diff --git a/src/HottBook/Chapter2.lagda.md b/src/HottBook/Chapter2.lagda.md index 52c6a2f..6c79ab6 100644 --- a/src/HottBook/Chapter2.lagda.md +++ b/src/HottBook/Chapter2.lagda.md @@ -149,11 +149,13 @@ lemma2∙3∙8 {l} {A} {B} f {x} {y} p = ### Lemma 2.3.11 ``` --- lemma2311 : {A : Set} {P Q : A → Set} (f : (x : A) → P x → Q x) --- → {x y : A} (p : x ≡ y) → (u : P x) --- → transport Q p (f x u) ≡ f y (transport P p u) --- lemma2311 {A} {P} {Q} f {x} {y} p u = --- J (λ the what → transport Q what (f x u) ≡ f the (transport P what u)) p refl +lemma2∙3∙11 : {A : Set} {P Q : A → Set} + → (f : (x : A) → P x → Q x) + → {x y : A} (p : x ≡ y) → (u : P x) + → transport Q p (f x u) ≡ f y (transport P p u) +lemma2∙3∙11 {A} {P} {Q} f {x} {y} p u = + J (λ a b p → transport Q p (f a {! !}) ≡ f b (transport P p {! !})) (λ a → {! !}) x y p + -- J (λ the what → transport Q what (f x u) ≡ f the (transport P what u)) p refl ``` ## 2.4 Homotopies and equivalences