Theorems · Theorem · category theory

CategoryTheory.Limits.BinaryBiconeMorphism.ext

∀ {C : Type uC} [inst : CategoryTheory.Category.{uC', uC} C] [inst_1 : CategoryTheory.Limits.HasZeroMorphisms C]
  {P Q : C} {c c' : CategoryTheory.Limits.BinaryBicone P Q} (f g : c ⟶ c'), f.hom = g.hom → f = g

We do not want simps automatically generate the lemma for simplifying the Hom field of -- a category. So we need to write the ext lemma in terms of the categorical morphism, rather than the underlying structure.

Defined in

Mathlib.CategoryTheory.Limits.Shapes.BinaryBiproducts

Cited by

1 results in Mathlib

Foundations

Depth 13 from the axioms · uses propext, Quot.sound

Assumes

CategoryTheory.CategoryCategoryTheory.Limits.HasZeroMorphisms