Floris van Doorn
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00e01fd2a6
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feat(homotopy): prove adjunction between smash product and pointed maps
also develop library for equality reasoning on pointed homotopies.
Also do the renamings like homomorphism -> is_mul_hom
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2017-01-18 23:19:06 +01:00 |
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Floris van Doorn
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b2bfc978bf
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continue on associativity of smash, and add some properties about the wedge sum
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2017-01-14 21:08:00 +01:00 |
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Floris van Doorn
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802eec812f
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Prove some basic properties about the smash product, and start on its associativity
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2017-01-14 21:07:36 +01:00 |
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Floris van Doorn
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b7f53b90d7
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more on pushouts, interaction with sums, and induction principle for certain cofibers
latter part ported from Agda
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2017-01-14 21:07:36 +01:00 |
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Floris van Doorn
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cb3fac2fb3
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start on torus = S^1 x S^1
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2017-01-14 21:07:36 +01:00 |
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Floris van Doorn
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db72ff0a66
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more pushout lemmas, continue with smash of the circle
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2017-01-14 21:07:36 +01:00 |
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Floris van Doorn
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372ca7297c
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finish proof that smash is the cofiber of the map from the wedge to the product
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2017-01-14 21:07:36 +01:00 |
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Floris van Doorn
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6594be4292
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prove some lemmas about pushouts, and start on the formulation of the 3x3 lemma
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2017-01-14 21:06:17 +01:00 |
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Floris van Doorn
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7f6752e14f
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Show that the Eilenberg-MacLane-space-functor induces an equivalence of categories
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2017-01-14 21:05:34 +01:00 |
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Ulrik Buchholtz
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43f5112c86
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move realprojective over from K-Theory repo
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2017-01-10 10:50:24 +01:00 |
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Steve Awodey
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c814534104
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First Isomorphism Theorem for AbGroups
with prelim.s
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2016-12-08 16:20:14 -05:00 |
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Egbert Rijke
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8d586d587b
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finished some lemma
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2016-12-08 14:16:40 -05:00 |
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Egbert Rijke
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4ea75446ba
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noethers homomorphism theorem
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2016-12-02 14:05:20 -05:00 |
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Steve Awodey
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bffab663bb
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messy quotient groups
wip
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2016-12-01 16:34:01 -05:00 |
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Egbert Rijke
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d3cba4b95d
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simplifty the trivial subgroup
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2016-12-01 15:43:05 -05:00 |
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Egbert Rijke
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de641aac71
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fix
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2016-12-01 14:41:36 -05:00 |
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Egbert Rijke
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c0a6e581e6
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Merge branch 'master' of https://github.com/cmu-phil/Spectral
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2016-12-01 14:39:23 -05:00 |
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Egbert Rijke
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652ef70739
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some work, I guess
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2016-12-01 14:39:10 -05:00 |
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Floris van Doorn
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b08457c77f
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move things to the Lean library, and update after changes in the Lean library
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2016-11-24 00:11:55 -05:00 |
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Floris van Doorn
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4f1db25e16
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Work on the uniqueness of Eilenberg-Maclane spaces
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2016-11-23 23:54:32 -05:00 |
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Floris van Doorn
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8e366e08c3
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Finish the universal property of the direct sum
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2016-11-23 23:54:32 -05:00 |
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Floris van Doorn
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c96f3d18f2
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Work on the smash product
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2016-11-23 23:53:26 -05:00 |
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Steve Awodey
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6be1b46d5e
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WIP first group isomorphism them
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2016-11-17 16:25:14 -05:00 |
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Floris van Doorn
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9df0b25ae5
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some additions to the smash product and direct sums
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2016-11-14 14:44:29 -05:00 |
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Steve Awodey
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e87c235e24
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WIP on exact couple and basic group theory
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2016-11-10 16:49:09 -05:00 |
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Steve Awodey
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e4c5d34d10
|
wip
wip
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2016-11-10 16:25:34 -05:00 |
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Egbert Rijke
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f0d595205c
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Merge branch 'master' of https://github.com/cmu-phil/Spectral
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2016-11-10 16:25:11 -05:00 |
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Egbert Rijke
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ec6c4d8339
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image_incl_eq_one
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2016-11-10 16:25:00 -05:00 |
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Steve Awodey
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1fcb41a4e7
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wip
quotient homomorphism
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2016-11-10 15:40:41 -05:00 |
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Egbert Rijke
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7d6557bdc1
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Merge branch 'master' of https://github.com/cmu-phil/Spectral
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2016-11-10 15:40:24 -05:00 |
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Egbert Rijke
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c7ccd0d43b
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comm_gq_map
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2016-11-10 15:40:12 -05:00 |
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Ulrik Buchholtz
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25ae0e9dce
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truncation level of pointed maps given connectivity of domain and truncation level of codomain
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2016-11-06 11:01:14 +01:00 |
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Egbert Rijke
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7ab6eafc3c
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image of an abelian group is abelian
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2016-11-03 23:30:44 -04:00 |
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Egbert Rijke
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699531a74c
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Merge branch 'master' of https://github.com/cmu-phil/Spectral
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2016-11-03 16:42:22 -04:00 |
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Egbert Rijke
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81e6c07f23
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progress on derived exact couples
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2016-11-03 16:42:12 -04:00 |
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Floris van Doorn
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704717e9ae
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minor changes
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2016-11-03 15:34:06 -04:00 |
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Steve Awodey
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627b2acfe3
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finished UMP of the quotient
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2016-11-03 15:12:53 -04:00 |
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Egbert Rijke
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b57eadc56a
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image of a boundary is subgroup of the kernel
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2016-10-27 15:52:47 -04:00 |
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Egbert Rijke
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1b09aee650
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initiating exact couples
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2016-10-20 16:23:55 -04:00 |
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Floris van Doorn
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29bf3bdd8e
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clean-up in imports/opens of the files in the algebra folder
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2016-10-13 16:02:04 -04:00 |
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Floris van Doorn
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79dea677e8
|
colimit, start on encode-decode proof
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2016-10-13 16:01:59 -04:00 |
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Floris van Doorn
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ead2fbbd58
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do the loop-susp adjunction in pointed types
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2016-10-13 16:01:59 -04:00 |
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Floris van Doorn
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a31c15e384
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continue on spectrification
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2016-10-13 16:01:54 -04:00 |
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Floris van Doorn
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946506af5c
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define smash without any 2-paths and work on smashing with the circle
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2016-10-13 15:49:47 -04:00 |
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Floris van Doorn
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b3765932d9
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work on spectrification
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2016-10-13 15:49:47 -04:00 |
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Floris van Doorn
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0a15d184b2
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cohomology: define cohomology as abelian groups and define the functorial action
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2016-10-13 15:49:17 -04:00 |
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Egbert Rijke
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038bbb8be3
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split group_constructions into several files
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2016-10-13 15:04:57 -04:00 |
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Floris van Doorn
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258671578d
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EM: add functorial action and equivalence of 1-Type*[0] and Group
n-Type*[k] is new notation for n-truncated k-connected pointed types. All 'subnotations' are also defined
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2016-09-23 17:16:48 -04:00 |
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Floris van Doorn
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d8c694e113
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update after changes in the HoTT library. Mostly some naming and notation changes
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2016-09-23 17:16:25 -04:00 |
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Floris van Doorn
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a34606c64f
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small changes, remove old file
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2016-09-23 17:12:46 -04:00 |
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