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Merge branch 'master' into equality-iterated-sum-types
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maybemabeline authored Nov 8, 2023
2 parents a9d3b66 + a0503d1 commit 756e788
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2 changes: 1 addition & 1 deletion CITATION.cff
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Expand Up @@ -5,7 +5,7 @@ abstract: "The agda-unimath library is a community formalization project for uni
authors:
- family-names: "Rijke"
given-names: "Egbert"
- family-names: "Bonnevier"
- family-names: "Stenholm"
given-names: "Elisabeth"
- family-names: "Prieto-Cubides"
given-names: "Jonathan"
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2 changes: 1 addition & 1 deletion CITE-THIS-LIBRARY.md
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Expand Up @@ -5,7 +5,7 @@ BibTeX entry:

```text
@software{agda-unimath,
author = {Rijke, Egbert and Bonnevier, Elisabeth and Prieto-Cubides, Jonathan and Bakke, Fredrik and {others}},
author = {Rijke, Egbert and Stenholm, Elisabeth and Prieto-Cubides, Jonathan and Bakke, Fredrik and {others}},
license = {MIT},
title = {{The agda-unimath library}},
url = {https://github.com/UniMath/agda-unimath/}
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6 changes: 3 additions & 3 deletions CONTRIBUTORS.toml
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Expand Up @@ -32,11 +32,11 @@ in Trondheim. His research is on homotopy theory and higher category theory.
'''

[[contributors]]
displayName = "Elisabeth Bonnevier"
displayName = "Elisabeth Stenholm"
maintainer = true
usernames = [ "Elisabeth Bonnevier" ]
usernames = [ "Elisabeth Stenholm", "Elisabeth Bonnevier" ]
homepage = "https://elisabeth.bonnevier.one"
github = "elisabethbonnevier"
github = "elisabethstenholm"
bio = '''
Elisabeth is a PhD student at the University of Bergen. Her research is on
homotopy type theory.
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2 changes: 1 addition & 1 deletion HOME.md
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Expand Up @@ -8,7 +8,7 @@ typed programming language [Agda](https://github.com/agda/agda).
<img class="invertible-image" align="right" width="300" alt="agda-unimath" src="website/images/agda-unimath-logo.svg" />
</a>

The library project was created by Elisabeth Bonnevier, Jonathan Prieto-Cubides,
The library project was created by Elisabeth Stenholm, Jonathan Prieto-Cubides,
and Egbert Rijke, and is also maintained by Fredrik Bakke. Our goal is to create
an online encyclopedia of formalized mathematics containing an extensive
curriculum of topics from a univalent point of view. We think libraries of
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4 changes: 2 additions & 2 deletions README.md
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Expand Up @@ -2,8 +2,8 @@

The `agda-unimath` library is a community formalization project for univalent
mathematics in [Agda](https://github.com/agda/agda). The library project was
created by Elisabeth Bonnevier, Jonathan Prieto-Cubides, and Egbert Rijke, and
is also being maintained by Fredrik Bakke. Our goal is to formalize an extensive
created by Elisabeth Stenholm, Jonathan Prieto-Cubides, and Egbert Rijke, and is
also being maintained by Fredrik Bakke. Our goal is to formalize an extensive
