Commit graph

387 commits

Author SHA1 Message Date
Frederik Hanghøj Iversen 2e7220567a Move lemma into IsCategory 2018-02-25 14:44:03 +01:00
Frederik Hanghøj Iversen d63ecc3a65 Use abbreviation 2018-02-25 14:39:11 +01:00
Frederik Hanghøj Iversen caddf83a09 Let IsCategory reexport RawCategory 2018-02-25 14:37:28 +01:00
Frederik Hanghøj Iversen 5deabb7546 Forgot to add monoid-module 2018-02-25 14:28:01 +01:00
Frederik Hanghøj Iversen ce46e0ae7a Module-ify 2018-02-25 14:27:37 +01:00
Frederik Hanghøj Iversen 12dddc2067 Use a module 2018-02-25 03:12:51 +01:00
Frederik Hanghøj Iversen 4c298855e0 [WIP] Proving other fusion law
Also set up framework for equality principle for monads
2018-02-25 03:09:25 +01:00
Frederik Hanghøj Iversen a6b01929f0 Prove distributive law 2018-02-25 01:27:20 +01:00
Frederik Hanghøj Iversen a447cd9c7c Syntax 2018-02-24 20:41:47 +01:00
Frederik Hanghøj Iversen 9d09363f78 Expand definition of isDistributive somewhat
Also contains some side-tracks
2018-02-24 20:37:21 +01:00
Frederik Hanghøj Iversen e7abab0e4c Add pure and >=> to kleisli category 2018-02-24 19:08:20 +01:00
Frederik Hanghøj Iversen be505cdfbe Prove IsAssociative 2018-02-24 19:07:58 +01:00
Frederik Hanghøj Iversen 5d9c820fa2 Add note about haskell 2018-02-24 15:25:07 +01:00
Frederik Hanghøj Iversen e4e327d1d2 [WIP] equivalence of kleisli- resp. monoidal- representation of monad 2018-02-24 15:13:25 +01:00
Frederik Hanghøj Iversen 3e12331294 Monoidal monads addendum 2018-02-24 14:01:57 +01:00
Frederik Hanghøj Iversen 4ec13fe509 Implement monads in the kleisli form 2018-02-24 14:00:52 +01:00
Frederik Hanghøj Iversen 0ca11874bc Remove old name for functor composition 2018-02-24 12:55:08 +01:00
Frederik Hanghøj Iversen 8527fe0df4 Rename functor composition - implement monads...
In their monoidal form.
2018-02-24 12:52:16 +01:00
Frederik Hanghøj Iversen cb8533b84a Rename natural transformation composition 2018-02-23 17:43:38 +01:00
Frederik Hanghøj Iversen dd11b69c71 Documentation for natural transformations 2018-02-23 17:37:27 +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 f5dded9561 Do not use IsCategory directly 2018-02-23 16:41:17 +01:00
Frederik Hanghøj Iversen 39284b8d99 Changes in CwF 2018-02-23 14:13:55 +01:00
Frederik Hanghøj Iversen 5796b791b8 Almost prove that arrows are sets in the cateogry of families 2018-02-23 13:59:35 +01:00
Frederik Hanghøj Iversen a321a9c8b2 Use hLevels in Fam 2018-02-23 13:39:59 +01:00
Frederik Hanghøj Iversen 29e9ef689a Merge branch 'dev' 2018-02-23 13:20:41 +01:00
Frederik Hanghøj Iversen 3d0916f448 Use correct name for hSets 2018-02-23 13:20:30 +01:00
Frederik Hanghøj Iversen 82c89a78c2 Merge branch 'dev' 2018-02-23 13:19:11 +01:00
Frederik Hanghøj Iversen ee2b30d640 Update commit references 2018-02-23 13:18:47 +01:00
Frederik Hanghøj Iversen 151d5c995b Merge branch 'master' of github.com:fredefox/cat 2018-02-23 12:58:57 +01:00
Frederik Hanghøj Iversen c3b585d03b Merge branch 'dev' 2018-02-23 12:57:19 +01:00
Frederik Hanghøj Iversen 002badd98d Update changelog 2018-02-23 12:57:10 +01:00
Frederik Hanghøj Iversen 4874ed0795 Rename distrib to isDistributive 2018-02-23 12:53:35 +01:00
Frederik Hanghøj Iversen 7787a8f0be Indentation 2018-02-23 12:52:14 +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 e46edf1f68 Chain reexport things in Functor 2018-02-23 12:21:16 +01:00
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