mk' — Mathlib

English

If F ≅ G and F is essentially surjective, then G is essentially surjective.

Русский

Если F и G изоморфны и F эссенциально сюръжен, то G тоже эссенциально сюръжен.

LaTeX

$$$F \cong G \land \operatorname{EssSurj}(F) \Rightarrow \operatorname{EssSurj}(G)$$$

Lean4

/-- Constructor for `EssentiallySmall C` from an explicit small category witness. -/
theorem mk' {C : Type u} [Category.{v} C] {S : Type w} [SmallCategory S] (e : C ≌ S) : EssentiallySmall.{w} C :=
  ⟨⟨S, _, ⟨e⟩⟩⟩

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