Frederik Hanghøj Iversen
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4beb48e066
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Use correct order for left- and right identity
Define and use helpers left- and right identity
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2018-03-21 11:58:50 +01:00 |
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Andrea Vezzosi
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f7f8953a42
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Voe: Use the isomorphism directly for better computation
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2018-03-15 13:39:42 +00:00 |
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Frederik Hanghøj Iversen
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360e2b95dd
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Make parameter to monad equivalence explicit
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2018-03-14 11:20:07 +01:00 |
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Frederik Hanghøj Iversen
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7aec22b30a
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Expose both monad formulations qualified from Cat.Category.Monad
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2018-03-14 11:00:52 +01:00 |
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Frederik Hanghøj Iversen
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ccf753d438
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Move monoidal and kleisli representation to own modules
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2018-03-12 14:23:23 +01:00 |
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Frederik Hanghøj Iversen
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8dadfa22a0
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Add documentation header to monad module
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2018-03-12 14:11:31 +01:00 |
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Frederik Hanghøj Iversen
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aa645fb11e
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Move voevodsky's construction to own module
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2018-03-12 14:04:10 +01:00 |
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Frederik Hanghøj Iversen
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35390c02d3
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Stuff about univalence in the category of sets
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2018-03-12 13:38:48 +01:00 |
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Frederik Hanghøj Iversen
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5ad506a09f
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Rename func* and func-> to omap and fmap respectively
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2018-03-08 11:03:56 +01:00 |
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Frederik Hanghøj Iversen
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b61749bb91
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Fixup some todo-notes
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2018-03-08 01:10:52 +01:00 |
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Frederik Hanghøj Iversen
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e43bee6d9f
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Feels really close
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2018-03-08 00:36:38 +01:00 |
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Frederik Hanghøj Iversen
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c8fef1d2b5
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Use different name for function composition
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2018-03-08 00:22:55 +01:00 |
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Frederik Hanghøj Iversen
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36cbe711fb
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Sort of half of the proof of an inverse
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2018-03-08 00:09:49 +01:00 |
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Frederik Hanghøj Iversen
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459718da23
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Finish proof of equivalence of klesili/monoidal categories!!
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2018-03-07 17:30:09 +01:00 |
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Frederik Hanghøj Iversen
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19103e1678
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Update cubical
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2018-03-07 16:24:43 +01:00 |
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Frederik Hanghøj Iversen
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93d075a6d3
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Attempt at proving pureNTEq
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2018-03-07 15:23:07 +01:00 |
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Frederik Hanghøj Iversen
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00e6e1aa66
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State problem with approach
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2018-03-07 11:45:11 +01:00 |
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Frederik Hanghøj Iversen
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aa64e01084
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Remove some cruft
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2018-03-07 11:33:08 +01:00 |
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Frederik Hanghøj Iversen
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125123846e
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Lay out a strategy for showing the equivalence
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2018-03-07 11:29:58 +01:00 |
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Frederik Hanghøj Iversen
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085e6eb3d7
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Stuff about voe-2-3
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2018-03-06 23:18:33 +01:00 |
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Frederik Hanghøj Iversen
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110e3510c5
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Use postulates
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2018-03-06 15:55:03 +01:00 |
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Frederik Hanghøj Iversen
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5ae68df582
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Prove that fmap is mapped correctly
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2018-03-06 15:53:11 +01:00 |
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Frederik Hanghøj Iversen
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4d528a7077
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Clean-up
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2018-03-06 11:25:29 +01:00 |
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Frederik Hanghøj Iversen
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485703c85e
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Tidy up
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2018-03-06 10:16:42 +01:00 |
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Frederik Hanghøj Iversen
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0cebe1e866
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Make private
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2018-03-06 10:06:45 +01:00 |
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Frederik Hanghøj Iversen
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4de27aa06c
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Naming
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2018-03-06 10:05:35 +01:00 |
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Frederik Hanghøj Iversen
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9173468b03
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Use omap/fmap
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2018-03-06 09:56:44 +01:00 |
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Frederik Hanghøj Iversen
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bdd67aee53
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Rename RR to Romap
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2018-03-06 09:55:18 +01:00 |
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Frederik Hanghøj Iversen
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c57cd5c991
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Define stuff in monoidal record
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2018-03-06 09:52:37 +01:00 |
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Frederik Hanghøj Iversen
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cfb7925cb5
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Renaming
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2018-03-06 09:45:04 +01:00 |
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Frederik Hanghøj Iversen
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b6457a0b14
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Add comment
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2018-03-06 09:41:29 +01:00 |
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Frederik Hanghøj Iversen
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7647a452cd
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Tidy up proof a bit
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2018-03-06 09:39:48 +01:00 |
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Frederik Hanghøj Iversen
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35419ad86e
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Rename eta and mu
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2018-03-06 09:35:50 +01:00 |
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Frederik Hanghøj Iversen
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f8e08288a0
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Cosmetics
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2018-03-05 17:31:13 +01:00 |
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Frederik Hanghøj Iversen
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9ec6ce9eba
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Use other equality principle
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2018-03-05 17:10:41 +01:00 |
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Frederik Hanghøj Iversen
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8f8800cb67
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More stuff about kleisli \equiv monoidal
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2018-03-05 10:28:16 +01:00 |
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Frederik Hanghøj Iversen
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b079f5e426
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Prove propositionality for IsMonad
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2018-03-02 13:31:46 +01:00 |
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Frederik Hanghøj Iversen
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c4e3625746
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Finish proof of distributivity
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2018-03-01 20:47:36 +01:00 |
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Frederik Hanghøj Iversen
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2ceb027f7a
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Prove monad-equality principle for kleisly monads
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2018-03-01 20:23:34 +01:00 |
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Frederik Hanghøj Iversen
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f2164a6717
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Prove equality principle for monads
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2018-03-01 20:12:49 +01:00 |
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Frederik Hanghøj Iversen
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a7f31bb3e2
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Prove "foreign naturality condition"
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2018-03-01 18:00:51 +01:00 |
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Frederik Hanghøj Iversen
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f526fd6010
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Prove inverse law
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2018-03-01 17:50:06 +01:00 |
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Frederik Hanghøj Iversen
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ff2952e9ad
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Make postulate
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2018-03-01 14:59:19 +01:00 |
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Frederik Hanghøj Iversen
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ae46a48861
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Define goals in Kleisli
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2018-03-01 14:58:01 +01:00 |
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Frederik Hanghøj Iversen
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64a0292755
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Cosmetics
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2018-03-01 14:19:46 +01:00 |
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Frederik Hanghøj Iversen
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e8b29e1f7f
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\mu is join and it's a natural transformation!
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2018-02-28 23:41:59 +01:00 |
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Frederik Hanghøj Iversen
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9d3b17245f
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Provide \zeta
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2018-02-28 19:32:07 +01:00 |
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Frederik Hanghøj Iversen
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f2b1a36a75
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Define and use Endofunctor
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2018-02-28 19:03:11 +01:00 |
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Frederik Hanghøj Iversen
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3c77c69cf6
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Move functor definition to Kleisli.Monad
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2018-02-28 19:00:21 +01:00 |
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Frederik Hanghøj Iversen
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70221377d3
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Move proof of equivalence to IsMonad making them lemmas
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2018-02-28 18:55:32 +01:00 |
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