Theorems · Theorem · category theory

CategoryTheory.Limits.pullbackZeroZeroIso_hom_fst

∀ {C : Type u_1} [inst : CategoryTheory.Category.{v_1, u_1} C] [inst_1 : CategoryTheory.Limits.HasZeroObject C]
  [inst_2 : CategoryTheory.Limits.HasZeroMorphisms C] (X Y : C) [inst_3 : CategoryTheory.Limits.HasBinaryProduct X Y],
  CategoryTheory.CategoryStruct.comp (CategoryTheory.Limits.pullbackZeroZeroIso X Y).hom
      CategoryTheory.Limits.prod.fst =
    CategoryTheory.Limits.pullback.fst 0 0

Defined in

Mathlib.CategoryTheory.Limits.Constructions.ZeroObjects

Cited by

0 results in Mathlib

Foundations

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

Assumes

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