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Code review cleanup
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VojtechStep committed Oct 10, 2023
1 parent 3eab010 commit 4b517a0
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8 changes: 4 additions & 4 deletions src/foundation/commuting-cubes-of-maps.lagda.md
Original file line number Diff line number Diff line change
Expand Up @@ -430,8 +430,8 @@ module _
( precomp-bottom-whisk-hA)
by
inv-htpy
( horizontal-concat-htpy
( horizontal-concat-htpy
( horizontal-concat-htpy²
( horizontal-concat-htpy²
( distributive-precomp-right-whisk-coherence-square-maps W hB h' h
( hD)
( inv-htpy front-left)
Expand Down Expand Up @@ -511,11 +511,11 @@ module _
( ( (precomp g' W) ·l precomp-front-right-inv) ∙h
( precomp-back-right-inv ·r (precomp k W)))
by
horizontal-concat-htpy
horizontal-concat-htpy²
( distributive-precomp-left-whisk-coherence-square-maps W g' f' k' h'
( top)
( hD))
( horizontal-concat-htpy
( horizontal-concat-htpy²
( distributive-precomp-right-whisk-coherence-square-maps W hC k' k
( hD)
( inv-htpy front-right)
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10 changes: 5 additions & 5 deletions src/foundation/commuting-squares-of-maps.lagda.md
Original file line number Diff line number Diff line change
Expand Up @@ -490,10 +490,10 @@ module _
( H)
( K)
( h) =
( compute-comp-htpy-precomp (H ∙h L) K W h) ∙
( compute-concat-htpy-precomp (H ∙h L) K W h) ∙
( ap
( _∙ precomp-coherence-triangle-maps diagonal-right right top K W h)
( compute-comp-htpy-precomp H L W h))
( compute-concat-htpy-precomp H L W h))

distributive-precomp-coherence-square-comp-htpy-coherence-triangle-maps' :
{ diagonal-left diagonal-right : A Y}
Expand Down Expand Up @@ -528,10 +528,10 @@ module _
( H)
( K)
( h) =
( compute-comp-htpy-precomp H (L ∙h K) W h) ∙
( compute-concat-htpy-precomp H (L ∙h K) W h) ∙
( ap
( precomp-coherence-triangle-maps' diagonal-left bottom left H W h ∙_)
( compute-comp-htpy-precomp L K W h))
( compute-concat-htpy-precomp L K W h))

distributive-precomp-coherence-square-comp-coherence-triangles-maps :
( diagonal : A Y)
Expand Down Expand Up @@ -564,5 +564,5 @@ module _
( H)
( K)
( h) =
compute-comp-htpy-precomp H K W h
compute-concat-htpy-precomp H K W h
```
4 changes: 2 additions & 2 deletions src/foundation/equality-dependent-pair-types.lagda.md
Original file line number Diff line number Diff line change
Expand Up @@ -130,11 +130,11 @@ module _
{ l1 l2 : Level} {A : UU l1} (B : A UU l2)
where

orthogonal-eq-pair-Σ :
triangle-eq-pair-Σ :
{ a a' : A} (p : a = a')
{ b : B a} {b' : B a'} (q : dependent-identification B p b b')
eq-pair-Σ p q = (eq-pair-Σ p refl ∙ eq-pair-Σ refl q)
orthogonal-eq-pair-Σ refl q = refl
triangle-eq-pair-Σ refl q = refl
```

## See also
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4 changes: 2 additions & 2 deletions src/foundation/homotopies.lagda.md
Original file line number Diff line number Diff line change
Expand Up @@ -135,11 +135,11 @@ module _
{ l1 l2 : Level} {A : UU l1} {B : A UU l2} {f g h : (a : A) B a}
where

horizontal-concat-htpy :
horizontal-concat-htpy² :
{ H H' : f ~ g} H ~ H'
{ K K' : g ~ h} K ~ K'
( H ∙h K) ~ (H' ∙h K')
horizontal-concat-htpy α β x = horizontal-concat-Id² (α x) (β x)
horizontal-concat-htpy² α β x = horizontal-concat-Id² (α x) (β x)
```

### Transposing homotopies is an equivalence
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Original file line number Diff line number Diff line change
Expand Up @@ -348,7 +348,7 @@ module _
( ap-id
( coherence-square-cocone-flattening-descent-data-pushout f g c P Q e
( s , t))) ∙
( orthogonal-eq-pair-Σ Q
( triangle-eq-pair-Σ Q
( coherence-square-cocone f g c s)
( inv (pr2 (pr2 e) s t))) ∙
( ap
Expand Down

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