feat(category.constructions.hset): prove that the category of sets is complete
2015-09-28 09:09:22 -07:00
Floris van Doorn
f82d1bd566
feat(category): add limits in a category
2015-09-28 09:09:22 -07:00
Floris van Doorn
6e23305c5d
feat(category): define terminal, initial, indiscrete and sum category
2015-09-28 09:09:21 -07:00
