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Prove propositionality for naturality

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Frederik Hanghøj Iversen 2018-03-05 16:35:47 +01:00
parent 7f4a8a65b8
commit 3151fb3e46
1 changed files with 2 additions and 1 deletions
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src/Cat/Category/NaturalTransformation.agda
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@ -58,7 +58,8 @@ module NaturalTransformation {ℓc ℓc' ℓd ℓd' : Level}
NaturalTransformation = Σ Transformation Natural NaturalTransformation = Σ Transformation Natural
-- Think I need propPi and that arrows are sets -- Think I need propPi and that arrows are sets
postulate propIsNatural : (θ : _) → isProp (Natural θ) propIsNatural : (θ : _) → isProp (Natural θ)
propIsNatural θ x y i {A} {B} f = 𝔻.arrowsAreSets _ _ (x f) (y f) i
NaturalTransformation≡ : {α β : NaturalTransformation} NaturalTransformation≡ : {α β : NaturalTransformation}
→ (eq₁ : α .proj₁ ≡ β .proj₁) → (eq₁ : α .proj₁ ≡ β .proj₁)