Floris van Doorn
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74366aa061
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fix(hott): change some theorems to definitions
This ensures that the HoTT library compiles with the option --to_axiom
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2015-12-17 12:46:16 -08:00 |
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Floris van Doorn
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c852f7bc71
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feat(hott): use the induction tactic for trunc at some places
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2015-12-17 12:46:16 -08:00 |
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Floris van Doorn
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da5f10ce63
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feat(hott): minor fixes. allow the usage of numerals for trunc_index
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2015-12-17 12:46:16 -08:00 |
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Sebastian Ullrich
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2185ee7e95
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feat(library/tactic): make let tactic transparent, introduce new opaque note tactic
The new let tactic is semantically equivalent to let terms, while `note`
preserves its old opaque behavior.
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2015-12-14 10:14:02 -08:00 |
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Floris van Doorn
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4ef58f1ba5
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chore(hott): more cleanup.
Make zero and one reducible (see algebra/port.md)
Change some theorems which need to compute into definitions
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2015-12-10 10:42:16 -08:00 |
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Floris van Doorn
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c968f920ba
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chore(hott): cleanup
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2015-12-10 10:42:16 -08:00 |
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Floris van Doorn
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2325d23f68
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feat(hott): port nat and int from the standard library
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2015-12-09 12:36:11 -08:00 |
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Floris van Doorn
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46739c8b70
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feat(hott/algebra): port abstract structures
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2015-12-09 12:34:06 -08:00 |
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Floris van Doorn
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fe8a858d79
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feat(hott): add recursor to refl_quotient
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2015-11-22 18:29:37 -08:00 |
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Floris van Doorn
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ae92e8c94d
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feat(hit/two_quotient): give dependent eliminator for two_quotients
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2015-11-22 18:29:37 -08:00 |
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Floris van Doorn
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74aff044ef
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feat(group): port three more theorems from the standard library
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2015-11-22 14:21:26 -08:00 |
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Floris van Doorn
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5abc450fad
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feat(list): port list.basic from the standard library
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2015-11-22 14:21:26 -08:00 |
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Floris van Doorn
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88a62f8e74
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feat(algebra|types): small additions
add to markdown file for algebra, and add some definitions in types/
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2015-11-22 14:21:25 -08:00 |
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Floris van Doorn
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5328486d49
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feat(hit): add elimination rule to propositions
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2015-11-22 14:21:25 -08:00 |
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Floris van Doorn
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45d808ce7f
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feat(homotopy/circle): give all higher homotopy groups of the circle
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2015-11-22 14:21:25 -08:00 |
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Leonardo de Moura
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491c7c55e1
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feat(library/simplifier/simp_rule_set): add priorities for simp and congr rules
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2015-11-16 22:34:06 -08:00 |
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Floris van Doorn
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9e492a8771
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feat(category): more about adjoint functors
This commit has multiple unfinished proofs (commented out)
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2015-11-16 21:32:09 -08:00 |
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Floris van Doorn
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f866f71491
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feat(algebra/e_closure): add some support for dependent elimination of two_quotients
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2015-11-16 21:32:09 -08:00 |
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Floris van Doorn
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206bcd4b2a
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feat(algebra/homotopy_group): define homotopy groups
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2015-11-16 21:32:09 -08:00 |
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Floris van Doorn
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5c1bf1e777
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fix(hott): delete empty file
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2015-11-16 21:32:09 -08:00 |
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Floris van Doorn
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e00ccff6de
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fix(hott): make sure the HoTT library compiles with --to_axiom
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2015-11-16 21:32:09 -08:00 |
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Leonardo de Moura
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5ceac83b6a
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feat(frontends/lean/elaborator): restrict the number of places where coercions are considered
We do not consider coercions around meta-variables anymore.
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2015-11-11 12:37:19 -08:00 |
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Leonardo de Moura
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9bedbbb739
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refactor(library,hott): remove coercions between algebraic structures
They are classes, and mixing coercion with type class resolution is a
recipe for disaster (aka counterintuitive behavior).
