Theorems · Theorem · category theory

CategoryTheory.IsPullback.hom_ext

∀ {C : Type u₁} [inst : CategoryTheory.Category.{v₁, u₁} C] {P X Y Z : C} {fst : P ⟶ X} {snd : P ⟶ Y} {f : X ⟶ Z}
  {g : Y ⟶ Z},
  CategoryTheory.IsPullback fst snd f g →
    ∀ {W : C} {k l : W ⟶ P},
      CategoryTheory.CategoryStruct.comp k fst = CategoryTheory.CategoryStruct.comp l fst →
        CategoryTheory.CategoryStruct.comp k snd = CategoryTheory.CategoryStruct.comp l snd → k = l

Defined in

Mathlib.CategoryTheory.Limits.Shapes.Pullback.IsPullback.Defs

Cited by

16 results in Mathlib

Foundations

Depth 28 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CategoryTheory.Category