curriculum of mathematics from the univalent point of view. Furthermore, we
think libraries of formalized mathematics have the potential to be useful, and
informative resources for mathematicians. Our library is designed to work
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23 changes: 11 additions & 12 deletions src/category-theory/groupoids.lagda.md
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Expand Up @@ -76,8 +76,8 @@ module _
id-hom-Groupoid = id-hom-Category category-Groupoid

comp-hom-Groupoid :
{x y z : obj-Groupoid} hom-Groupoid y z
hom-Groupoid x y hom-Groupoid x z
{x y z : obj-Groupoid}
hom-Groupoid y z hom-Groupoid x y hom-Groupoid x z
comp-hom-Groupoid = comp-hom-Category category-Groupoid

associative-comp-hom-Groupoid :
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fundamental-theorem-id
( is-contr-equiv'
( Σ ( Σ (type-1-Type X) (λ y x = y))
( λ yp
Σ ( Σ (pr1 yp = x) (λ q (q ∙ pr2 yp) = refl))
( λ ql (pr2 yp ∙ pr1 ql) = refl)))
( λ (y , p)
Σ ( Σ (y = x) (λ q q ∙ p = refl))
( λ (q , l) p ∙ q = refl)))
( ( equiv-tot
( λ y
equiv-tot
( λ p
associative-Σ
( y = x)
( λ q (q ∙ p) = refl)
( λ qr (p ∙ pr1 qr) = refl)))) ∘e
( λ q q ∙ p = refl)
( λ (q , r) p ∙ q = refl)))) ∘e
( associative-Σ
( type-1-Type X)
( λ y x = y)
( λ yp
Σ ( Σ (pr1 yp = x) (λ q (q ∙ pr2 yp) = refl))
( λ ql (pr2 yp ∙ pr1 ql) = refl))))
( λ (y , p)
Σ ( Σ (y = x) (λ q q ∙ p = refl))
( λ (q , l) p ∙ q = refl))))
( is-contr-iterated-Σ 2
( is-torsorial-path x ,
( x , refl) ,
( is-contr-equiv
( Σ (x = x) (λ q q = refl))
( equiv-tot
( λ q equiv-concat (inv right-unit) refl))
( equiv-tot (λ q equiv-concat (inv right-unit) refl))
( is-torsorial-path' refl)) ,
( refl , refl) ,
( is-proof-irrelevant-is-prop
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Expand Up @@ -146,28 +146,28 @@ module _
( comp-hom-Group
( symmetric-Group (raise-Fin-Set l (n +ℕ 2)))
( loop-group-Set (raise-Fin-Set l (n +ℕ 2)))
( abstract-group-Concrete-Group (UU-Fin-Group (lsuc l) 2))
( group-Concrete-Group (UU-Fin-Group (lsuc l) 2))
( comp-hom-Group
( loop-group-Set (raise-Fin-Set l (n +ℕ 2)))
( abstract-group-Concrete-Group (UU-Fin-Group l (n +ℕ 2)))
( abstract-group-Concrete-Group (UU-Fin-Group (lsuc l) 2))
( group-Concrete-Group (UU-Fin-Group l (n +ℕ 2)))
( group-Concrete-Group (UU-Fin-Group (lsuc l) 2))
( hom-group-hom-Concrete-Group
( UU-Fin-Group l (n +ℕ 2))
( UU-Fin-Group (lsuc l) 2)
( cartier-delooping-sign (n +ℕ 2)))
( hom-inv-iso-Group
( abstract-group-Concrete-Group (UU-Fin-Group l (n +ℕ 2)))
( group-Concrete-Group (UU-Fin-Group l (n +ℕ 2)))
( loop-group-Set (raise-Fin-Set l (n +ℕ 2)))
( iso-loop-group-fin-UU-Fin-Group l (n +ℕ 2))))
( hom-inv-symmetric-group-loop-group-Set (raise-Fin-Set l (n +ℕ 2))))
( comp-hom-Group
( symmetric-Group (raise-Fin-Set l (n +ℕ 2)))
( symmetric-Group (Fin-Set (n +ℕ 2)))
( abstract-group-Concrete-Group (UU-Fin-Group (lsuc l) 2))
( group-Concrete-Group (UU-Fin-Group (lsuc l) 2))
( comp-hom-Group
( symmetric-Group (Fin-Set (n +ℕ 2)))
( symmetric-Group (Fin-Set 2))
( abstract-group-Concrete-Group (UU-Fin-Group (lsuc l) 2))
( group-Concrete-Group (UU-Fin-Group (lsuc l) 2))
( symmetric-abstract-UU-fin-group-quotient-hom
( orientation-Complete-Undirected-Graph)
( even-difference-orientation-Complete-Undirected-Graph)
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