Mercurial > hg > Members > kono > Proof > category
changeset 33:fefebc387eae
add Adj to Universal Mapping
author | Shinji KONO <kono@ie.u-ryukyu.ac.jp> |
---|---|
date | Mon, 22 Jul 2013 14:54:52 +0900 |
parents | 7862ad3b000f |
children | 306aa1873b2f |
files | universal-mapping.agda |
diffstat | 1 files changed, 14 insertions(+), 0 deletions(-) [+] |
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--- a/universal-mapping.agda Mon Jul 22 14:45:58 2013 +0900 +++ b/universal-mapping.agda Mon Jul 22 14:54:52 2013 +0900 @@ -50,5 +50,19 @@ field isAdjection : IsAdjunction A B U F η ε +Lemma1 : {c₁ c₂ ℓ c₁' c₂' ℓ' : Level} (A : Category c₁ c₂ ℓ) (B : Category c₁' c₂' ℓ') + { U : Functor B A } + { F : Functor A B } + { η : NTrans A A identityFunctor ( U ○ F ) } + { ε : NTrans B B ( F ○ U ) identityFunctor } -> + ( Adj : Adjunction A B U F η ε ) -> + record { + U = ? + ; F = ? + ; η = ? + ; _* = ? + } +Lemma1 adj = ? +