Theorems · Theorem · category theory

CategoryTheory.MorphismProperty.Comma.Hom.ext

∀ {A : Type u_1} {inst : CategoryTheory.Category.{v_1, u_1} A} {B : Type u_2}
  {inst_1 : CategoryTheory.Category.{v_2, u_2} B} {T : Type u_3} {inst_2 : CategoryTheory.Category.{v_3, u_3} T}
  {L : CategoryTheory.Functor A T} {R : CategoryTheory.Functor B T} {P : CategoryTheory.MorphismProperty T}
  {Q : CategoryTheory.MorphismProperty A} {W : CategoryTheory.MorphismProperty B}
  {X Y : CategoryTheory.MorphismProperty.Comma L R P Q W} {x y : X.Hom Y}, x.left = y.left → x.right = y.right → x = y

Defined in

Mathlib.CategoryTheory.MorphismProperty.Comma

Cited by

2 results in Mathlib

Foundations

Depth 13 from the axioms · uses no axioms