Theorems · Inductive type · category theory

CategoryTheory.IsMonHom

{C : Type u₁} →
  [inst : CategoryTheory.Category.{v₁, u₁} C] →
    [inst_1 : CategoryTheory.MonoidalCategory C] →
      {M N : C} → [CategoryTheory.MonObj M] → [CategoryTheory.MonObj N] → (M ⟶ N) → Prop

The property that a morphism between monoid objects is a monoid morphism.

Defined in

Mathlib.CategoryTheory.Monoidal.Mon

Cited by

56 results in Mathlib

Foundations

Depth 3 from the axioms · uses no axioms

Assumes

CategoryTheory.CategoryCategoryTheory.MonoidalCategoryCategoryTheory.MonObjCategoryTheory.MonObj