Commit graph

479 commits

Author SHA1 Message Date
Frederik Hanghøj Iversen 57d7eab4cb Make sets a category according to HoTT 2018-02-21 13:37:07 +01:00
Frederik Hanghøj Iversen ed40824edc Cosmetics 2018-02-21 12:59:31 +01:00
Frederik Hanghøj Iversen edf552cb86 Do not define synonym for contractible 2018-02-20 18:15:30 +01:00
Frederik Hanghøj Iversen d2da84269f Move some more things into RawCategory 2018-02-20 18:14:42 +01:00
Frederik Hanghøj Iversen 0c861c4bde Factor univalence out to a seperate module 2018-02-20 18:13:06 +01:00
Frederik Hanghøj Iversen a4f8a37e36 Proove that IsCategory is a mere proposition! 2018-02-20 18:01:26 +01:00
Frederik Hanghøj Iversen 159bffa6ae Factor out more from IsCategory 2018-02-20 17:59:48 +01:00
Frederik Hanghøj Iversen a016c67b88 Succesfully apply path-induction.
Now all that's left to do is prove the original proposition in a
heterogenous equality
2018-02-20 17:46:32 +01:00
Frederik Hanghøj Iversen ff496aae09 Factor out a useful type-family 2018-02-20 17:33:02 +01:00
Frederik Hanghøj Iversen 860c91f913 Trim mess 2018-02-20 16:43:53 +01:00
Frederik Hanghøj Iversen 8ef61d9db0 Simplify Category 2018-02-20 16:26:40 +01:00
Frederik Hanghøj Iversen 10df9511a4 Move various type-synonyms to RawCategory 2018-02-20 16:24:14 +01:00
Frederik Hanghøj Iversen 38ec53d5c2 Cosmetics 2018-02-20 14:08:47 +01:00
Frederik Hanghøj Iversen 44eda0ced0 Stuff about propositionality of fields of IsCategory 2018-02-19 15:46:19 +01:00
Frederik Hanghøj Iversen bec5acdc59 Move proposition to wishlist 2018-02-19 11:25:16 +01:00
Frederik Hanghøj Iversen 89ad60ffef Stuff about the free category 2018-02-19 11:09:49 +01:00
Frederik Hanghøj Iversen 73ab4d1836 Proove identity laws for natural transformations 2018-02-16 12:46:25 +01:00
Frederik Hanghøj Iversen a64e2484e3 Prove associativity for natural transformations 2018-02-16 12:24:58 +01:00
Frederik Hanghøj Iversen b8994b8f4a Merge branch 'dev' 2018-02-16 12:04:29 +01:00
Frederik Hanghøj Iversen 7dc7a5aee3 Prove that naturalTransformations are sets
Also adds a new module `Cat.Wishlist` of things I hope to put get from
upstream `cubical`.
2018-02-16 12:03:02 +01:00
Frederik Hanghøj Iversen 23c458983c Rely on global cubical again 2018-02-16 11:37:22 +01:00
Frederik Hanghøj Iversen 8a3a519955 Do not use depend-flag 2018-02-16 10:25:33 +01:00
Frederik Hanghøj Iversen ad84b15da5 [WIP] natural transformations are sets 2018-02-16 10:22:46 +01:00
Frederik Hanghøj Iversen 7d4aae4f49 Try to show that natural transformations are sets 2018-02-09 12:09:59 +01:00
Frederik Hanghøj Iversen 56d689fb4b Use arrowIsSet to simplify equality constructor for functors 2018-02-07 20:19:17 +01:00
Frederik Hanghøj Iversen 4df4231906 Merge branch 'dev' 2018-02-06 14:31:28 +01:00
Frederik Hanghøj Iversen 9349b37550 Refactor Functor - only in module Functor 2018-02-06 14:31:18 +01:00
Frederik Hanghøj Iversen a27292dd53 Stuff about the free category 2018-02-06 11:27:22 +01:00
Frederik Hanghøj Iversen 9f1e82168f Move the free category 2018-02-06 10:35:52 +01:00
Frederik Hanghøj Iversen 0688f5c372 Rename arrowIsSet 2018-02-06 10:34:43 +01:00
Frederik Hanghøj Iversen e8ac6786ff Changes to the category of categories 2018-02-05 16:35:33 +01:00
Frederik Hanghøj Iversen e8215b2c05 Move product, exponential, ... 2018-02-05 14:59:53 +01:00
Frederik Hanghøj Iversen 83ccde62e9 Use co-patterns 2018-02-05 14:47:15 +01:00
Frederik Hanghøj Iversen 20dc9d26ac Move product, exponential and cart closed to own file 2018-02-05 14:08:30 +01:00
Frederik Hanghøj Iversen 8022ed349d "re-delegate" projections in new module Category 2018-02-05 12:21:39 +01:00
Frederik Hanghøj Iversen 36d10b0556 Merge branch 'dev' 2018-02-05 11:51:13 +01:00
Frederik Hanghøj Iversen 22a9a71870 Split Category into RawCategory and IsCategory 2018-02-05 11:43:38 +01:00
Frederik Hanghøj Iversen fecb4dc1ce Towards IsCategory-is-prop 2018-02-05 10:24:57 +01:00
Frederik Hanghøj Iversen 6ea3b5f2b2 Makefile for latex 2018-02-02 15:34:35 +01:00
Frederik Hanghøj Iversen e5f1fa018a Merge branch 'Saizan-master' into dev 2018-02-02 15:34:30 +01:00
Frederik Hanghøj Iversen 19987dd917 Add some stuff about the category of cubes
Also some feedback from Thierry
2018-02-02 14:47:51 +01:00
Andrea Vezzosi 8d5e992e48 changed IsCategory to follow the HoTT book definition. 2018-02-01 14:37:55 +00:00
Frederik Hanghøj Iversen 6bb8ba3927 Move the category of families 2018-01-31 15:15:00 +01:00
Frederik Hanghøj Iversen 9a27c6af5a Add comment to agda-lib 2018-01-31 14:47:20 +01:00
Frederik Hanghøj Iversen 92f0f8e0f0 Rename stuff 2018-01-31 14:39:54 +01:00
Frederik Hanghøj Iversen 86d3d7368e Use equality construction principle
Also update submodules
2018-01-30 22:41:18 +01:00
Frederik Hanghøj Iversen 255b0236f9 Use alternative syntax for arrow composition 2018-01-30 19:19:16 +01:00
Frederik Hanghøj Iversen e33911ad9e Use alternate syntax for arrow-composition 2018-01-30 18:26:11 +01:00
Frederik Hanghøj Iversen c87a6fb469 Make IsFunctor a seperate record 2018-01-30 16:24:16 +01:00
Frederik Hanghøj Iversen f13b98b009 Merge branch 'dev' 2018-01-30 13:23:17 +01:00