Theorems · Theorem · category theory

CategoryTheory.WideSubcategory.isoMk.congr_simp

∀ {C : Type u₁} [inst : CategoryTheory.Category.{v₁, u₁} C] {P : CategoryTheory.MorphismProperty C}
  [inst_1 : P.IsMultiplicative] {X Y : CategoryTheory.WideSubcategory P} (e e_1 : X.obj ≅ Y.obj) (e_e : e = e_1)
  (h₁ : P e.hom) (h₂ : P e.inv),
  CategoryTheory.WideSubcategory.isoMk e h₁ h₂ = CategoryTheory.WideSubcategory.isoMk e_1 ⋯ ⋯

Defined in

Mathlib.CategoryTheory.Monoidal.Widesubcategory

Cited by

0 results in Mathlib

Foundations

Depth 15 from the axioms · uses propext

Assumes

CategoryTheory.CategoryCategoryTheory.MorphismProperty.IsMultiplicative