 Frederik Hanghøj Iversen
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bb379fa196
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Implement category of presheaves
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2018-03-05 14:50:53 +01:00 |
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Frederik Hanghøj Iversen
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1bf565b87a
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Have yoneda without having a category of categories
I did break some things in Cat.Categories.Cat but since this is
unprovable anyways it's not that big a deal.
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2018-03-05 13:52:59 +01:00 |
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Frederik Hanghøj Iversen
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5c3616bca5
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Make argument to presheaf explicit
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2018-03-05 11:17:31 +01:00 |
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Frederik Hanghøj Iversen
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a4890a42cf
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Define Monoidal categories without depending on category of categories
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2018-03-05 11:13:58 +01:00 |
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Frederik Hanghøj Iversen
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5902c6121b
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Further reduce dependency on impossible facts.
Provide the data for the product in the category of categories without
requiring such a category to actually exist
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2018-03-05 11:07:42 +01:00 |
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Frederik Hanghøj Iversen
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77006011d3
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Minimize dependency on category of categories
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2018-03-05 10:35:33 +01:00 |
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Frederik Hanghøj Iversen
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8f8800cb67
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More stuff about kleisli \equiv monoidal
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2018-03-05 10:28:16 +01:00 |
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Frederik Hanghøj Iversen
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44526b85eb
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Move CwF
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2018-02-25 15:24:44 +01:00 |
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Frederik Hanghøj Iversen
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f0beec1530
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Rename Opposite to opposite
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2018-02-25 15:23:33 +01:00 |
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Frederik Hanghøj Iversen
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caddf83a09
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Let IsCategory reexport RawCategory
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2018-02-25 14:37:28 +01:00 |
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Frederik Hanghøj Iversen
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0ca11874bc
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Remove old name for functor composition
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2018-02-24 12:55:08 +01:00 |
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Frederik Hanghøj Iversen
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cb8533b84a
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Rename natural transformation composition
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2018-02-23 17:43:38 +01:00 |
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Frederik Hanghøj Iversen
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689a6467c6
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Move stuff about natural transformations to own module
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2018-02-23 17:33:09 +01:00 |
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Frederik Hanghøj Iversen
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5796b791b8
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Almost prove that arrows are sets in the cateogry of families
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2018-02-23 13:59:35 +01:00 |
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Frederik Hanghøj Iversen
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a321a9c8b2
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Use hLevels in Fam
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2018-02-23 13:39:59 +01:00 |
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Frederik Hanghøj Iversen
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3d0916f448
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Use correct name for hSets
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2018-02-23 13:20:30 +01:00 |
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Frederik Hanghøj Iversen
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4874ed0795
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Rename distrib to isDistributive
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2018-02-23 12:53:35 +01:00 |
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Frederik Hanghøj Iversen
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48423cc816
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Rename arrowIsSet to arrowsAreSets
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2018-02-23 12:51:44 +01:00 |
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Frederik Hanghøj Iversen
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6446435a49
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Rename ident to isIdentity
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2018-02-23 12:49:41 +01:00 |
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Frederik Hanghøj Iversen
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5cbc409770
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Rename assoc to isAssociative
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2018-02-23 12:43:49 +01:00 |
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Frederik Hanghøj Iversen
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852056cc44
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Add type-synonyms in functor
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2018-02-23 12:41:15 +01:00 |
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Frederik Hanghøj Iversen
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a57f45d93f
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Remove yet another postulate
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2018-02-23 12:33:20 +01:00 |
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Frederik Hanghøj Iversen
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34dec9406d
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Do not mention IsFunctor outside the module that defines it
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2018-02-23 12:29:10 +01:00 |
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Frederik Hanghøj Iversen
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885fd8fa69
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Drastically simplify proofs
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2018-02-23 12:15:39 +01:00 |
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Frederik Hanghøj Iversen
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3f3247c870
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Remove commented code
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2018-02-23 12:05:38 +01:00 |
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Frederik Hanghøj Iversen
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954a89f8d1
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Expose naturalIsProp
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2018-02-23 11:12:27 +01:00 |
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Frederik Hanghøj Iversen
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9a4d79fa4e
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Readd commented code
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2018-02-23 10:44:23 +01:00 |
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Frederik Hanghøj Iversen
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a87d404aad
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Refactor category of categories
No longer actually define the category. Just define the raw category and
a few results about it.
