Theorems · Definition · category theory

CategoryTheory.MorphismProperty.diagonal

{C : Type u} →
  [inst : CategoryTheory.Category.{v, u} C] →
    [CategoryTheory.Limits.HasPullbacks C] → CategoryTheory.MorphismProperty C → CategoryTheory.MorphismProperty C

For P : MorphismProperty C, P.diagonal is a morphism property that holds for f : X ⟶ Y whenever P holds for X ⟶ Y xₓ Y.

Defined in

Mathlib.CategoryTheory.MorphismProperty.Limits

Cited by

12 results in Mathlib

Foundations

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

Assumes

CategoryTheory.CategoryCategoryTheory.Limits.HasPullbacks