Commit graph

74 commits

Author SHA1 Message Date
Frederik Hanghøj Iversen 1aaf81552c Move another proof to category definition 2018-02-26 20:42:00 +01:00
Frederik Hanghøj Iversen 101b2639e1 Move proof to category definition 2018-02-26 20:31:47 +01:00
Frederik Hanghøj Iversen 5b5d21f777 Formatting 2018-02-26 20:23:31 +01:00
Frederik Hanghøj Iversen a0944d69b1 Documentation in Monad 2018-02-26 20:08:48 +01:00
Frederik Hanghøj Iversen 67993be27b Add reverse function composition to category 2018-02-26 20:00:24 +01:00
Frederik Hanghøj Iversen 47882b1110 Rename zeta to pure 2018-02-26 19:58:27 +01:00
Frederik Hanghøj Iversen 043641462d Prove distributive law for monads! 2018-02-26 19:57:05 +01:00
Frederik Hanghøj Iversen 7cddba97a8 Shorten definition 2018-02-25 19:03:48 +01:00
Frederik Hanghøj Iversen 2c6132768e Remove Pathy and Bij 2018-02-25 15:29:52 +01:00
Frederik Hanghøj Iversen 5caecf9796 Rename properties to yoneda 2018-02-25 15:28:42 +01:00
Frederik Hanghøj Iversen f0beec1530 Rename Opposite to opposite 2018-02-25 15:23:33 +01:00
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 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 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 e46edf1f68 Chain reexport things in Functor 2018-02-23 12:21:16 +01:00
Frederik Hanghøj Iversen de1d19c442 Readd stuff about the yoneda embedding 2018-02-23 11:24:22 +01:00
Frederik Hanghøj Iversen bc2129b8fc Readd yoneda embedding 2018-02-23 10:55:43 +01:00
Frederik Hanghøj Iversen 3032dc6130 Make explicit argument 2018-02-23 10:36:59 +01:00
Frederik Hanghøj Iversen 9e96e704e8 Update Fun according to new naming policy 2018-02-21 13:40:24 +01:00
Frederik Hanghøj Iversen 38ec53d5c2 Cosmetics 2018-02-20 14:08:47 +01:00
Frederik Hanghøj Iversen 23c458983c Rely on global cubical again 2018-02-16 11:37:22 +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 9349b37550 Refactor Functor - only in module Functor 2018-02-06 14:31:18 +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