functoriality_faithful — Mathlib

English

The whiskering equivalence is an equivalence of bilimit structures when whiskering with an equivalence.

Русский

Эквиваленция взредви whisker образует эквиваленцию bilimit при взятии whisker.

LaTeX

$$$$ (c.whisker g).IsBilimit \\simeq c.IsBilimit. $$$$

Lean4

instance functoriality_faithful [G.PreservesZeroMorphisms] [G.Faithful] : (functoriality F G).Faithful where
  map_injective {_X} {_Y} f g h := BiconeMorphism.ext f g <| G.map_injective <| congr_arg BiconeMorphism.hom h

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