Mercurial > hg > Members > kono > Proof > category
changeset 434:3fdf0aedc21d
add discrete
author | Shinji KONO <kono@ie.u-ryukyu.ac.jp> |
---|---|
date | Sun, 27 Mar 2016 09:18:01 +0900 |
parents | 25478a0ba66b |
children | 9f014f34b988 |
files | limit-to.agda |
diffstat | 1 files changed, 2 insertions(+), 2 deletions(-) [+] |
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--- a/limit-to.agda Sat Mar 26 20:00:34 2016 +0900 +++ b/limit-to.agda Sun Mar 27 09:18:01 2016 +0900 @@ -292,7 +292,7 @@ record Nil {c₁ c₂ ℓ : Level} (A : Category c₁ c₂ ℓ) : Set ( c₁ ⊔ c₂ ⊔ ℓ ) where field nil : {a b : Obj A } → Hom A a b - nil-id : {a : Obj A } → A [ nil {a} {a} ≈ id1 A a ] + nil-id : {a : Obj A } → A [ nil {a} {a} ≈ id1 A a ] -- too strong but we need this nil-idL : {a b c : Obj A } → { f : Hom A a b } → A [ A [ nil {b} {c} o f ] ≈ nil {a} {c} ] nil-idR : {a b c : Obj A } → { f : Hom A b c } → A [ A [ f o nil {a} {b} ] ≈ nil {a} {c} ] @@ -493,7 +493,7 @@ ( nil none o f ) o h ≈⟨ car ( nil-idL none ) ⟩ nil none o h - ≈⟨ car ( nil-id none ) ⟩ + ≈⟨ car ( nil-id none ) ⟩ -- nil-id is need here id1 A a o h ≈⟨ idL ⟩ h