Commit graph

60 commits

Author SHA1 Message Date
Frederik Hanghøj Iversen c90b064bb0 Rename \o to <<< 2018-04-11 10:58:50 +02:00
Frederik Hanghøj Iversen 6c5b68a8ac Add notion of pre-category 2018-04-05 14:39:54 +02:00
Frederik Hanghøj Iversen 8276deb4aa Rename proj. to fst and snd 2018-04-05 10:41:56 +02:00
Frederik Hanghøj Iversen 1c6d9ad2b5 Rename identity in category to ascii-name 2018-04-03 11:36:09 +02:00
Frederik Hanghøj Iversen facd1167e0 Fix unique existential 2018-03-27 14:18:13 +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 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 cd3514c8cf Formatting 2018-03-21 13:25:24 +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 811a6bf58e Make univalence a submodule of RawCategory 2018-03-21 11:58:23 +01:00
Frederik Hanghøj Iversen 091e77b583 Rename IsProduct.isProduct to IsProduct.ump
[WIP]: Also some stuff about propositionality for products.
2018-03-14 10:23:23 +01:00
Frederik Hanghøj Iversen 52297d9073 Clean-up in the category of categories 2018-03-08 11:54:13 +01:00
Frederik Hanghøj Iversen d01514cbdb Do not use ugly ':'-syntax to disambiguate fields 2018-03-08 11:29:16 +01:00
Frederik Hanghøj Iversen 48672b01bd Use dotted expression in Cat 2018-03-08 11:20:51 +01:00
Frederik Hanghøj Iversen 5ad506a09f Rename func* and func-> to omap and fmap respectively 2018-03-08 11:03:56 +01:00
Frederik Hanghøj Iversen 63b5f5c68d Use long name for product object 2018-03-08 10:46:28 +01:00
Frederik Hanghøj Iversen 4e7b350188 Factor out objects 2018-03-08 10:28:05 +01:00
Frederik Hanghøj Iversen faf4c54188 Make parameters explicit 2018-03-08 10:22:21 +01:00
Frederik Hanghøj Iversen fae492a1e3 Restructure products 2018-03-08 10:20:29 +01:00
Frederik Hanghøj Iversen b61749bb91 Fixup some todo-notes 2018-03-08 01:10:52 +01:00
Frederik Hanghøj Iversen 9ec6ce9eba Use other equality principle 2018-03-05 17:10:41 +01:00
Frederik Hanghøj Iversen 1bf565b87a Have yoneda without having a category of categories
I did break some things in Cat.Categories.Cat but since this is
unprovable anyways it's not that big a deal.
2018-03-05 13:52:59 +01:00
Frederik Hanghøj Iversen a4890a42cf Define Monoidal categories without depending on category of categories 2018-03-05 11:13:58 +01:00
Frederik Hanghøj Iversen 5902c6121b Further reduce dependency on impossible facts.
Provide the data for the product in the category of categories without
requiring such a category to actually exist
2018-03-05 11:07:42 +01:00
Frederik Hanghøj Iversen 77006011d3 Minimize dependency on category of categories 2018-03-05 10:35:33 +01:00
Frederik Hanghøj Iversen 0ca11874bc Remove old name for functor composition 2018-02-24 12:55:08 +01:00
Frederik Hanghøj Iversen 689a6467c6 Move stuff about natural transformations to own module 2018-02-23 17:33:09 +01:00
Frederik Hanghøj Iversen 4874ed0795 Rename distrib to isDistributive 2018-02-23 12:53:35 +01:00
Frederik Hanghøj Iversen 48423cc816 Rename arrowIsSet to arrowsAreSets 2018-02-23 12:51:44 +01:00
Frederik Hanghøj Iversen 6446435a49 Rename ident to isIdentity 2018-02-23 12:49:41 +01:00
Frederik Hanghøj Iversen 5cbc409770 Rename assoc to isAssociative 2018-02-23 12:43:49 +01:00
Frederik Hanghøj Iversen 852056cc44 Add type-synonyms in functor 2018-02-23 12:41:15 +01:00
Frederik Hanghøj Iversen a57f45d93f Remove yet another postulate 2018-02-23 12:33:20 +01:00
Frederik Hanghøj Iversen 34dec9406d Do not mention IsFunctor outside the module that defines it 2018-02-23 12:29:10 +01:00
Frederik Hanghøj Iversen 885fd8fa69 Drastically simplify proofs 2018-02-23 12:15:39 +01:00
Frederik Hanghøj Iversen 9a4d79fa4e Readd commented code 2018-02-23 10:44:23 +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 e8ac6786ff Changes to the category of categories 2018-02-05 16:35:33 +01:00
Frederik Hanghøj Iversen e5f1fa018a Merge branch 'Saizan-master' into dev 2018-02-02 15:34:30 +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 c87a6fb469 Make IsFunctor a seperate record 2018-01-30 16:24:16 +01:00
Frederik Hanghøj Iversen ee2e84edfe Remove unused bindings 2018-01-25 14:11:28 +01:00
Frederik Hanghøj Iversen 812662bda3 Rename some variables 2018-01-25 12:47:32 +01:00
Frederik Hanghøj Iversen 7a77ba230c Move functor-equality to functor module 2018-01-25 12:11:50 +01:00
Frederik Hanghøj Iversen a480fca956 Clean up some stuff 2018-01-25 12:01:37 +01:00