 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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7eac677efb
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Prove 9.1.9
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2018-04-12 10:05:02 +02:00 |
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Frederik Hanghøj Iversen
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5c4b4db692
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Simplifications
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2018-04-11 14:10:01 +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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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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8c6e327b1c
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Write stuff about implementation in report
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2018-04-09 18:03:04 +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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472dbba84d
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Update backlog
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2018-04-09 16:03:02 +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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5db1a1e791
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Report-stuff
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2018-04-05 20:41:36 +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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Frederik Hanghøj Iversen
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af25db7e31
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Merge remote-tracking branch 'Saizan/dev' into dev
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2018-03-29 13:36:09 +02:00 |
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Frederik Hanghøj Iversen
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2f6b129ed6
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Move proposal to report, use xelatex
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2018-03-29 13:32:48 +02:00 |
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Frederik Hanghøj Iversen
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8752b1435d
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Update report
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2018-03-29 13:32:06 +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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