Theorems · Theorem · category theory

CategoryTheory.Limits.CatCospanTransformMorphism.ext

∀ {A : Type u₁} {B : Type u₂} {C : Type u₃} {A' : Type u₄} {B' : Type u₅} {C' : Type u₆}
  {inst : CategoryTheory.Category.{v₁, u₁} A} {inst_1 : CategoryTheory.Category.{v₂, u₂} B}
  {inst_2 : CategoryTheory.Category.{v₃, u₃} C} {F : CategoryTheory.Functor A B} {G : CategoryTheory.Functor C B}
  {inst_3 : CategoryTheory.Category.{v₄, u₄} A'} {inst_4 : CategoryTheory.Category.{v₅, u₅} B'}
  {inst_5 : CategoryTheory.Category.{v₆, u₆} C'} {F' : CategoryTheory.Functor A' B'} {G' : CategoryTheory.Functor C' B'}
  {ψ ψ' : CategoryTheory.Limits.CatCospanTransform F G F' G'}
  {x y : CategoryTheory.Limits.CatCospanTransformMorphism ψ ψ'},
  x.left = y.left → x.right = y.right → x.base = y.base → x = y

Defined in

Mathlib.CategoryTheory.Limits.Shapes.Pullback.Categorical.CatCospanTransform

Cited by

2 results in Mathlib

Foundations

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