Theorems · Theorem · category theory

CategoryTheory.Functor.mapZeroObject_inv

∀ {C : Type u₁} [inst : CategoryTheory.Category.{v₁, u₁} C] {D : Type u₂} [inst_1 : CategoryTheory.Category.{v₂, u₂} D]
  [inst_2 : CategoryTheory.Limits.HasZeroObject C] [inst_3 : CategoryTheory.Limits.HasZeroObject D]
  [inst_4 : CategoryTheory.Limits.HasZeroMorphisms C] [inst_5 : CategoryTheory.Limits.HasZeroMorphisms D]
  (F : CategoryTheory.Functor C D) [inst_6 : F.PreservesZeroMorphisms], F.mapZeroObject.inv = 0

Defined in

Mathlib.CategoryTheory.Limits.Preserves.Shapes.Zero

Cited by

0 results in Mathlib

Foundations

Depth 15 from the axioms · uses Classical.choice

Assumes

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