Commit graph

457 commits

Author SHA1 Message Date
Frederik Hanghøj Iversen e8b29e1f7f \mu is join and it's a natural transformation! 2018-02-28 23:41:59 +01:00
Frederik Hanghøj Iversen 9d3b17245f Provide \zeta 2018-02-28 19:32:07 +01:00
Frederik Hanghøj Iversen f2b1a36a75 Define and use Endofunctor 2018-02-28 19:03:11 +01:00
Frederik Hanghøj Iversen 3c77c69cf6 Move functor definition to Kleisli.Monad 2018-02-28 19:00:21 +01:00
Frederik Hanghøj Iversen 70221377d3 Move proof of equivalence to IsMonad making them lemmas 2018-02-28 18:55:32 +01:00
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 9c8bc1b1f4 Merge branch 'dev' 2018-02-25 15:38:23 +01:00
Frederik Hanghøj Iversen 7518a642f6 Update changelog 2018-02-25 15:38:12 +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 44526b85eb Move CwF 2018-02-25 15:24:44 +01:00
Frederik Hanghøj Iversen f0beec1530 Rename Opposite to opposite 2018-02-25 15:23:33 +01:00
Frederik Hanghøj Iversen cd98736d02 Add documentation in Category-module 2018-02-25 15:21:38 +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 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