Theorems · Inductive type · category theory

CategoryTheory.NormalMono

{C : Type u₁} →
  [inst : CategoryTheory.Category.{v₁, u₁} C] →
    {X Y : C} → [CategoryTheory.Limits.HasZeroMorphisms C] → (X ⟶ Y) → Type (max u₁ v₁)

A normal monomorphism is a morphism which is the kernel of some morphism.

Defined in

Mathlib.CategoryTheory.Limits.Shapes.NormalMono.Basic

Cited by

4 results in Mathlib

Foundations

Depth 2 from the axioms · uses no axioms

Assumes

CategoryTheory.CategoryCategoryTheory.Limits.HasZeroMorphisms