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Update src/foundation-core/functoriality-function-types.lagda.md
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Co-authored-by: Egbert Rijke <[email protected]>
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VojtechStep and EgbertRijke authored Oct 10, 2023
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Expand Up @@ -73,14 +73,14 @@ compute-htpy-precomp-refl-htpy :
compute-htpy-precomp-refl-htpy f C h = eq-htpy-refl-htpy (h ∘ f)
```

### Precomposition preserves composition of homotopies
### Precomposition preserves concatenation of homotopies

```agda
compute-comp-htpy-precomp :
compute-concat-htpy-precomp :
{ l1 l2 l3 : Level} {A : UU l1} {B : UU l2}
{ f g h : A B} (H : f ~ g) (K : g ~ h) (C : UU l3)
htpy-precomp (H ∙h K) C ~ (htpy-precomp H C ∙h htpy-precomp K C)
compute-comp-htpy-precomp H K C k =
compute-concat-htpy-precomp H K C k =
( ap
( eq-htpy)
( eq-htpy (distributive-left-whisk-concat-htpy k H K))) ∙
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