Mercurial > hg > Members > kono > Proof > category
changeset 857:8e31f61ab251
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author | Shinji KONO <kono@ie.u-ryukyu.ac.jp> |
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date | Sun, 05 Apr 2020 10:02:02 +0900 |
parents | a6f31c39b5f2 |
children | 9d9cba1f831e |
files | CCCGraph1.agda |
diffstat | 1 files changed, 14 insertions(+), 13 deletions(-) [+] |
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--- a/CCCGraph1.agda Sun Apr 05 09:43:47 2020 +0900 +++ b/CCCGraph1.agda Sun Apr 05 10:02:02 2020 +0900 @@ -78,20 +78,21 @@ idem-eval (iv π' (iv g h)) | < t , t₁ > | m = idem-<r> m idem-eval (iv ε (iv g h)) | < t , t₁ > | m = cong ( λ k → iv ε k ) m idem-eval (iv (f *) (iv g h)) | < t , t₁ > | m = cong ( λ k → iv (f *) k ) m - idem-eval (iv (arrow x) (iv g h)) | iv f1 (id a) | m = cong ( λ k → iv (arrow x) k ) m - idem-eval (iv π (iv g h)) | iv f1 (id a) | m = cong ( λ k → iv π k ) m + idem-eval (iv (arrow x) (iv g h)) | iv f1 (id a) | m = cong ( λ k → iv (arrow x) k ) m + idem-eval (iv π (iv g h)) | iv f1 (id a) | m = cong ( λ k → iv π k ) m idem-eval (iv π' (iv g h)) | iv f1 (id a) | m = cong ( λ k → iv π' k ) m - idem-eval (iv ε (iv g h)) | iv f1 (id a) | m = cong ( λ k → iv ε k ) m - idem-eval (iv (f *) (iv g h)) | iv f1 (id a) | m = cong ( λ k → iv (f *) k ) m - idem-eval (iv (f *) (iv g h)) | iv f1 (○ a) | m = cong ( λ k → iv (f *) k ) m - idem-eval (iv (arrow x) (iv g h)) | iv π < t , t₁ > | m = ? - idem-eval (iv (arrow x) (iv g h)) | iv π' < t , t₁ > | m = ? - idem-eval (iv (arrow x) (iv g h)) | iv ε < t , t₁ > | m = ? - idem-eval (iv π (iv g h)) | iv f1 < t , t₁ > | m = {!!} - idem-eval (iv π' (iv g h)) | iv f1 < t , t₁ > | m = {!!} - idem-eval (iv ε (iv g h)) | iv f1 < t , t₁ > | m = {!!} - idem-eval (iv (f *) (iv g h)) | iv f1 < t , t₁ > | m = {!!} - idem-eval (iv f (iv g h)) | iv f1 (iv f₁ t) | m = {!!} + idem-eval (iv ε (iv g h)) | iv f1 (id a) | m = cong ( λ k → iv ε k ) m + idem-eval (iv (f *) (iv g h)) | iv f1 (id a) | m = cong ( λ k → iv (f *) k ) m + idem-eval (iv (f *) (iv g h)) | iv f1 (○ a) | m = cong ( λ k → iv (f *) k ) m + idem-eval (iv f (iv g h)) | iv π < t , t₁ > | m = {!!} + idem-eval (iv f (iv g h)) | iv π' < t , t₁ > | m = {!!} + idem-eval (iv (arrow x) (iv g h)) | iv ε < t , t₁ > | m = cong ( λ k → iv (arrow x) k ) m + idem-eval (iv π (iv g h)) | iv ε < t , t₁ > | m = cong ( λ k → iv π k ) m + idem-eval (iv π' (iv g h)) | iv ε < t , t₁ > | m = cong ( λ k → iv π' k ) m + idem-eval (iv ε (iv g h)) | iv ε < t , t₁ > | m = cong ( λ k → iv ε k ) m + idem-eval (iv (f *) (iv g h)) | iv ε < t , t₁ > | m = cong ( λ k → iv (f *) k ) m + idem-eval (iv (f *) (iv g h)) | iv (f1 *) < t , t₁ > | m = cong ( λ k → iv (f *) k ) m + idem-eval (iv f (iv g h)) | iv f1 (iv f₁ t) | m = {!!} _・_ : {a b c : Objs } (f : Arrows b c ) → (g : Arrows a b) → Arrows a c id a ・ g = g