# HG changeset patch # User Shinji KONO # Date 1491746330 -32400 # Node ID 9902722e157893cd3a568c8d56df46b2771d6050 # Parent 6277ac99db37467aa0ebdecb3b591c9d7157703e close diff -r 6277ac99db37 -r 9902722e1578 SetsCompleteness.agda --- a/SetsCompleteness.agda Sun Apr 09 22:56:26 2017 +0900 +++ b/SetsCompleteness.agda Sun Apr 09 22:58:50 2017 +0900 @@ -242,7 +242,14 @@ limit1 a t x ≡⟨⟩ record { snmap = λ i → ( TMap t i ) x ; snequ = λ {i} {j} f → elem (TMap t i x) (comm2 t f ) } - ≡⟨ ? ⟩ + ≡⟨ ≡cong2 ( λ x y → record { snmap = λ i → x i ; snequ = λ {i} {j} f → y x i j f } ) + ( extensionality Sets ( λ i → eq1 x i ) ) + ( extensionality Sets ( λ x' → + ( extensionality Sets ( λ i → + ( extensionality Sets ( λ j → + ( extensionality Sets ( λ f' → elm-cong (elem (x' i ) {!!} ) {!!} ( eq1 x i ) + )))))))) + ⟩ record { snmap = λ i → snmap (f x ) i ; snequ = snequ (f x) } ≡⟨⟩ f x