evaluation_preservesColimitsOfShape

English

A symmetric form of the inverse-limit map equality for F with a morphism f: i ⟶ j.

Русский

Симметричная форма равенства отображений для F и морфизма f: i ⟶ j.

LaTeX

$$$(\mathrm{limitObjIsoLimitCompEvaluation}\, F\, i)^{-1} \circ (\mathrm{limit}.map f) = \mathrm{limMap}(\mathrm{whiskerLeft} (\mathrm ev)) \circ (\mathrm{limitObjIsoLimitCompEvaluation}\, F\, j)^{-1}$$$

Lean4

instance evaluation_preservesColimitsOfShape [HasColimitsOfShape J C] (k : K) :
    PreservesColimitsOfShape J ((evaluation K C).obj k) where preservesColimit := inferInstance

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