Theorems · Theorem · category theory

CategoryTheory.Limits.kernel.condition

∀ {C : Type u} [inst : CategoryTheory.Category.{v, u} C] [inst_1 : CategoryTheory.Limits.HasZeroMorphisms C] {X Y : C}
  (f : X ⟶ Y) [inst_2 : CategoryTheory.Limits.HasKernel f],
  CategoryTheory.CategoryStruct.comp (CategoryTheory.Limits.kernel.ι f) f = 0

Defined in

Mathlib.CategoryTheory.Limits.Shapes.Kernels

Cited by

52 results in Mathlib

Foundations

Depth 28 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CategoryTheory.CategoryCategoryTheory.Limits.HasZeroMorphismsCategoryTheory.Limits.HasKernel