Floris van Doorn
17ccc283a9
feat(hott): move basic theorems from colimit development to library.
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Most notable changes:
rename apo011 -> apd011 and apd011 -> apdt011
make an argument of pathover_of_eq explicit
2016-07-09 10:20:22 -07:00
Floris van Doorn
8db4676c46
feat(hott): various changes and additions in the HoTT library
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Add more theorems about mapping cylinders, fibers, truncated 2-quotient, truncated univalence, pre/postcomposition with an iso in a precategory.
renamings: equiv.refl -> equiv.rfl and equiv_eq <-> equiv_eq'
2016-05-06 14:27:27 -07:00
Floris van Doorn
f983724cf6
feat(pointed): merge pointed2 into pointed
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We move the basic notions of pointed types into init.pointed, to avoid cycles in the import graph. Also adds pointed versions of pi and sigma, with corresponding notation
2016-04-11 09:45:59 -07:00
Ulrik Buchholtz
1c52062f1e
chore(hott): standardize names of homotopy_of_inv_homotopy_post and friends
2016-03-23 09:22:55 -07:00
Ulrik Buchholtz
bd9e47c82c
feat(hott): functoriality of pushout; connectedness in is_conn namespace
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other changes:
- move result about connectedness of susp to homotopy.susp
- improved definition of circle multiplication
- improved the interface to join
2016-03-23 09:22:55 -07:00
Floris van Doorn
5cacebcf86
feat(hott): replace assert by have and merge namespace equiv.ops into equiv
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The coercion A ≃ B -> (A -> B) is now in namespace equiv. The notation ⁻¹ for symmetry of equivalences is not supported anymore. Use ⁻¹ᵉ
2016-03-03 10:13:21 -08:00
Floris van Doorn
bac6d99cc7
style(hott): rename Pointed to pType
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also rename sigma_equiv_sigma_id to sigma_equiv_sigma_right and similarly for pi
2016-02-22 11:15:38 -08:00
Floris van Doorn
43cf2ad23d
style(hott): replace all other occurrences of hprop/hset
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They are replaced by either Prop/Set or prop/set
2016-02-22 11:15:38 -08:00
Floris van Doorn
4e2cc66061
style(*): rename is_hprop/is_hset to is_prop/is_set
2016-02-22 11:15:38 -08:00
seulbaek
2c81c93d69
feat(hott/types/equiv): add is_trunc_equiv to equiv.hlean
2016-01-24 16:33:59 -08:00
Floris van Doorn
ae92e8c94d
feat(hit/two_quotient): give dependent eliminator for two_quotients
2015-11-22 18:29:37 -08:00
Floris van Doorn
d402b67d25
feat(hott/function): show that a function is embedding iff it has propositional fibers
2015-11-16 21:32:09 -08:00
Floris van Doorn
aa9f32a3bd
fix(init/equiv): make transport not an instance
2015-11-08 14:04:59 -08:00
Floris van Doorn
aac13a2ee7
fix(hott): minor changes to merge ulrik and my commits
2015-09-28 09:09:22 -07:00
Ulrik Buchholtz
25ed9d6e5a
feat(hott): prove HoTT book Theorem 4.7.7
2015-09-28 09:09:21 -07:00
Floris van Doorn
e84b22864f
feat(hott): various changes in the HoTT library
2015-09-11 23:35:21 -07:00
Floris van Doorn
bd3aa9cf54
feat(category): prove Theorem 9.5.9 from the HoTT book
2015-09-11 23:35:21 -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
cfddfdfa84
feat(hott/types): add characterization of lift, prove that Type.{u} is not an hset
2015-09-01 15:17:46 -07:00
Floris van Doorn
ad5cda48a8
refactor(hott): move cubical folder and files eq2, function and hprop_trunc from types/ to the root HoTT directory
2015-08-07 13:34:41 -07:00
Floris van Doorn
7a780b1b60
feat(hott): various minor changes in the HoTT library
2015-08-04 13:01:11 +02:00
Floris van Doorn
124c9d3d8a
feat(hott): various cleanup and fixes, rename \~ to ~, expand types.pointed
2015-06-25 22:31:40 -04:00
Floris van Doorn
43bcdd7994
feat(hott): remove sorry's in circle.hlean, characterize pathovers in degenerate pi's
2015-05-26 21:37:01 -07:00
Jeremy Avigad
33214f0895
refactor(hott/*): remove 'Module:' lines
2015-05-23 20:52:58 +10:00
Leonardo de Moura
e1c2340db2
fix(frontends/lean): consistent behavior for protected declarations
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see https://github.com/leanprover/lean/issues/604#issuecomment-103265608
closes #609
2015-05-18 22:35:18 -07:00
Floris van Doorn
9893de6194
feat(hit/circle): prove partly that the fundamental group of the circle is int
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Also add markdown files for nat and int
2015-05-07 16:39:04 -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
23e6a3131d
feat(precategory): add two redundant fields to precategory. Also some cleanup.
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In particular, all instances of "set_option apply.class_instance false" are removed
2015-04-29 10:04:06 -07:00
Floris van Doorn
86012d841b
fix(hott): make f explicit in is_equiv.mk and a bit of renaming in init
2015-04-29 10:04:06 -07:00
Floris van Doorn
e769fdd9dc
feat(hott): make some arguments in init.path implicit and rename apD to apd
2015-04-29 10:04:06 -07:00
Floris van Doorn
a79a3043ed
feat(hott/types): a bit of cleanup
2015-04-22 13:06:11 -07:00
Leonardo de Moura
75621df52b
feat(frontends/lean): uniform notation for lists in tactics
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closes #504
2015-03-27 17:54:48 -07:00
Floris van Doorn
ebba33057c
feat(hott): add arity.hlean, about multivariate functions
2015-03-16 17:15:51 -07:00
Leonardo de Moura
14aeac180a
refactor(library/algebra/category/constructions): more rewrite tactic tests
2015-03-12 20:27:11 -07:00
Floris van Doorn
3d7656078d
feat(hott/types): prove that 'is_equiv f' is an hprop
2015-03-04 00:22:51 -05:00
Floris van Doorn
da9b134dd8
feat(hott/types): start with proof that is_equiv is an hprop
2015-03-04 00:14:18 -05:00
