Theorems · Theorem · category theory

CategoryTheory.MorphismProperty.Over.isoMk.congr_simp

∀ {T : Type u_1} [inst : CategoryTheory.Category.{v_1, u_1} T] {P Q : CategoryTheory.MorphismProperty T} {X : T}
  [inst_1 : Q.IsMultiplicative] [inst_2 : Q.RespectsIso] {A B : P.Over Q X} (f f_1 : A.left ≅ B.left) (e_f : f = f_1)
  (w : CategoryTheory.CategoryStruct.comp f.hom B.hom = A.hom),
  CategoryTheory.MorphismProperty.Over.isoMk f w = CategoryTheory.MorphismProperty.Over.isoMk f_1 ⋯

Defined in

Mathlib.CategoryTheory.MorphismProperty.OverAdjunction

Cited by

0 results in Mathlib

Foundations

Depth 65 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CategoryTheory.CategoryCategoryTheory.MorphismProperty.IsMultiplicativeCategoryTheory.MorphismProperty.RespectsIso