isColimitLocallyConstantPresheafDiagram

English

In Condensed, the diagram isColimitLocallyConstantPresheafDiagram describes the colimit for LocallyConstantPresheaf across Profinite, i.e., the isColimit is preserved along Profinite maps.

Русский

В Condensed диаграмма isColimitLocallyConstantPresheafDiagram описывает колимит локально-константного пресешефа через Profinite; колимит сохраняется под картинами Profinite.

LaTeX

$$$\\forall X,\\; isColimitLocallyConstantPresheafDiagram(X, S)$$$

Lean4

/-- `isColimitLocallyConstantPresheaf` in the case of `S.asLimit`. -/
noncomputable def isColimitLocallyConstantPresheafDiagram (S : Profinite) :
    IsColimit <| (locallyConstantPresheaf X).mapCocone S.asLimitCone.op :=
  isColimitLocallyConstantPresheaf _ _ S.asLimit

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