Theorems · Theorem · category theory

CategoryTheory.IsPullback.zero_right

∀ {C : Type u₁} [inst : CategoryTheory.Category.{v₁, u₁} C] [inst_1 : CategoryTheory.Limits.HasZeroObject C]
  [inst_2 : CategoryTheory.Limits.HasZeroMorphisms C] (X : C),
  CategoryTheory.IsPullback 0 (CategoryTheory.CategoryStruct.id X) 0 0

The square with 0 : 0 ⟶ 0 on the right and 𝟙 X on the left is a pullback square.

Defined in

Mathlib.CategoryTheory.Limits.Shapes.Pullback.IsPullback.BicartesianSq

Cited by

1 results in Mathlib

Foundations

Depth 35 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CategoryTheory.CategoryCategoryTheory.Limits.HasZeroObjectCategoryTheory.Limits.HasZeroMorphisms