Mercurial > hg > Members > kono > Proof > category
diff pullback.agda @ 779:6b4bd02efd80
CCC start
author | Shinji KONO <kono@ie.u-ryukyu.ac.jp> |
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date | Sat, 06 Oct 2018 13:42:27 +0900 |
parents | 984518c56e96 |
children |
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--- a/pullback.agda Wed Sep 26 20:17:09 2018 +0900 +++ b/pullback.agda Sat Oct 06 13:42:27 2018 +0900 @@ -320,16 +320,16 @@ -- -- Γu -- → Γj → Γk ← --- / ↑ ↑ \ --- proj j / | | \ proj k --- / μu| |μu \ Equalizer have to be independent from j and k +-- / ↑ ↑ \ +-- proj j / | | \ proj k +-- / μu| |μu \ Equalizer have to be independent from j and k -- | | | | so we need products of Obj I and Hom I -- |product of Hom I | -- | ↑ ↑ | K u = id lim --- | f(id)} | | --- | | |g(Γ) | lim = K j -----------→ K k = lim +-- | } | | +-- | f(id)| |g(Γ) | lim = K j -----------→ K k = lim -- | | | | | u | --- \ | | / proj j o e = ε j | | ε k = proj k o e +-- \ | | / proj j o e = ε j | | ε k = proj k o e -- product of Obj I μ u o g o e | | μ u o f o e -- ↑ | | -- | e = equalizer f g | |