 Frederik Hanghøj Iversen
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e3eca8d90a
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Prove other identity-law for monads
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2018-05-01 11:33:12 +02:00 |
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Frederik Hanghøj Iversen
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45eafe683f
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Simplify
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2018-04-26 10:20:57 +02:00 |
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Frederik Hanghøj Iversen
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6b6e6672e0
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Rename variable
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2018-04-25 08:19:36 +02:00 |
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Frederik Hanghøj Iversen
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aa52bc8f07
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Move lemmas about equivalences to that module
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2018-04-23 17:04:27 +02:00 |
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Frederik Hanghøj Iversen
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313c7593d1
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Distinguish isomorphism of categories and of types
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2018-04-19 12:23:12 +02:00 |
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Frederik Hanghøj Iversen
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98b90f2370
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Clean-up names a bit
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2018-04-13 15:35:56 +02:00 |
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Frederik Hanghøj Iversen
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6b7d66b7fc
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Formatting
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2018-04-13 15:26:46 +02:00 |
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Frederik Hanghøj Iversen
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7b45b5cdc3
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Show that objects are groupoids
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2018-04-13 15:22:13 +02:00 |
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Andrea Vezzosi
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5afa835787
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Category.Product complete step2
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2018-04-13 14:35:54 +02:00 |
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Andrea Vezzosi
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6023a49da6
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Category.Product: get rid of the yellow
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2018-04-13 14:35:10 +02:00 |
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Andrea Vezzosi
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c1f58b1a4f
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univalence in product-category step1
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2018-04-13 14:18:28 +02:00 |
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Frederik Hanghøj Iversen
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e25ef31907
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Construct the morphism for equivalence 2
I must still show that they are inverses.
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2018-04-13 13:24:17 +02:00 |
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Frederik Hanghøj Iversen
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0ced448fa6
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Progress on univalence
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2018-04-13 09:40:09 +02:00 |
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Frederik Hanghøj Iversen
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5bbb40b664
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Make progress with univalence in product-category
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2018-04-12 13:16:25 +02:00 |
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Frederik Hanghøj Iversen
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7fcd8e631a
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Modified verion of 9.1.9
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2018-04-12 11:21:05 +02:00 |
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Frederik Hanghøj Iversen
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1c963db7e6
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Make AreInveres an alias for \Sigma
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2018-04-11 13:53:33 +02:00 |
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Frederik Hanghøj Iversen
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e6a2e3a0f0
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Reduce applications of symmetry
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2018-04-11 13:18:34 +02:00 |
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Frederik Hanghøj Iversen
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c23c2716a5
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Move lemma to equivalence-module
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2018-04-11 12:27:33 +02:00 |
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Frederik Hanghøj Iversen
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db5fb3603a
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Banish qualified import of Function - use \o for fun-comp!
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2018-04-11 11:12:09 +02:00 |
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Frederik Hanghøj Iversen
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c90b064bb0
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Rename \o to <<<
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2018-04-11 10:58:50 +02:00 |
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Frederik Hanghøj Iversen
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772e6778f3
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[WIP] Univalence in ad-hoc category in product
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2018-04-10 17:17:04 +02:00 |
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Frederik Hanghøj Iversen
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fd18985e53
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Export TypeIsomorphism as an alias for Equivalence.Isomorphism
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2018-04-09 18:10:39 +02:00 |
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Frederik Hanghøj Iversen
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69689e7b2a
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Use a single version of \simeq
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2018-04-06 18:27:24 +02:00 |
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Frederik Hanghøj Iversen
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23b562a873
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Provide preorder instance for some things - more work on product cat
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2018-04-06 16:54:00 +02:00 |
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Frederik Hanghøj Iversen
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be56027c37
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Remove bad lemma for showing univalence
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2018-04-05 15:23:50 +02:00 |
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Frederik Hanghøj Iversen
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e69ace21a0
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Rename id-to-iso to idToIso
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2018-04-05 15:21:54 +02:00 |
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Frederik Hanghøj Iversen
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6c5b68a8ac
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Add notion of pre-category
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2018-04-05 14:39:54 +02:00 |
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Frederik Hanghøj Iversen
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8276deb4aa
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Rename proj. to fst and snd
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2018-04-05 10:41:56 +02:00 |
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Frederik Hanghøj Iversen
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d78965d73f
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Try to use lemma for proving univalence of product-category thing
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2018-04-04 17:45:36 +02:00 |
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Frederik Hanghøj Iversen
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f66d180ec3
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[WIP] Stronger lemma for univalence
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2018-04-04 11:27:03 +02:00 |
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Frederik Hanghøj Iversen
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172287f0a7
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[QED] The ad-hoc product category has hom-sets that are h-sets
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2018-04-03 15:23:11 +02:00 |
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Frederik Hanghøj Iversen
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1e5fb7d50a
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[WIP] Arrows are sets in special product category
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2018-04-03 14:46:36 +02:00 |
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Frederik Hanghøj Iversen
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467c5d9c0c
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[WIP] Propositionality of products
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2018-04-03 12:40:20 +02:00 |
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Frederik Hanghøj Iversen
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1c6d9ad2b5
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Rename identity in category to ascii-name
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2018-04-03 11:36:09 +02:00 |
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Frederik Hanghøj Iversen
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41b442c0d8
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Merge remote-tracking branch 'Saizan/dev' into dev
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2018-03-30 12:23:29 +02:00 |
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Andrea Vezzosi
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34e633902f
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Category.Product: Factor out use of arrowAreSets to shorten proofs
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2018-03-30 11:06:45 +02:00 |
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Frederik Hanghøj Iversen
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ba80fe96dc
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[WIP] Propositionality for products
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2018-03-30 00:12:01 +02:00 |
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Frederik Hanghøj Iversen
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432cc78821
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Prove assoc and ident for funky category
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2018-03-29 15:47:43 +02:00 |
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Andrea Vezzosi
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8ac6b97213
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isProp (Product C A B) setup
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2018-03-29 00:07:49 +02:00 |
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Frederik Hanghøj Iversen
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b7a80d0b86
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Proof: Being an initial- terminal- object is a mere proposition
Also tries to use this to prove that being a product is a mere
proposition
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2018-03-27 12:20:24 +02:00 |
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Frederik Hanghøj Iversen
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d3864dbae5
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Move properties about natural transformations to that module
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2018-03-23 15:20:26 +01:00 |
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Frederik Hanghøj Iversen
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ef688202a2
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Move identity functor laws to functor module...
and make progress on univalence in the functor category
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2018-03-23 13:55:03 +01:00 |
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Frederik Hanghøj Iversen
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96fb1d3a3b
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Formatting
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2018-03-23 10:08:28 +01:00 |
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Frederik Hanghøj Iversen
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181edc0cd5
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Prove step 3 in proof of unvivalence for hSet without ua
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2018-03-21 17:52:32 +01:00 |
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Frederik Hanghøj Iversen
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ae0ff092f8
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Use prelude everywhere
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2018-03-21 14:56:43 +01:00 |
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Frederik Hanghøj Iversen
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29f45d1426
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Delete equality module
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2018-03-21 14:47:01 +01:00 |
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Frederik Hanghøj Iversen
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183906dc8c
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Define and use custom prelude
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2018-03-21 14:39:56 +01:00 |
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Frederik Hanghøj Iversen
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e98ed89db5
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Make propositionality a submodule of the actual proposition
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2018-03-21 12:21:47 +01:00 |
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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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Frederik Hanghøj Iversen
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31257a4d97
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Do not export helpers in Fun
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2018-03-21 11:58:50 +01:00 |
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