Commit graph

224 commits

Author SHA1 Message Date
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
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
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
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
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
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
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
Floris van Doorn
e84b22864f feat(hott): various changes in the HoTT library 2015-09-11 23:35:21 -07:00
Floris van Doorn
bd3aa9cf54 feat(category): prove Theorem 9.5.9 from the HoTT book 2015-09-11 23:35:21 -07:00
Floris van Doorn
1a3b363467 feat(category): prove that the yoneda embedding is an embedding 2015-09-11 23:35:21 -07:00
Floris van Doorn
fd89aa77a3 feat(hott): prove Yoneda lemma 2015-09-11 23:35:21 -07:00
Leonardo de Moura
cae2271818 refactor(hott/algebra/category/adjoint): rewrite expensive proof
see #815
2015-09-01 16:59:14 -07:00
Floris van Doorn
a8964adb9c fix(hott): make sure there are no sorry's visible 2015-09-01 15:17:46 -07:00
Floris van Doorn
7e52c49dce feat(hott): many changes is the HoTT library
Prove that 'is_left_adjoint F' is a mere proposition, although this proof is commented out because it takes ~10 seconds
2015-09-01 15:17:46 -07:00
Floris van Doorn
ad5cda48a8 refactor(hott): move cubical folder and files eq2, function and hprop_trunc from types/ to the root HoTT directory 2015-08-07 13:34:41 -07:00
Floris van Doorn
189293b5d4 fix(init.path): rename transport_compose to tr_compose 2015-08-07 13:34:41 -07:00
Floris van Doorn
0ec525a8ee feat(two_quotient): finish proof of elim_incl2 2015-08-07 13:34:40 -07:00
Floris van Doorn
7a780b1b60 feat(hott): various minor changes in the HoTT library 2015-08-04 13:01:11 +02:00
Leonardo de Moura
b3cd3efbb4 refactor(hott): fix "sorry"s at int/basic.hlean, and comment the remaining "sorry"s 2015-07-27 08:34:11 -07:00
Leonardo de Moura
584f9e3f49 fix(library/tactic/unfold_rec): support indexed families at unfold_rec
This commit also removes many (now unnecessary) folds from the HoTT
library.

See issue #692

We still have to implement support for recursive definitions based on
brec_on that recurse over inductive families.
2015-07-12 12:32:58 -04:00
Leonardo de Moura
4b1b3e277f feat(frontends/lean): rename '[unfold-c]' to '[unfold]' and '[unfold-f]' to '[unfold-full]'
see issue #693
2015-07-07 16:37:06 -07:00
Leonardo de Moura
de90926eed refactor(hott): adjust HoTT library to new support for projections 2015-06-26 17:18:30 -07:00
Floris van Doorn
c8eee66c5b feat(hott/relation): add equivalence closure of a relation 2015-06-25 22:31:41 -04:00
Floris van Doorn
124c9d3d8a feat(hott): various cleanup and fixes, rename \~ to ~, expand types.pointed 2015-06-25 22:31:40 -04:00
Floris van Doorn
fa1979c128 feat(datatypes): let the type of unit be the lowest non-Prop universe
The definitional package (brec_on and cases_on) now use poly_unit instead of unit

closes #698
2015-06-25 17:33:46 -07:00
Leonardo de Moura
cfafc90cc0 refactor(hott,library): make sure files compile even without using "projection macros" 2015-06-22 12:22:11 -07:00
Leonardo de Moura
e382f7c2f9 refactor(hott/algebra/field): cleanup
use same definition used in the standard library.
2015-06-21 15:58:54 -07:00
Leonardo de Moura
5830d7d037 refactor(hott/algebra/category/yoneda): reduce compilation time using 'rewrite' tactic 2015-06-18 15:52:08 -07:00
Jeremy Avigad
3b010b8c92 feat({library,hott}/algebra/group): add abbreviations e.g. for mul.cancel_left 2015-06-15 22:53:11 +10:00
Leonardo de Moura
62e1be897c test(hott/algebra/category): test new 'abstract ... end' expression in the HoTT library 2015-06-12 17:53:01 -07:00
Leonardo de Moura
8b7dc4e03a feat(frontends/lean): apply eta-reduction in postprocessing step
Perhaps, we should add an option to disable this new feature.

