Floris van Doorn
876aa20ad6
feat(hott): Port remainder of §6.3 and §7.2 from the HoTT book
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Also prove a theorem similar to Lemma 7.3.1
There are still some sorry's in hit.suspension
2015-06-04 20:14:12 -04:00
Floris van Doorn
883b4fedb9
feat(hott): start with proof to characterize (is_trunc n A) using iterated loop spaces
2015-06-04 20:14:12 -04:00
Floris van Doorn
4117455e97
feat(hott): redefine nat.le and nat.lt
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also some minor modifications in other files
2015-06-04 20:14:12 -04:00
Leonardo de Moura
dc6411b903
feat(library/inductive_unifier_plugin): restrict rule that was generating non-terminating behavior
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see issue #632
2015-05-27 14:41:12 -07:00
Floris van Doorn
c64d73aae4
feat(types.nat): prove that inequalities on nat are mere propositions
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Also some small changes in various other locations
2015-05-26 21:37:01 -07:00
Floris van Doorn
0b12d51b25
feat(hott): use pathovers in all the recursors of hits
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move pathover file to the init folder
2015-05-26 21:37:01 -07:00
Jeremy Avigad
33214f0895
refactor(hott/*): remove 'Module:' lines
2015-05-23 20:52:58 +10:00
Floris van Doorn
2144036cdb
feat(hott.circle): prove that the fundamental group of the circle is equal to the integers, as groups
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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
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see discussion at #604
2015-05-18 15:45:23 -07:00
Floris van Doorn
7cfac38eda
feat(hott): port parts of natural numbers and integers from standard library to HoTT
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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
e5241f84ec
fix(init.datatypes): make empty live in Type.{0}
2015-05-07 16:39:03 -07:00
Floris van Doorn
297d50378d
feat(hott): add definitions using truncations and theorems about them
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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
15c2ee289f
feat(hott): make some fibrations in path.hlean implicit, and a bit of renaming in init
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
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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
23e6a3131d
feat(precategory): add two redundant fields to precategory. Also some cleanup.
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In particular, all instances of "set_option apply.class_instance false" are removed
2015-04-29 10:04:06 -07:00
Floris van Doorn
052fbe0228
refactor(hott.init): remove subdirectories, merge some files
2015-04-29 10:04:06 -07:00
Floris van Doorn
86012d841b
fix(hott): make f explicit in is_equiv.mk and a bit of renaming in init
2015-04-29 10:04:06 -07:00
Leonardo de Moura
bf8a7eb9b4
fix(library/scoped_ext): bug in local metadata in sections
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The problem is described in issue #554
2015-04-21 18:56:28 -07:00
Floris van Doorn
c914b79341
feat(hott/algebra/category): show that functor category is univalent if codomain is
2015-03-16 17:15:51 -07:00
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
f513538631
feat(hott): more cleanup of HoTT library
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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
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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
1cd44e894b
feat(library/tactic/class_instance_synth): conservative class-instance resolution: expand only definitions marked as reducible
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closes #442
2015-02-24 16:12:35 -08:00
Floris van Doorn
61901cff81
feat(hott): rename definition and cleanup in HoTT library
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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
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
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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
Jakob von Raumer
0e34a1838d
feat(hott) create new file with advanced truncatedness lemmas
2015-01-03 22:31:39 -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
Jakob von Raumer
a02cc1aff9
chore(hott) fix init
2014-12-16 13:11:32 -08:00
