Commit graph

206 commits

Author SHA1 Message Date
Frederik Hanghøj Iversen 0db4e97511 Do not use wishlist 2018-05-07 14:39:50 +02:00
Frederik Hanghøj Iversen 4b9fe0f5bb Merge remote-tracking branch 'Saizan/dev' into dev 2018-05-01 19:00:04 +02:00
Frederik Hanghøj Iversen 7cbaf996f1 Use implicit arguments for fun and profit 2018-05-01 18:54:08 +02:00
Frederik Hanghøj Iversen 4d27bbb401 Use non-bold mathcal 2018-05-01 11:41:45 +02:00
Frederik Hanghøj Iversen e3eca8d90a Prove other identity-law for monads 2018-05-01 11:33:12 +02:00
Frederik Hanghøj Iversen 45eafe683f Simplify 2018-04-26 10:20:57 +02:00
Frederik Hanghøj Iversen 6b6e6672e0 Rename variable 2018-04-25 08:19:36 +02:00
Frederik Hanghøj Iversen aa52bc8f07 Move lemmas about equivalences to that module 2018-04-23 17:04:27 +02:00
Frederik Hanghøj Iversen 313c7593d1 Distinguish isomorphism of categories and of types 2018-04-19 12:23:12 +02:00
Andrea Vezzosi 92fb53098a Implemented ntypeCumulative 2018-04-15 13:49:46 +02:00
Frederik Hanghøj Iversen 98b90f2370 Clean-up names a bit 2018-04-13 15:35:56 +02:00
Frederik Hanghøj Iversen 6b7d66b7fc Formatting 2018-04-13 15:26:46 +02:00
Frederik Hanghøj Iversen 7b45b5cdc3 Show that objects are groupoids 2018-04-13 15:22:13 +02:00
Andrea Vezzosi 5afa835787 Category.Product complete step2 2018-04-13 14:35:54 +02:00
Andrea Vezzosi 6023a49da6 Category.Product: get rid of the yellow 2018-04-13 14:35:10 +02:00
Andrea Vezzosi c1f58b1a4f univalence in product-category step1 2018-04-13 14:18:28 +02:00
Frederik Hanghøj Iversen e25ef31907 Construct the morphism for equivalence 2
I must still show that they are inverses.
2018-04-13 13:24:17 +02:00
Frederik Hanghøj Iversen 0ced448fa6 Progress on univalence 2018-04-13 09:40:09 +02:00
Frederik Hanghøj Iversen 5bbb40b664 Make progress with univalence in product-category 2018-04-12 13:16:25 +02:00
Frederik Hanghøj Iversen 7fcd8e631a Modified verion of 9.1.9 2018-04-12 11:21:05 +02:00
Frederik Hanghøj Iversen 1c963db7e6 Make AreInveres an alias for \Sigma 2018-04-11 13:53:33 +02:00
Frederik Hanghøj Iversen e6a2e3a0f0 Reduce applications of symmetry 2018-04-11 13:18:34 +02:00
Frederik Hanghøj Iversen c23c2716a5 Move lemma to equivalence-module 2018-04-11 12:27:33 +02:00
Frederik Hanghøj Iversen db5fb3603a Banish qualified import of Function - use \o for fun-comp! 2018-04-11 11:12:09 +02:00
Frederik Hanghøj Iversen c90b064bb0 Rename \o to <<< 2018-04-11 10:58:50 +02:00
Frederik Hanghøj Iversen 772e6778f3 [WIP] Univalence in ad-hoc category in product 2018-04-10 17:17:04 +02:00
Frederik Hanghøj Iversen fd18985e53 Export TypeIsomorphism as an alias for Equivalence.Isomorphism 2018-04-09 18:10:39 +02:00
Frederik Hanghøj Iversen 69689e7b2a Use a single version of \simeq 2018-04-06 18:27:24 +02:00
Frederik Hanghøj Iversen 23b562a873 Provide preorder instance for some things - more work on product cat 2018-04-06 16:54:00 +02:00
Frederik Hanghøj Iversen be56027c37 Remove bad lemma for showing univalence 2018-04-05 15:23:50 +02:00
Frederik Hanghøj Iversen e69ace21a0 Rename id-to-iso to idToIso 2018-04-05 15:21:54 +02:00
Frederik Hanghøj Iversen 6c5b68a8ac Add notion of pre-category 2018-04-05 14:39:54 +02:00
Frederik Hanghøj Iversen 8276deb4aa Rename proj. to fst and snd 2018-04-05 10:41:56 +02:00
Frederik Hanghøj Iversen d78965d73f Try to use lemma for proving univalence of product-category thing 2018-04-04 17:45:36 +02:00
Frederik Hanghøj Iversen f66d180ec3 [WIP] Stronger lemma for univalence 2018-04-04 11:27:03 +02:00
Frederik Hanghøj Iversen 172287f0a7 [QED] The ad-hoc product category has hom-sets that are h-sets 2018-04-03 15:23:11 +02:00
Frederik Hanghøj Iversen 1e5fb7d50a [WIP] Arrows are sets in special product category 2018-04-03 14:46:36 +02:00
Frederik Hanghøj Iversen 467c5d9c0c [WIP] Propositionality of products 2018-04-03 12:40:20 +02:00
Frederik Hanghøj Iversen 1c6d9ad2b5 Rename identity in category to ascii-name 2018-04-03 11:36:09 +02:00
Frederik Hanghøj Iversen 41b442c0d8 Merge remote-tracking branch 'Saizan/dev' into dev 2018-03-30 12:23:29 +02:00
Andrea Vezzosi 34e633902f Category.Product: Factor out use of arrowAreSets to shorten proofs 2018-03-30 11:06:45 +02:00
Frederik Hanghøj Iversen ba80fe96dc [WIP] Propositionality for products 2018-03-30 00:12:01 +02:00
Frederik Hanghøj Iversen 432cc78821 Prove assoc and ident for funky category 2018-03-29 15:47:43 +02:00
Andrea Vezzosi 8ac6b97213 isProp (Product C A B) setup 2018-03-29 00:07:49 +02:00
Frederik Hanghøj Iversen b7a80d0b86 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
2018-03-27 12:20:24 +02:00
Frederik Hanghøj Iversen d3864dbae5 Move properties about natural transformations to that module 2018-03-23 15:20:26 +01:00
Frederik Hanghøj Iversen ef688202a2 Move identity functor laws to functor module...
and make progress on univalence in the functor category
2018-03-23 13:55:03 +01:00
Frederik Hanghøj Iversen 96fb1d3a3b Formatting 2018-03-23 10:08:28 +01:00
Frederik Hanghøj Iversen 181edc0cd5 Prove step 3 in proof of unvivalence for hSet without ua 2018-03-21 17:52:32 +01:00
Frederik Hanghøj Iversen ae0ff092f8 Use prelude everywhere 2018-03-21 14:56:43 +01:00