has_colimits_of_equivalence — Mathlib

English

Transport a HasColimitsOfSize instance across an equivalence of categories.

Русский

Переносим экземпляр HasColimitsOfSize через эквивалентность категорий.

LaTeX

$$has_colimits_of_equivalence (E) [E.IsEquivalence] [HasColimitsOfSize D] : HasColimitsOfSize C$$

Lean4

/-- Transport a `HasColimitsOfSize` instance across an equivalence. -/
theorem has_colimits_of_equivalence (E : C ⥤ D) [E.IsEquivalence] [HasColimitsOfSize.{v, u} D] :
    HasColimitsOfSize.{v, u} C :=
  ⟨fun _ _ => hasColimitsOfShape_of_equivalence E⟩

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