isLocallySurjective_whisker_iff — Mathlib

English

Simplicial lemma for isLocallySurjective whiskering; a routine equality about functorial action.

Русский

Лемма-упрощение для локальной сюръективности whisker.

LaTeX

$$$\text{(simp) }\text{imageSieve}_F = \text{imageSieve}_F$$$

Lean4

theorem isLocallySurjective_whisker_iff (hH : CoverPreserving J K H) [H.IsCocontinuous J K] [H.IsCoverDense K] :
    IsLocallySurjective J (whiskerLeft H.op f) ↔ IsLocallySurjective K f :=
  ⟨fun _ ↦ isLocallySurjective_of_whisker J K H f hH, fun _ ↦ isLocallySurjective_whisker J K H f⟩

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