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178 commits

Author SHA1 Message Date
Floris van Doorn
704f2b2697 feat(hott/algebra/category): prove that set is a univalent category assuming is_equiv is an hprop 2015-03-04 00:22:41 -05:00
Floris van Doorn
5b922aad5c feat(init): add 'do' tactic 2015-03-04 00:17:41 -05:00
Floris van Doorn
da9b134dd8 feat(hott/types): start with proof that is_equiv is an hprop 2015-03-04 00:14:18 -05:00
Leonardo de Moura
e40e2f0677 feat(hott/init): define num.sub in the HoTT library 2015-03-03 16:22:59 -08:00
Leonardo de Moura
ca57b43698 feat(library/tactic): add 'change' tactic 2015-03-01 14:15:39 -08:00
Floris van Doorn
1559e0e58c feat(hott): some more renaming in category library 2015-02-28 01:16:23 -05:00
Floris van Doorn
326eaffafb style(hott/algebra): rename theorems in the HoTT category libraries 2015-02-28 01:16:23 -05:00
Floris van Doorn
23a248ab28 style(hott): let inverse notation have higher binding power than application 2015-02-28 01:16:23 -05:00
Floris van Doorn
219f7ae11a feat(hott/algebra/precategory): general cleanup in precategories, define uncurrying functor 2015-02-28 01:16:23 -05:00
Floris van Doorn
f513538631 feat(hott): more cleanup of HoTT library 
remove funext class,
remove a couple of sorry's,
add characterization of equality in trunctypes,
use Jeremy's format for headers everywhere in the HoTT library,
continue working on Yoneda embedding
 2015-02-26 13:19:54 -05:00
Floris van Doorn
c091acc55b feat(hott): remove funext as type class, add theorems to prove equalities between functors and natural transformations 2015-02-26 12:52:33 -05:00
Floris van Doorn
9201bd7ca6 feat (hott/init): move nat.of_num to init.num and make it reducible outside namespace nat 
This is so that init.trunc can already use nat.of_num.
Also make nat.of_num reducible in the standard library
Also make gt and ge abbreviations
 2015-02-26 12:28:57 -05:00
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
e513b0ead4 refactor(library,hott): rename theorems for decidable and inhabited 
The convention is this: we use e.g. nat.is_inhabited and nat.has_decidable_eq
for these two purposes only, to avoid clashing with "inhabited" and "decidable_eq"
in a namespace. Otherwise, we use "decidable_foo" and "inhabited_foo".
 2015-02-25 14:05:07 -08:00
Leonardo de Moura
d5538ddf19 refactor(hott/algebra/precategory/morphism): reduce compilation time using rewrite tactic 2015-02-25 14:04:17 -08:00
Leonardo de Moura
3ede8e9150 refactor(library): use [] binder annotation when declaring instances 2015-02-24 16:12:39 -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
3846f5a4e7 refactor(hott): use nested begin-end blocks, use cases tactic 2015-02-24 13:27:57 -08:00
Leonardo de Moura
d1ba9ba1dd feat(hott/types/sigma): simplify file using 'cases' tactic, definitional package and rewrite tactic 
Simpler version is also faster.
On my notebook, the runtime was 2.8 secs before, and 1.1 secs after changes
 2015-02-23 23:28:28 -08:00
Floris van Doorn
61901cff81 feat(hott): rename definition and cleanup in HoTT library 
also add more definitions in types.pi, types.path, algebra.precategory

the (pre)category library still needs cleanup
authors of this commit: @avigad, @javra, @fpvandoorn
 2015-02-20 21:40:42 -05:00
Leonardo de Moura
421a30d75c feat(library): export [reducible] annotations from function namespace to top-level 
see issue #433
 2015-02-16 18:52:41 -08:00
Jakob von Raumer
80e1ac2c4f feat(hott/algebra): make lemmas about isomorphisms accept more iso parameters. new lemmas about groupoids 2015-02-13 09:28:33 -08:00
Leonardo de Moura
a35cce38b3 feat(frontends/lean): new semantics for "protected" declarations 
closes #426
 2015-02-11 14:09:25 -08:00
Leonardo de Moura
0f34f4d4a1 fix(hott): adjust library to new apply tactic semantics 2015-02-06 17:27:56 -08:00
Leonardo de Moura
b4dd2cc729 refactor(library/tactic/rewrite_tactic): more general rewrite step 
The rule can be an arbitrary expression.
Allow user to provide a pattern that restricts the application of the rule.
 2015-02-04 11:51:39 -08:00
Leonardo de Moura
c845e44777 feat(frontends/lean): parse rewrite tactic 2015-02-04 11:51:39 -08:00
Leonardo de Moura
855050e623 feat(frontends/lean/calc_proof_elaborator): try conservative alternatives first 2015-01-31 21:29:34 -08:00
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
Leonardo de Moura
abc64fbab8 refactor(library/algebra/group): remove unnecessary symm 2015-01-20 16:20:47 -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
Leonardo de Moura
2e4a2451e6 refactor(library/reducible): simplify reducible/irreducible semantics 2015-01-08 18:52:18 -08:00
Jakob von Raumer
e11c401d79 fix(hott/algebra) comment unfinished proofs out for later completion 2015-01-03 22:31:40 -08:00
Jakob von Raumer
4de1a07324 chore(hott/algebra) maybe use only lower case file names 2015-01-03 22:31:40 -08:00
Jakob von Raumer
334db4ec1e feat(hott/algebra) start to formalize the category of sets (seems to be pretty tough) 2015-01-03 22:31:40 -08:00
Jakob von Raumer
f59c2559b6 feat(hott/algebra) add proof that functors into strict cats form an hset 2015-01-03 22:31:39 -08:00
Jakob von Raumer
0faf585773 feat(hott) start characterizing truncatedness by sigma and pi types 2015-01-03 22:31:39 -08:00
Jakob von Raumer
0e34a1838d feat(hott) create new file with advanced truncatedness lemmas 2015-01-03 22:31:39 -08:00
Jakob von Raumer
0915da6625 chore(hott/algebra) modify the proof that taking the dual category is involutive 2015-01-03 22:31:39 -08:00
Jakob von Raumer
428a2b6f58 chore(hott/algebra) complete the sigma characterization 2015-01-03 22:31:39 -08:00
Jakob von Raumer
4af0a911b3 feat(hott/algebra) finish functor category up to that missing sigma characterization 2015-01-03 22:31:39 -08:00
Jakob von Raumer
31d1076bd7 fix(hott/algebra) fix some proofs for functor category 2015-01-03 22:31:39 -08:00
Jakob von Raumer
31b3bbe5cb chore(hott/init/axioms) remove +1 in universe levels from axioms 2015-01-03 22:31:39 -08:00
Jakob von Raumer
98803406cc chore(hott/algebra) add sigma characterization of functors, turn functors into structures 2015-01-03 22:31:39 -08:00
Jakob von Raumer
004a01629a feat(hott) add preliminary axiomatized truncation operator 2015-01-03 22:31:39 -08:00
Jakob von Raumer
0a1aab9ff9 chore(hott) make univalence an axiom again 2015-01-03 22:31:39 -08:00
Leonardo de Moura
d2958044fd feat(frontends/lean): add multiple_instances command 
After this commit, Lean "cuts" the search after the first instance is
computed. To obtain the previous behavior, we must use the new command

