Theorems · Definition · category theory

CategoryTheory.WideSubcategory.isoMk

{C : Type u₁} →
  [inst : CategoryTheory.Category.{v₁, u₁} C] →
    {P : CategoryTheory.MorphismProperty C} →
      [inst_1 : P.IsMultiplicative] →
        {X Y : CategoryTheory.WideSubcategory P} → (e : X.obj ≅ Y.obj) → P e.hom → P e.inv → (X ≅ Y)

Build an isomorphism in WideSubcategory P from an isomorphism in C.

Defined in

Mathlib.CategoryTheory.Widesubcategory

Cited by

6 results in Mathlib

Foundations

Depth 14 from the axioms · uses propext

Assumes

CategoryTheory.CategoryCategoryTheory.MorphismProperty.IsMultiplicative