Theorems · Theorem · category theory

CategoryTheory.ShortComplex.exact_kernel

∀ {C : Type u₁} [inst : CategoryTheory.Category.{v₁, u₁} C] [inst_1 : CategoryTheory.Abelian C] {X Y : C} (f : X ⟶ Y),
  { X₁ := CategoryTheory.Limits.kernel f, X₂ := X, X₃ := Y, f := CategoryTheory.Limits.kernel.ι f, g := f,
      zero := ⋯ }.Exact

Defined in

Mathlib.CategoryTheory.Abelian.Exact

Cited by

7 results in Mathlib

Foundations

Depth 94 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CategoryTheory.CategoryCategoryTheory.Abelian