          multiple_instances <class-name>

closes #370
 2014-12-21 17:28:44 -08:00
Leonardo de Moura
0627ad2f56 feat(hott/init/nat): add basic facts about natural numbers 2014-12-20 11:32:27 -08:00
Leonardo de Moura
d75ef7a07a feat(hott/init/types): add 'sum' notation 2014-12-20 11:32:27 -08:00
Leonardo de Moura
6843fe3a8b refactor(hott/init): 'prod' and 'sum' notation should be infix right like 'and' and 'or' 2014-12-20 11:32:27 -08:00
Leonardo de Moura
187f4483e9 refactor(hott/init/util.hlean): modify definition to make it more convenient for definitional package 2014-12-19 22:00:25 -08:00
Leonardo de Moura
2e93e5d6a7 fix(hott/init): minimize number of universe parameters 2014-12-19 22:00:25 -08:00
Leonardo de Moura
f93278eab8 fix(hott/init/hedberg): remove unnecessary import 2014-12-19 19:01:07 -08:00
Leonardo de Moura
2521dbb39e refactor(hott): use same name convention for sigma in the HoTT and standard libraries 2014-12-19 18:46:06 -08:00
Leonardo de Moura
69191ef9b7 feat(hott/init/datatypes): add sum.intro_left and sum.intro_right aliases 2014-12-19 17:56:44 -08:00
Leonardo de Moura
3d2d5839a1 feat(hott/init): add auxiliary definition needed by definitional package 2014-12-19 14:22:03 -08:00
Leonardo de Moura
582c1f8458 feat(hott/init): add proof for Hedberg's theorem 2014-12-19 13:54:12 -08:00
Jakob von Raumer
71cffd29a0 chore(hott) minor corrections 2014-12-16 13:11:32 -08:00
Jakob von Raumer
9607518ce0 chore(hott) reflect @avigad's name changes in the std library 2014-12-16 13:11:32 -08:00
Jakob von Raumer
503048226e chore(hott) fix the types and algebra 2014-12-16 13:11:32 -08:00
Jakob von Raumer
341a3d4411 chore(hott) add function.hlean to init 2014-12-16 13:11:32 -08:00
Jakob von Raumer
a02cc1aff9 chore(hott) fix init 2014-12-16 13:11:32 -08:00
Jakob von Raumer
dae2aeb605 chore(hott) fix file endings 2014-12-16 13:11:32 -08:00
Jakob von Raumer
402622ac91 chore(hott) try to move library 2014-12-16 13:11:32 -08:00
Leonardo de Moura
8ad9b84c85 feat(init): reserve notation for "not in" 2014-12-15 19:22:17 -08:00
Leonardo de Moura
ad9620f325 feat(hott/init): add notation for sigma types 2014-12-09 15:41:18 -08:00
Leonardo de Moura
41c6914e48 refactor(hott/init): mark theorems load by initialization as transparent 2014-12-08 12:12:19 -08:00
Leonardo de Moura
beef85289a feat(hott/init): add lift to initialization 2014-12-08 12:09:41 -08:00
Leonardo de Moura
ec7f90cb16 feat(hott/init): make sure eq is universe polymorphic 
Jakob and Floris needed path equality to be universe polymorphic when
proving univalence.
 2014-12-06 09:43:42 -08:00
Leonardo de Moura
94a825c472 feat(hott/init): add wf and prod to HoTT initialization 2014-12-05 21:48:08 -08:00
Leonardo de Moura
5e9ed30e7d feat(hott/init/prod): show lex is well-founded in HoTT 2014-12-05 21:46:17 -08:00
Leonardo de Moura
cf7dd60442 feat(hott/init): add well-founded recursion to HoTT library 2014-12-05 21:36:34 -08:00
Leonardo de Moura
1dc0790004 feat(hott/init): add initialization files 2014-12-05 15:47:04 -08:00
Leonardo de Moura
eb87c18693 feat(*): add support for separate HoTT library 2014-12-05 14:34:02 -08:00