Frederik Hanghøj Iversen
ffedb83210
Initial objects are also propositional
2018-03-29 14:31:58 +02:00
Frederik Hanghøj Iversen
52ac9b4b78
Terminal objects are propositional
2018-03-29 14:26:47 +02:00
Frederik Hanghøj Iversen
af25db7e31
Merge remote-tracking branch 'Saizan/dev' into dev
2018-03-29 13:36:09 +02:00
Frederik Hanghøj Iversen
2f6b129ed6
Move proposal to report, use xelatex
2018-03-29 13:32:48 +02:00
Frederik Hanghøj Iversen
8752b1435d
Update report
2018-03-29 13:32:06 +02:00
Andrea Vezzosi
8ac6b97213
isProp (Product C A B) setup
2018-03-29 00:07:49 +02:00
Frederik Hanghøj Iversen
facd1167e0
Fix unique existential
2018-03-27 14:18:13 +02:00
Frederik Hanghøj Iversen
b7a80d0b86
Proof: Being an initial- terminal- object is a mere proposition
...
Also tries to use this to prove that being a product is a mere
proposition
2018-03-27 12:20:24 +02:00
Frederik Hanghøj Iversen
9898685491
Prove that the opposite category is a category
2018-03-26 14:11:15 +02:00
Frederik Hanghøj Iversen
d3864dbae5
Move properties about natural transformations to that module
2018-03-23 15:20:26 +01:00
Frederik Hanghøj Iversen
ef688202a2
Move identity functor laws to functor module...
...
and make progress on univalence in the functor category
2018-03-23 13:55:03 +01:00
Frederik Hanghøj Iversen
a713d560d5
Preview target
2018-03-23 11:33:55 +01:00
Frederik Hanghøj Iversen
1dde3f8e74
Restructure latex-stuff
2018-03-23 11:22:17 +01:00
Frederik Hanghøj Iversen
8ff93e04ec
Move proposal to doc/
2018-03-23 11:13:52 +01:00
Frederik Hanghøj Iversen
c8c61a8d03
Half-time report
2018-03-23 11:11:44 +01:00
Frederik Hanghøj Iversen
96fb1d3a3b
Formatting
2018-03-23 10:08:28 +01:00
Frederik Hanghøj Iversen
73c3b35631
Merge branch 'dev'
2018-03-22 14:52:01 +01:00
Frederik Hanghøj Iversen
4ae898dfe0
Update backlog and changelog
2018-03-22 14:51:43 +01:00
Frederik Hanghøj Iversen
ac01b786a7
Cleanup
2018-03-22 14:27:16 +01:00
Frederik Hanghøj Iversen
ebcab2528e
Prove second inverse law for from/to-isomorphism
2018-03-22 13:49:53 +01:00
Frederik Hanghøj Iversen
0246c1b5ab
Readability
2018-03-22 12:25:12 +01:00
Frederik Hanghøj Iversen
d816ba657b
QED! Show that the category of homotopic sets are univalent.
2018-03-22 12:11:27 +01:00
Frederik Hanghøj Iversen
52ca0b6732
Merge remote-tracking branch 'Saizan/dev' into dev
2018-03-22 11:54:22 +01:00
Frederik Hanghøj Iversen
d12122ce60
Add another approach for univalence in Set
2018-03-22 11:50:07 +01:00
Andrea Vezzosi
66ab7138a6
generalized lem3 and made progress for Sets univalence
2018-03-22 10:41:38 +00:00
Frederik Hanghøj Iversen
807a0f3dcd
Slight readability improvement
2018-03-21 18:05:25 +01:00
Frederik Hanghøj Iversen
181edc0cd5
Prove step 3 in proof of unvivalence for hSet without ua
2018-03-21 17:52:32 +01:00
Frederik Hanghøj Iversen
8f67ff9f36
Use explicit parameter for hSet
2018-03-21 15:01:31 +01:00
Frederik Hanghøj Iversen
ae0ff092f8
Use prelude everywhere
2018-03-21 14:56:43 +01:00
Frederik Hanghøj Iversen
29f45d1426
Delete equality module
2018-03-21 14:47:01 +01:00
Frederik Hanghøj Iversen
183906dc8c
Define and use custom prelude
2018-03-21 14:39:56 +01:00
Frederik Hanghøj Iversen
084befbbc6
Merge remote-tracking branch 'Saizan/dev' into dev
...
From Andrea:
The problem with "h" there is that ve-re is building a square, "(qq0 j
, h)" is a fine element of the sigma type, but it does not really
connect "(g ∘ f) e" to "e" across dimension "i", in particular it does
not reduce to "e" when "i" is "i1".
2018-03-21 13:31:28 +01:00
Frederik Hanghøj Iversen
cd3514c8cf
Formatting
2018-03-21 13:25:24 +01:00
Andrea Vezzosi
ed3b3047e6
Progress on univalence for sets.
2018-03-21 12:00:47 +00:00
Frederik Hanghøj Iversen
890154a81d
Simplify qualified imports, change make-target: clean
2018-03-21 12:28:26 +01:00
Frederik Hanghøj Iversen
e98ed89db5
Make propositionality a submodule of the actual proposition
2018-03-21 12:21:47 +01:00
Frederik Hanghøj Iversen
4beb48e066
Use correct order for left- and right identity
...
Define and use helpers left- and right identity
2018-03-21 11:58:50 +01:00
Frederik Hanghøj Iversen
71d9acff9a
Stuff about half-time report
2018-03-21 11:58:50 +01:00
Frederik Hanghøj Iversen
31257a4d97
Do not export helpers in Fun
2018-03-21 11:58:50 +01:00
Frederik Hanghøj Iversen
629115661b
Formatting in yoneda
2018-03-21 11:58:50 +01:00
Frederik Hanghøj Iversen
b6a9befd9c
Naming and formatting
2018-03-21 11:58:50 +01:00
Frederik Hanghøj Iversen
63a51fbfdc
Include modules in "everything"-module
2018-03-21 11:58:50 +01:00
Frederik Hanghøj Iversen
811a6bf58e
Make univalence a submodule of RawCategory
2018-03-21 11:58:23 +01:00
Frederik Hanghøj Iversen
b03bfb0c77
Restructure in free monad
2018-03-20 14:58:27 +01:00
Frederik Hanghøj Iversen
66cb5b363d
[WIP] Finnish all intermediate steps for univalence of hSets
2018-03-20 13:26:40 +01:00
Frederik Hanghøj Iversen
2188e690a0
Prove identity law for coercions.
2018-03-20 12:12:09 +01:00
Frederik Hanghøj Iversen
30725d71b6
[WIP] Scary goal
2018-03-20 11:58:54 +01:00
Frederik Hanghøj Iversen
32d1833d51
[WIP] A long way towards proving univalence in the category of hSets
2018-03-20 11:27:04 +01:00
Frederik Hanghøj Iversen
43563d1ad9
[WIP] Univalence for category of homotopy sets
2018-03-19 16:27:03 +01:00
Frederik Hanghøj Iversen
2058154c65
Helpers to work with isomorphisms and equivalences
2018-03-19 15:15:03 +01:00
