Theorems · Theorem · category theory

CategoryTheory.IsPullback.of_isBilimit

∀ {C : Type u₁} [inst : CategoryTheory.Category.{v₁, u₁} C] [inst_1 : CategoryTheory.Limits.HasZeroObject C]
  [inst_2 : CategoryTheory.Limits.HasZeroMorphisms C] {X Y : C} {b : CategoryTheory.Limits.BinaryBicone X Y}
  (h : b.IsBilimit), CategoryTheory.IsPullback b.fst b.snd 0 0

Defined in

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

Cited by

4 results in Mathlib

Foundations

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

Assumes

CategoryTheory.CategoryCategoryTheory.Limits.HasZeroObjectCategoryTheory.Limits.HasZeroMorphisms