Mercurial > hg > Members > kono > Proof > category
changeset 557:9902722e1578
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author | Shinji KONO <kono@ie.u-ryukyu.ac.jp> |
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date | Sun, 09 Apr 2017 22:58:50 +0900 |
parents | 6277ac99db37 |
children | c2eb1a2570ce |
files | SetsCompleteness.agda |
diffstat | 1 files changed, 8 insertions(+), 1 deletions(-) [+] |
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--- 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