Mercurial > hg > Members > kono > Proof > category
changeset 671:959954fc29f8
fix
author | Shinji KONO <kono@ie.u-ryukyu.ac.jp> |
---|---|
date | Mon, 30 Oct 2017 18:18:36 +0900 |
parents | 99065a1e56ea |
children | 749df4959d19 |
files | freyd.agda |
diffstat | 1 files changed, 5 insertions(+), 5 deletions(-) [+] |
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--- a/freyd.agda Mon Oct 30 18:14:41 2017 +0900 +++ b/freyd.agda Mon Oct 30 18:18:36 2017 +0900 @@ -30,11 +30,11 @@ preinitialArrow : ∀{a : Obj A } → Hom A ( FObj F preinitialObj ) a -- initial object - -record HasInitialObject {c₁ c₂ ℓ : Level} (A : Category c₁ c₂ ℓ) (i : Obj A) : Set (suc ℓ ⊔ (suc c₁ ⊔ suc c₂)) where - field - initial : ∀( a : Obj A ) → Hom A i a - uniqueness : { a : Obj A } → ( f : Hom A i a ) → A [ f ≈ initial a ] +-- now in cat-utility +-- record HasInitialObject {c₁ c₂ ℓ : Level} (A : Category c₁ c₂ ℓ) (i : Obj A) : Set (suc ℓ ⊔ (suc c₁ ⊔ suc c₂)) where +-- field +-- initial : ∀( a : Obj A ) → Hom A i a +-- uniqueness : { a : Obj A } → ( f : Hom A i a ) → A [ f ≈ initial a ] -- A complete catagory has initial object if it has PreInitial-SmallFullSubcategory