Commit Graph

496 Commits

Author SHA1 Message Date
Frederik Hanghøj Iversen 885fd8fa69 Drastically simplify proofs 2018-02-23 12:15:39 +01:00
Frederik Hanghøj Iversen 3f3247c870 Remove commented code 2018-02-23 12:05:38 +01:00
Frederik Hanghøj Iversen de1d19c442 Readd stuff about the yoneda embedding 2018-02-23 11:24:22 +01:00
Frederik Hanghøj Iversen 954a89f8d1 Expose `naturalIsProp` 2018-02-23 11:12:27 +01:00
Frederik Hanghøj Iversen bc2129b8fc Readd yoneda embedding 2018-02-23 10:55:43 +01:00
Frederik Hanghøj Iversen 9a4d79fa4e Readd commented code 2018-02-23 10:44:23 +01:00
Frederik Hanghøj Iversen 3032dc6130 Make explicit argument 2018-02-23 10:36:59 +01:00
Frederik Hanghøj Iversen cc1ddaac9f Add new type-synonym 2018-02-23 10:35:42 +01:00
Frederik Hanghøj Iversen a87d404aad Refactor category of categories
No longer actually define the category. Just define the raw category and
a few results about it.
2018-02-23 10:34:37 +01:00
Frederik Hanghøj Iversen 32b9ce2ea8 Use new syntax in cat 2018-02-22 15:31:54 +01:00
Frederik Hanghøj Iversen 1b6798f229
Update README.md 2018-02-21 18:23:55 +01:00
Frederik Hanghøj Iversen 5b2681392c Merge branch 'dev' 2018-02-21 14:06:24 +01:00
Frederik Hanghøj Iversen 7ed99a6bb4 Add backlog and changelog 2018-02-21 14:06:09 +01:00
Frederik Hanghøj Iversen a82095604d Remove unused function 2018-02-21 14:05:10 +01:00
Frederik Hanghøj Iversen 7398210a2b Update readme 2018-02-21 13:52:51 +01:00
Frederik Hanghøj Iversen 8f620e0dbe Update commit references 2018-02-21 13:43:26 +01:00
Frederik Hanghøj Iversen 9e96e704e8 Update `Fun` according to new naming policy 2018-02-21 13:40:24 +01:00
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