Mercurial > hg > Members > kono > Proof > category
changeset 870:d925b07aa8b5
... dead end
author | Shinji KONO <kono@ie.u-ryukyu.ac.jp> |
---|---|
date | Wed, 08 Apr 2020 17:48:24 +0900 |
parents | 65b7edb4db13 |
children | 4d50d51e9410 |
files | CCCGraph1.agda |
diffstat | 1 files changed, 4 insertions(+), 3 deletions(-) [+] |
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--- a/CCCGraph1.agda Wed Apr 08 17:34:19 2020 +0900 +++ b/CCCGraph1.agda Wed Apr 08 17:48:24 2020 +0900 @@ -156,9 +156,10 @@ idem-eval (iv π' (iv g h)) | < t , t₁ > | m | _ = refl-<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 f (iv g h)) | iv f₁ t | m | record { eq = ee } = trans lemma (cong ( λ k → iv f k ) m ) where - lemma : eval (iv f (iv f₁ t)) ≡ iv f (eval (iv f₁ t)) - lemma = std-iv f f₁ t {!!} + idem-eval (iv f (iv g h)) | iv f₁ t | m | record { eq = ee } = {!!} + -- trans lemma (cong ( λ k → iv f k ) m ) where + -- lemma : eval (iv f (iv f₁ t)) ≡ iv f (eval (iv f₁ t)) + -- lemma = std-iv f f₁ t {!!} assoc-iv : {a b c d : Objs} (x : Arrow c d) (f : Arrows b c) (g : Arrows a b ) → eval (iv x (f ・ g)) ≡ eval (iv x f ・ g) assoc-iv x (id a) g = {!!}