diff --git a/src/HottBook/Chapter2.lagda.md b/src/HottBook/Chapter2.lagda.md index 5dbe4b4..8c433c9 100644 --- a/src/HottBook/Chapter2.lagda.md +++ b/src/HottBook/Chapter2.lagda.md @@ -319,28 +319,26 @@ idToEquiv {A} {B} p = func , equiv func-inv : B → A func-inv b = transport id (sym p) b - homotopy : (func ∘ func-inv) ∼ id - homotopy x = - let - p* : A → B - p* = transport id p + p* : A → B + p* = transport id p - wtf x = transport id (sym p) (transport id p x) + wtf3 : A → A + wtf3 = J (λ A' B' p' → A → A') (λ A' → {! id !}) A B p - wtf2 : (func ∘ func-inv) ≡ wtf - wtf2 = refl + wtf3-is-id : wtf3 ∼ id + wtf3-is-id x = {! !} - wtf3 : A → A - wtf3 = J (λ A' B' p' → A' → A') (λ A' → id) A B p + wtf3-qinv : qinv wtf3 + wtf3-qinv = record + { g = wtf3 + ; α = λ x → {! !} + ; β = λ x → {! !} + } - wtf3-qinv : qinv wtf3 - wtf3-qinv = record - { g = wtf3 - ; α = λ _ → refl - ; β = λ _ → refl - } - - in {! !} + -- homotopy : (func ∘ func-inv) ∼ id + -- homotopy x = + -- let + -- in {! !} equiv = record { g = func-inv