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2018-02-23 10:34:37 +01:00 |
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Frederik Hanghøj Iversen
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32b9ce2ea8
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Use new syntax in cat
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2018-02-22 15:31:54 +01:00 |
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Frederik Hanghøj Iversen
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a82095604d
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Remove unused function
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2018-02-21 14:05:10 +01:00 |
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Frederik Hanghøj Iversen
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9e96e704e8
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Update Fun according to new naming policy
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2018-02-21 13:40:24 +01:00 |
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Frederik Hanghøj Iversen
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57d7eab4cb
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Make sets a category according to HoTT
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2018-02-21 13:37:07 +01:00 |
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Frederik Hanghøj Iversen
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89ad60ffef
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Stuff about the free category
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2018-02-19 11:09:49 +01:00 |
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Frederik Hanghøj Iversen
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73ab4d1836
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Proove identity laws for natural transformations
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2018-02-16 12:46:25 +01:00 |
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Frederik Hanghøj Iversen
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a64e2484e3
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Prove associativity for natural transformations
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2018-02-16 12:24:58 +01:00 |
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Frederik Hanghøj Iversen
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7dc7a5aee3
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Prove that naturalTransformations are sets
Also adds a new module `Cat.Wishlist` of things I hope to put get from
upstream `cubical`.
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2018-02-16 12:03:02 +01:00 |
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Frederik Hanghøj Iversen
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23c458983c
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Rely on global cubical again
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2018-02-16 11:37:22 +01:00 |
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Frederik Hanghøj Iversen
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ad84b15da5
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[WIP] natural transformations are sets
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2018-02-16 10:22:46 +01:00 |
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Frederik Hanghøj Iversen
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7d4aae4f49
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Try to show that natural transformations are sets
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2018-02-09 12:09:59 +01:00 |
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Frederik Hanghøj Iversen
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56d689fb4b
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Use arrowIsSet to simplify equality constructor for functors
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2018-02-07 20:19:17 +01:00 |
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Frederik Hanghøj Iversen
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9349b37550
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Refactor Functor - only in module Functor
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2018-02-06 14:31:18 +01:00 |
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Frederik Hanghøj Iversen
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a27292dd53
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Stuff about the free category
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2018-02-06 11:27:22 +01:00 |
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Frederik Hanghøj Iversen
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9f1e82168f
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Move the free category
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2018-02-06 10:35:52 +01:00 |
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Frederik Hanghøj Iversen
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0688f5c372
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Rename arrowIsSet
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2018-02-06 10:34:43 +01:00 |
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Frederik Hanghøj Iversen
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e8ac6786ff
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Changes to the category of categories
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2018-02-05 16:35:33 +01:00 |
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Frederik Hanghøj Iversen
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e8215b2c05
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Move product, exponential, ...
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2018-02-05 14:59:53 +01:00 |
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Frederik Hanghøj Iversen
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83ccde62e9
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Use co-patterns
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2018-02-05 14:47:15 +01:00 |
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Frederik Hanghøj Iversen
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20dc9d26ac
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Move product, exponential and cart closed to own file
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2018-02-05 14:08:30 +01:00 |
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Frederik Hanghøj Iversen
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8022ed349d
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"re-delegate" projections in new module Category
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2018-02-05 12:21:39 +01:00 |
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Frederik Hanghøj Iversen
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22a9a71870
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Split Category into RawCategory and IsCategory
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2018-02-05 11:43:38 +01:00 |
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