Theorems · Theorem · category theory

CategoryTheory.Limits.BinaryBicones.functoriality_obj_inr

∀ {C : Type uC} [inst : CategoryTheory.Category.{uC', uC} C] [inst_1 : CategoryTheory.Limits.HasZeroMorphisms C]
  {D : Type uD} [inst_2 : CategoryTheory.Category.{uD', uD} D] [inst_3 : CategoryTheory.Limits.HasZeroMorphisms D]
  (P Q : C) (F : CategoryTheory.Functor C D) [inst_4 : F.PreservesZeroMorphisms]
  (A : CategoryTheory.Limits.BinaryBicone P Q),
  ((CategoryTheory.Limits.BinaryBicones.functoriality P Q F).obj A).inr = F.map A.inr

Defined in

Mathlib.CategoryTheory.Limits.Shapes.BinaryBiproducts

Cited by

0 results in Mathlib

Foundations

Depth 16 from the axioms · uses propext, Quot.sound

Assumes

CategoryTheory.CategoryCategoryTheory.Limits.HasZeroMorphismsCategoryTheory.CategoryCategoryTheory.Limits.HasZeroMorphismsCategoryTheory.Functor.PreservesZeroMorphisms