Theorems · Theorem · category theory

CategoryTheory.Limits.BinaryBiconeMorphism.winl_assoc

∀ {C : Type uC} [inst : CategoryTheory.Category.{uC', uC} C] [inst_1 : CategoryTheory.Limits.HasZeroMorphisms C]
  {P Q : C} {A B : CategoryTheory.Limits.BinaryBicone P Q} (self : CategoryTheory.Limits.BinaryBiconeMorphism A B)
  {Z : C} (h : B.pt ⟶ Z),
  CategoryTheory.CategoryStruct.comp A.inl (CategoryTheory.CategoryStruct.comp self.hom h) =
    CategoryTheory.CategoryStruct.comp B.inl h

The triangle consisting of the two natural transformations and hom commutes

Defined in

Mathlib.CategoryTheory.Limits.Shapes.BinaryBiproducts

Cited by

0 results in Mathlib

Foundations

Depth 6 from the axioms · uses Quot.sound

Assumes

CategoryTheory.CategoryCategoryTheory.Limits.HasZeroMorphisms