Floris van Doorn
3d0d0947d6
various cleanup changes in library
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some of the changes are backported from the hott3 library
pi_pathover and pi_pathover' are interchanged (same for variants and for sigma)
various definitions received explicit arguments: pinverse and eq_equiv_homotopy and ***.sigma_char
eq_of_fn_eq_fn is renamed to inj
in definitions about higher loop spaces and homotopy groups, the natural number arguments are now consistently before the type arguments
2018-09-10 17:59:11 +02:00
Jakob von Raumer
8718a649c4
feat(hott) add first bit of proof of 9.9.4: construction of some gadgets and prove that they are contractible
2016-09-08 19:34:54 -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
e2b31a9b33
feat(hott): remove multiple_instances attribute
2016-03-03 10:13:20 -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
Leonardo de Moura
9bedbbb739
refactor(library,hott): remove coercions between algebraic structures
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They are classes, and mixing coercion with type class resolution is a
recipe for disaster (aka counterintuitive behavior).
2015-11-11 11:57:44 -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
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
Leonardo de Moura
744d1cba3d
feat(library,hott,frontends/lean): avoid keywords with hyphen
2015-11-08 14:04:54 -08:00
Floris van Doorn
e84b22864f
feat(hott): various changes in the HoTT library
2015-09-11 23:35:21 -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
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
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
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
797a2d2047
refactor(category): merge precategory/ and category/, organize construction files differently.
2015-04-29 10:04:06 -07:00