Theorems · Theorem · category theory

CategoryTheory.MorphismProperty.structuredArrow_iso_iff

∀ {A : Type u_1} [inst : CategoryTheory.Category.{v_1, u_1} A] {T : Type u_3}
  [inst_1 : CategoryTheory.Category.{v_3, u_3} T] (P : CategoryTheory.MorphismProperty T) [P.RespectsIso]
  {L : CategoryTheory.Functor A T} {X : T} {f g : CategoryTheory.StructuredArrow X L} (e : f ≅ g), P f.hom ↔ P g.hom

Defined in

Mathlib.CategoryTheory.MorphismProperty.Comma

Cited by

0 results in Mathlib

Foundations

Depth 26 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CategoryTheory.CategoryCategoryTheory.CategoryCategoryTheory.MorphismProperty.RespectsIso