Remark: this commit makes commit 46d418a redundant.
I'm keeping 46d418a because we may retract this commit in the future.
2015-06-10 16:29:30 -07:00
Jeremy Avigad
fabdae6d54 refactor(hott/algebra/ring.lean,ordered_ring.lean): rename some theorems 2015-06-01 12:35:44 +10:00
Leonardo de Moura
6f6848968d feat(frontends/lean/coercion_elaborator): "coercion lifting" for backtracking case
closes #252
2015-05-30 16:44:26 -07:00
Floris van Doorn
4a29f4bdd4 feat(types): incorporate pathovers in the files of the types folder
Conflicts:
	hott/cubical/pathover.hlean
2015-05-26 21:37:01 -07:00
Floris van Doorn
0b12d51b25 feat(hott): use pathovers in all the recursors of hits
move pathover file to the init folder
2015-05-26 21:37:01 -07:00
Floris van Doorn
54ed8a8e76 feat(hott): small changes in init and category 2015-05-26 21:37:01 -07:00
Jeremy Avigad
33214f0895 refactor(hott/*): remove 'Module:' lines 2015-05-23 20:52:58 +10:00
Jeremy Avigad
d33c91d7b9 fix({hott,library}/algebra/*): fix names 2015-05-23 14:05:06 +10:00
Leonardo de Moura
e1c2340db2 fix(frontends/lean): consistent behavior for protected declarations
see https://github.com/leanprover/lean/issues/604#issuecomment-103265608

closes #609
2015-05-18 22:35:18 -07:00
Floris van Doorn
c430d1d5ba feat(category.constructions): define comma category 2015-05-18 15:59:55 -07:00
Floris van Doorn
eedf1992bf feat(functor): prove sorry's, and shorten some proofs 2015-05-18 15:59:55 -07:00
Floris van Doorn
2144036cdb feat(hott.circle): prove that the fundamental group of the circle is equal to the integers, as groups
Also many minor fixes at various places
2015-05-18 15:59:55 -07:00
Leonardo de Moura
19361f0196 feat(library/unifier): do not fire type class resolution as last resort when type contains metavariables
see discussion at #604
2015-05-18 15:45:23 -07:00
Leonardo de Moura
0b57f7d00a refactor(library/tactic): refine interface between tactic and proof-term modes
Some constraints were being lost with the previous interface.
This is why we had a workaround in fintype.lean.

We can also remove some hacks we have used in the past.
2015-05-07 18:02:51 -07:00
Floris van Doorn
7cfac38eda feat(hott): port parts of natural numbers and integers from standard library to HoTT
This also involves:
- adding definitions about logic and natural numbers existing in the standard library to init
- porting the current algebraic hierarchy
2015-05-07 16:39:03 -07:00
Floris van Doorn
90f1a691fd feat(hott): change notation of transport to correspond with standard library 2015-05-07 16:39:03 -07:00
Floris van Doorn
8b4756f9c8 feat(hott): port nat from standard library to HoTT library; make script to port files 2015-05-07 16:39:03 -07:00
Leonardo de Moura
21ee0a5ff9 refactor(hott/algebra/category/constructions/functor): cleanup proof 2015-05-07 15:29:02 -07:00
Leonardo de Moura
4e1146a2d5 refactor(hott,library): test new tactics in the HoTT and standard libraries 2015-05-02 22:22:31 -07:00
Leonardo de Moura
9ba8b284a1 fix(library/tactic/apply_tactic): add eapply, and fix issue #361 2015-05-01 15:08:00 -07:00
Leonardo de Moura
3912bc24c8 feat(frontends/lean): nicer syntax for 'intros' 'reverts' and 'clears' 2015-04-30 11:00:39 -07:00
Floris van Doorn
297d50378d feat(hott): add definitions using truncations and theorems about them
define embedding, (split) surjection, retraction, existential quantifier, 'or' connective
also add a whole bunch of theorems about these definitions

still has two sorry's which can be solved after #564 is closed
2015-04-29 10:04:07 -07:00
Floris van Doorn
40086d0084 feat(hott): standardize the naming of definitions proving equality of elements of a structure
examples:
foo_eq : Pi {A B : foo}, _ -> A = B
foo_mk_eq : Pi _, foo.mk _ = foo.mk _ (if constructor is called "bar", then this becomes "bar_eq")
foo_eq_equiv : Pi {A B : foo}, (A = B) ≃ _

also changed priority of some instances of is_trunc
2015-04-29 10:04:06 -07:00
Floris van Doorn
b70841171a fix(hott): rename retr and sect to right_inv and left_inv 2015-04-29 10:04:06 -07:00
Floris van Doorn
797a2d2047 refactor(category): merge precategory/ and category/, organize construction files differently. 2015-04-29 10:04:06 -07:00
Floris van Doorn
23e6a3131d feat(precategory): add two redundant fields to precategory. Also some cleanup.
In particular, all instances of "set_option apply.class_instance false" are removed
2015-04-29 10:04:06 -07:00
Floris van Doorn
e769fdd9dc feat(hott): make some arguments in init.path implicit and rename apD to apd 2015-04-29 10:04:06 -07:00
Leonardo de Moura
dcc94dde82 refactor(kernel): rename may_reduce_later to is_stuck, and make is_stuck more precise
It now reflects the definition used in the elaboration paper.
2015-04-27 11:20:15 -07:00