Theorems · Theorem · category theory

CategoryTheory.IsPullback.of_hasBinaryProduct

∀ {C : Type u₁} [inst : CategoryTheory.Category.{v₁, u₁} C] [inst_1 : CategoryTheory.Limits.HasZeroObject C]
  [inst_2 : CategoryTheory.Limits.HasZeroMorphisms C] {X Y : C} [inst_3 : CategoryTheory.Limits.HasBinaryProduct X Y],
  CategoryTheory.IsPullback CategoryTheory.Limits.prod.fst CategoryTheory.Limits.prod.snd 0 0

Defined in

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

Cited by

0 results in Mathlib

Foundations

Depth 34 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CategoryTheory.CategoryCategoryTheory.Limits.HasZeroObjectCategoryTheory.Limits.HasZeroMorphismsCategoryTheory.Limits.HasBinaryProduct