Theorems · Theorem · category theory

CategoryTheory.MorphismProperty.comma_iso_iff

∀ {C : Type u} [inst : CategoryTheory.Category.{v, u} C] (P : CategoryTheory.MorphismProperty C) [P.RespectsIso]
  {A : Type u_1} {B : Type u_2} [inst_2 : CategoryTheory.Category.{v_1, u_1} A]
  [inst_3 : CategoryTheory.Category.{v_2, u_2} B] {L : CategoryTheory.Functor A C} {R : CategoryTheory.Functor B C}
  {f g : CategoryTheory.Comma L R} (e : f ≅ g), P f.hom ↔ P g.hom

Defined in

Mathlib.CategoryTheory.MorphismProperty.Basic

Cited by

5 results in Mathlib

Foundations

Depth 21 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CategoryTheory.CategoryCategoryTheory.MorphismProperty.RespectsIsoCategoryTheory.CategoryCategoryTheory.Category