Commit graph

71 commits

Author SHA1 Message Date
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
Andrea Vezzosi f7f8953a42 Voe: Use the isomorphism directly for better computation 2018-03-15 13:39:42 +00:00
Frederik Hanghøj Iversen 360e2b95dd Make parameter to monad equivalence explicit 2018-03-14 11:20:07 +01:00
Frederik Hanghøj Iversen 7aec22b30a Expose both monad formulations qualified from Cat.Category.Monad 2018-03-14 11:00:52 +01:00
Frederik Hanghøj Iversen ccf753d438 Move monoidal and kleisli representation to own modules 2018-03-12 14:23:23 +01:00
Frederik Hanghøj Iversen 8dadfa22a0 Add documentation header to monad module 2018-03-12 14:11:31 +01:00
Frederik Hanghøj Iversen aa645fb11e Move voevodsky's construction to own module 2018-03-12 14:04:10 +01:00
Frederik Hanghøj Iversen 35390c02d3 Stuff about univalence in the category of sets 2018-03-12 13:38:48 +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 b61749bb91 Fixup some todo-notes 2018-03-08 01:10:52 +01:00
Frederik Hanghøj Iversen e43bee6d9f Feels really close 2018-03-08 00:36:38 +01:00
Frederik Hanghøj Iversen c8fef1d2b5 Use different name for function composition 2018-03-08 00:22:55 +01:00
Frederik Hanghøj Iversen 36cbe711fb Sort of half of the proof of an inverse 2018-03-08 00:09:49 +01:00
Frederik Hanghøj Iversen 459718da23 Finish proof of equivalence of klesili/monoidal categories!! 2018-03-07 17:30:09 +01:00
Frederik Hanghøj Iversen 19103e1678 Update cubical 2018-03-07 16:24:43 +01:00
Frederik Hanghøj Iversen 93d075a6d3 Attempt at proving pureNTEq 2018-03-07 15:23:07 +01:00
Frederik Hanghøj Iversen 00e6e1aa66 State problem with approach 2018-03-07 11:45:11 +01:00
Frederik Hanghøj Iversen aa64e01084 Remove some cruft 2018-03-07 11:33:08 +01:00
Frederik Hanghøj Iversen 125123846e Lay out a strategy for showing the equivalence 2018-03-07 11:29:58 +01:00
Frederik Hanghøj Iversen 085e6eb3d7 Stuff about voe-2-3 2018-03-06 23:18:33 +01:00
Frederik Hanghøj Iversen 110e3510c5 Use postulates 2018-03-06 15:55:03 +01:00
Frederik Hanghøj Iversen 5ae68df582 Prove that fmap is mapped correctly 2018-03-06 15:53:11 +01:00
Frederik Hanghøj Iversen 4d528a7077 Clean-up 2018-03-06 11:25:29 +01:00
Frederik Hanghøj Iversen 485703c85e Tidy up 2018-03-06 10:16:42 +01:00
Frederik Hanghøj Iversen 0cebe1e866 Make private 2018-03-06 10:06:45 +01:00
Frederik Hanghøj Iversen 4de27aa06c Naming 2018-03-06 10:05:35 +01:00
Frederik Hanghøj Iversen 9173468b03 Use omap/fmap 2018-03-06 09:56:44 +01:00
Frederik Hanghøj Iversen bdd67aee53 Rename RR to Romap 2018-03-06 09:55:18 +01:00
Frederik Hanghøj Iversen c57cd5c991 Define stuff in monoidal record 2018-03-06 09:52:37 +01:00
Frederik Hanghøj Iversen cfb7925cb5 Renaming 2018-03-06 09:45:04 +01:00
Frederik Hanghøj Iversen b6457a0b14 Add comment 2018-03-06 09:41:29 +01:00
Frederik Hanghøj Iversen 7647a452cd Tidy up proof a bit 2018-03-06 09:39:48 +01:00
Frederik Hanghøj Iversen 35419ad86e Rename eta and mu 2018-03-06 09:35:50 +01:00
Frederik Hanghøj Iversen f8e08288a0 Cosmetics 2018-03-05 17:31:13 +01:00
Frederik Hanghøj Iversen 9ec6ce9eba Use other equality principle 2018-03-05 17:10:41 +01:00
Frederik Hanghøj Iversen 8f8800cb67 More stuff about kleisli \equiv monoidal 2018-03-05 10:28:16 +01:00
Frederik Hanghøj Iversen b079f5e426 Prove propositionality for IsMonad 2018-03-02 13:31:46 +01:00
Frederik Hanghøj Iversen c4e3625746 Finish proof of distributivity 2018-03-01 20:47:36 +01:00
Frederik Hanghøj Iversen 2ceb027f7a Prove monad-equality principle for kleisly monads 2018-03-01 20:23:34 +01:00
Frederik Hanghøj Iversen f2164a6717 Prove equality principle for monads 2018-03-01 20:12:49 +01:00
Frederik Hanghøj Iversen a7f31bb3e2 Prove "foreign naturality condition" 2018-03-01 18:00:51 +01:00
Frederik Hanghøj Iversen f526fd6010 Prove inverse law 2018-03-01 17:50:06 +01:00
Frederik Hanghøj Iversen ff2952e9ad Make postulate 2018-03-01 14:59:19 +01:00
Frederik Hanghøj Iversen ae46a48861 Define goals in Kleisli 2018-03-01 14:58:01 +01:00
Frederik Hanghøj Iversen 64a0292755 Cosmetics 2018-03-01 14:19:46 +01:00
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