 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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770bce52a2
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Use 3rd formulation of univalence
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2018-04-11 12:54:22 +02:00 |
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Frederik Hanghøj Iversen
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4ff8f155ab
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[QED] Get equivalence from 3rd formulation
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2018-04-11 12:46:22 +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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6d59a8f79e
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Add note about proving 9.1.9
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2018-04-10 17:33:22 +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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04144db606
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Simplifications and renaming
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2018-04-09 18:02:39 +02:00 |
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Frederik Hanghøj Iversen
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735b25de23
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Simplify proof and move propUnivalent to a more general setting
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2018-04-09 16:03:43 +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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36d92c7ceb
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Make the category an index of PreCategory
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2018-04-06 17:09:15 +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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bbe9460647
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Provide composition of isEquiv's
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2018-04-05 20:41:14 +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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b5f89322ac
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Add notion of strict category
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2018-04-05 15:13:59 +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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84f88ac2ae
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Change what is needed
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2018-04-04 12:01:29 +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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Frederik Hanghøj Iversen
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ffedb83210
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Initial objects are also propositional
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2018-03-29 14:31:58 +02:00 |
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Frederik Hanghøj Iversen
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52ac9b4b78
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Terminal objects are propositional
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2018-03-29 14:26:47 +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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facd1167e0
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Fix unique existential
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2018-03-27 14:18:13 +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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9898685491
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Prove that the opposite category is a category
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2018-03-26 14:11:15 +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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c8c61a8d03
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Half-time report
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2018-03-23 11:11:44 +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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ac01b786a7
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Cleanup
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2018-03-22 14:27:16 +01:00 |
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Frederik Hanghøj Iversen
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ebcab2528e
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Prove second inverse law for from/to-isomorphism
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2018-03-22 13:49:53 +01:00 |
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Frederik Hanghøj Iversen
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0246c1b5ab
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Readability
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2018-03-22 12:25:12 +01:00 |
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Frederik Hanghøj Iversen
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d816ba657b
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QED! Show that the category of homotopic sets are univalent.
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2018-03-22 12:11:27 +01:00 |
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Frederik Hanghøj Iversen
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52ca0b6732
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Merge remote-tracking branch 'Saizan/dev' into dev
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2018-03-22 11:54:22 +01:00 |
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Frederik Hanghøj Iversen
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d12122ce60
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Add another approach for univalence in Set
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2018-03-22 11:50:07 +01:00 |
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Andrea Vezzosi
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66ab7138a6
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generalized lem3 and made progress for Sets univalence
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2018-03-22 10:41:38 +00:00 |
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Frederik Hanghøj Iversen
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807a0f3dcd
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Slight readability improvement
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2018-03-21 18:05:25 +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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