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2015-11-11 11:57:44 -08:00 |
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Floris van Doorn
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4828afa781
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fix(hott): small fixes after rebasing
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2015-11-08 14:04:59 -08:00 |
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Floris van Doorn
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5e4441cb43
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fix(functor.equivalence): comment out sorry's
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2015-11-08 14:04:59 -08:00 |
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Floris van Doorn
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49cb516c71
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feat(category.limit): prove that the limit functor is right adjoint to the diagonal map
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2015-11-08 14:04:59 -08:00 |
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Floris van Doorn
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36dfb61a3e
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feat(category.limits): prove that yoneda preserves limits
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2015-11-08 14:04:59 -08:00 |
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Floris van Doorn
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46dba4ee5e
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refactor(category): move some files to subfolders, and create file with basic functors
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2015-11-08 14:04:59 -08:00 |
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Floris van Doorn
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e14754a337
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feat(category): start on proof of yoneda preserves limits and limit functor is left adjoint
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2015-11-08 14:04:59 -08:00 |
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Floris van Doorn
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f2d07ca23c
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feat(category): various small changes in category theory
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2015-11-08 14:04:59 -08:00 |
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Floris van Doorn
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de1c47eda9
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feat(categories): add exponential laws for categories
also give nicer rules to construct equalities between (pre)categories
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2015-11-08 14:04:59 -08:00 |
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Floris van Doorn
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0e7b7af1da
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refactor(category): add new folder functor, split adjoint file into separate files
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2015-11-08 14:04:59 -08:00 |
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Floris van Doorn
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3f0d8c0a8c
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feat(category.adjoint): prove more about functors
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2015-11-08 14:04:58 -08:00 |
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Floris van Doorn
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18ec5f8b85
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feat(categories): prove introduction rule for equivalences
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2015-11-08 14:04:58 -08:00 |
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Floris van Doorn
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448178a045
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feat(category.functor2): prove that the category of functors is complete and cocomplete if the codomain is
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2015-11-08 14:04:58 -08:00 |
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Floris van Doorn
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3b7afad6ad
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feat(category.hset): prove that the category of sets is cocomplete
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2015-11-08 14:04:58 -08:00 |
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Floris van Doorn
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c7fd29f854
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feat(category): start with the introduction rule for equivalences
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2015-11-08 14:04:58 -08:00 |
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Leonardo de Moura
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d1e111fd6c
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fix(hott,frontends/lean,library,library/tactic): make sure we can still compile the HoTT library
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2015-11-08 14:04:55 -08:00 |
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Leonardo de Moura
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744d1cba3d
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feat(library,hott,frontends/lean): avoid keywords with hyphen
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2015-11-08 14:04:54 -08:00 |
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Floris van Doorn
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115dedbd1c
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fix(hott): notation spacing and markdown files
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2015-10-02 16:26:10 -07:00 |
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Floris van Doorn
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2264759060
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feat(category): define colimits as dual of limits
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2015-09-28 09:09:22 -07:00 |
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Floris van Doorn
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df73931a6d
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feat(category.opposite): prove that the opposite of a univalent category is univalent
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2015-09-28 09:09:22 -07:00 |
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Floris van Doorn
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099bd95ebd
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feat(category.limits): prove that being complete is a mere proposition for categories
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2015-09-28 09:09:22 -07:00 |
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Floris van Doorn
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51edd0ad1d
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feat(category.constructions.hset): prove that the category of sets is complete
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2015-09-28 09:09:22 -07:00 |
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Floris van Doorn
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f82d1bd566
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feat(category): add limits in a category
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2015-09-28 09:09:22 -07:00 |
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Floris van Doorn
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6e23305c5d
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feat(category): define terminal, initial, indiscrete and sum category
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2015-09-28 09:09:21 -07:00 |
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Floris van Doorn
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e84b22864f
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feat(hott): various changes in the HoTT library
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2015-09-11 23:35:21 -07:00 |
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Floris van Doorn
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bd3aa9cf54
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feat(category): prove Theorem 9.5.9 from the HoTT book
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2015-09-11 23:35:21 -07:00 |
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Floris van Doorn
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1a3b363467
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feat(category): prove that the yoneda embedding is an embedding
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2015-09-11 23:35:21 -07:00 |
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Floris van Doorn
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fd89aa77a3
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feat(hott): prove Yoneda lemma
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2015-09-11 23:35:21 -07:00 |
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