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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Ulrik Buchholtz
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0eb070e183
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fix(hott/book.md): align with previous commit
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2015-11-08 14:21:27 -08:00 |
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Ulrik Buchholtz
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aebb88d42b
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feat(hott/homotopy): connectedness, including HoTT Thm 8.2.1
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2015-11-08 14:21:16 -08:00 |
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Leonardo de Moura
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a07598a3ec
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feat(hott/init/logic): congr_fun was missing in the HoTT library, blast assumes it is part of the environment
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2015-11-08 14:05:03 -08:00 |
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Leonardo de Moura
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01259a2d1c
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feat(library/app_builder): add helper functions for creating eq.rec applications
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2015-11-08 14:05:01 -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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a99a99f047
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feat(hit/quotient): prove the flattening lemma
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2015-11-08 14:04:59 -08:00 |
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Floris van Doorn
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aa9f32a3bd
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fix(init/equiv): make transport not an instance
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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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50186e2db3
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feat(library/class_instance_resolution): add old type class resolution procedure back to be able to compile HoTT library
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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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8ee214f133
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checkpoint: new numeral encoding
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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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Jakob von Raumer
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d508ceccec
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feat(hott/homotpy) add join operator, and prove two basic lemmas
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2015-10-13 09:59:24 -07:00 |
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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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Leonardo de Moura
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ede23a3267
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feat(hott,library): add additional spacing hints
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2015-09-30 17:41:44 -07:00 |
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Floris van Doorn
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aac13a2ee7
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fix(hott): minor changes to merge ulrik and my commits
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2015-09-28 09:09:22 -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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3c4c722afd
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feat(hott): port more from chapters 4 and 6 of the book
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2015-09-28 09:09:21 -07:00 |
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Ulrik Buchholtz
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c6f3f6f3f4
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feat(hott): prove HoTT book 7.5.4 and 7.5.5
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2015-09-28 09:09:21 -07:00 |
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Ulrik Buchholtz
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25ed9d6e5a
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feat(hott): prove HoTT book Theorem 4.7.7
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2015-09-28 09:09:21 -07:00 |
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Ulrik Buchholtz
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ed1029641a
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fix(hott/*): update book.md and clean up homotopy.connectedness
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2015-09-28 09:09:21 -07:00 |
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Ulrik Buchholtz
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2c22501084
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feat(hott): prove HoTT book Theorem 4.7.6
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2015-09-28 09:09:21 -07:00 |
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Leonardo de Moura
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33f46fd137
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feat(library/blast): parse blast tactic and invoke stub
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2015-09-25 12:45:16 -07:00 |
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Leonardo de Moura
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4a6ff8058d
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fix(hott): import commands (some files have been moved to different directories)
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2015-09-25 09:39:45 -07:00 |
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Ulrik Buchholtz
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384a366e0f
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refactor(hott): move homotopy hits to new homotopy folder
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2015-09-24 22:52:33 -04:00 |
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Floris van Doorn
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732897340d
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fix(types): change some definitions to theorems
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2015-09-11 23:35:21 -07:00 |
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Floris van Doorn
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fb364f8bc7
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feat(types): add more equivalences between combinations of type constructors
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2015-09-11 23:35:21 -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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Floris van Doorn
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817d691237
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fix(hott/init/nat): also define ℕ in the top-level in HoTT
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2015-09-11 23:35:21 -07:00 |
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