Theorems · Theorem · category theory

CategoryTheory.Limits.inl_pushoutZeroZeroIso_hom

∀ {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.HasBinaryCoproduct X Y],
  CategoryTheory.CategoryStruct.comp (CategoryTheory.Limits.pushout.inl 0 0)
      (CategoryTheory.Limits.pushoutZeroZeroIso X Y).hom =
    CategoryTheory.Limits.coprod.inl

Defined in

Mathlib.CategoryTheory.Limits.Constructions.ZeroObjects

Cited by

1 results in Mathlib

Foundations

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

Assumes

CategoryTheory.CategoryCategoryTheory.Limits.HasZeroObjectCategoryTheory.Limits.HasZeroMorphismsCategoryTheory.Limits.HasBinaryCoproduct