Floris van Doorn
9e492a8771
feat(category): more about adjoint functors
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This commit has multiple unfinished proofs (commented out)
2015-11-16 21:32:09 -08:00
Floris van Doorn
46dba4ee5e
refactor(category): move some files to subfolders, and create file with basic functors
2015-11-08 14:04:59 -08:00
Floris van Doorn
e14754a337
feat(category): start on proof of yoneda preserves limits and limit functor is left adjoint
2015-11-08 14:04:59 -08:00
Floris van Doorn
f2d07ca23c
feat(category): various small changes in category theory
2015-11-08 14:04:59 -08:00
Floris van Doorn
de1c47eda9
feat(categories): add exponential laws for categories
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also give nicer rules to construct equalities between (pre)categories
2015-11-08 14:04:59 -08:00
Floris van Doorn
0e7b7af1da
refactor(category): add new folder functor, split adjoint file into separate files
2015-11-08 14:04:59 -08:00
Floris van Doorn
18ec5f8b85
feat(categories): prove introduction rule for equivalences
2015-11-08 14:04:58 -08:00
Floris van Doorn
448178a045
feat(category.functor2): prove that the category of functors is complete and cocomplete if the codomain is
2015-11-08 14:04:58 -08:00
Floris van Doorn
3b7afad6ad
feat(category.hset): prove that the category of sets is cocomplete
2015-11-08 14:04:58 -08:00
Floris van Doorn
c7fd29f854
feat(category): start with the introduction rule for equivalences
2015-11-08 14:04:58 -08:00
Leonardo de Moura
d1e111fd6c
fix(hott,frontends/lean,library,library/tactic): make sure we can still compile the HoTT library
2015-11-08 14:04:55 -08:00
Floris van Doorn
115dedbd1c
fix(hott): notation spacing and markdown files
2015-10-02 16:26:10 -07:00
Floris van Doorn
2264759060
feat(category): define colimits as dual of limits
2015-09-28 09:09:22 -07:00
Floris van Doorn
df73931a6d
feat(category.opposite): prove that the opposite of a univalent category is univalent
2015-09-28 09:09:22 -07:00
Floris van Doorn
099bd95ebd
feat(category.limits): prove that being complete is a mere proposition for categories
2015-09-28 09:09:22 -07:00
Floris van Doorn
51edd0ad1d
feat(category.constructions.hset): prove that the category of sets is complete
2015-09-28 09:09:22 -07:00
Floris van Doorn
f82d1bd566
feat(category): add limits in a category
2015-09-28 09:09:22 -07:00
Floris van Doorn
6e23305c5d
feat(category): define terminal, initial, indiscrete and sum category
2015-09-28 09:09:21 -07:00
Floris van Doorn
1a3b363467
feat(category): prove that the yoneda embedding is an embedding
2015-09-11 23:35:21 -07:00
Floris van Doorn
fd89aa77a3
feat(hott): prove Yoneda lemma
2015-09-11 23:35:21 -07:00
Floris van Doorn
a8964adb9c
fix(hott): make sure there are no sorry's visible
2015-09-01 15:17:46 -07:00
Floris van Doorn
7e52c49dce
feat(hott): many changes is the HoTT library
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Prove that 'is_left_adjoint F' is a mere proposition, although this proof is commented out because it takes ~10 seconds
2015-09-01 15:17:46 -07:00
Floris van Doorn
7a780b1b60
feat(hott): various minor changes in the HoTT library
2015-08-04 13:01:11 +02:00
Leonardo de Moura
b3cd3efbb4
refactor(hott): fix "sorry"s at int/basic.hlean, and comment the remaining "sorry"s
2015-07-27 08:34:11 -07:00
Leonardo de Moura
4b1b3e277f
feat(frontends/lean): rename '[unfold-c]' to '[unfold]' and '[unfold-f]' to '[unfold-full]'
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see issue #693
2015-07-07 16:37:06 -07:00
Leonardo de Moura
de90926eed
refactor(hott): adjust HoTT library to new support for projections
2015-06-26 17:18:30 -07:00
Leonardo de Moura
8b7dc4e03a
feat(frontends/lean): apply eta-reduction in postprocessing step
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Perhaps, we should add an option to disable this new feature.
Remark: this commit makes commit 46d418a46d418a
2015-06-10 16:29:30 -07:00
Leonardo de Moura
6f6848968d
feat(frontends/lean/coercion_elaborator): "coercion lifting" for backtracking case
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closes #252
2015-05-30 16:44:26 -07:00
Floris van Doorn
0b12d51b25
feat(hott): use pathovers in all the recursors of hits
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move pathover file to the init folder
2015-05-26 21:37:01 -07:00
Floris van Doorn
54ed8a8e76
feat(hott): small changes in init and category
2015-05-26 21:37:01 -07:00
Jeremy Avigad
33214f0895
refactor(hott/*): remove 'Module:' lines
2015-05-23 20:52:58 +10:00
Floris van Doorn
c430d1d5ba
feat(category.constructions): define comma category
2015-05-18 15:59:55 -07:00
Floris van Doorn
2144036cdb
feat(hott.circle): prove that the fundamental group of the circle is equal to the integers, as groups
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Also many minor fixes at various places
2015-05-18 15:59:55 -07:00
Floris van Doorn
90f1a691fd
feat(hott): change notation of transport to correspond with standard library
2015-05-07 16:39:03 -07:00
Leonardo de Moura
21ee0a5ff9
refactor(hott/algebra/category/constructions/functor): cleanup proof
2015-05-07 15:29:02 -07:00
Leonardo de Moura
4e1146a2d5
refactor(hott,library): test new tactics in the HoTT and standard libraries
2015-05-02 22:22:31 -07:00
Leonardo de Moura
3912bc24c8
feat(frontends/lean): nicer syntax for 'intros' 'reverts' and 'clears'
2015-04-30 11:00:39 -07:00
Floris van Doorn
297d50378d
feat(hott): add definitions using truncations and theorems about them
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define embedding, (split) surjection, retraction, existential quantifier, 'or' connective
also add a whole bunch of theorems about these definitions
still has two sorry's which can be solved after #564 is closed
2015-04-29 10:04:07 -07:00
Floris van Doorn
40086d0084
feat(hott): standardize the naming of definitions proving equality of elements of a structure
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examples:
foo_eq : Pi {A B : foo}, _ -> A = B
foo_mk_eq : Pi _, foo.mk _ = foo.mk _ (if constructor is called "bar", then this becomes "bar_eq")
foo_eq_equiv : Pi {A B : foo}, (A = B) ≃ _
also changed priority of some instances of is_trunc
2015-04-29 10:04:06 -07:00
Floris van Doorn
b70841171a
fix(hott): rename retr and sect to right_inv and left_inv
2015-04-29 10:04:06 -07:00
Floris van Doorn
797a2d2047
refactor(category): merge precategory/ and category/, organize construction files differently.
2015-04-29 10:04:06 -07:00
