Theorems · Inductive type · category theory

CategoryTheory.Mon

(C : Type u₁) → [inst : CategoryTheory.Category.{v₁, u₁} C] → [CategoryTheory.MonoidalCategory C] → Type (max u₁ v₁)

A monoid object internal to a monoidal category. When the monoidal category is preadditive, this is also sometimes called an "algebra object".

Defined in

Mathlib.CategoryTheory.Monoidal.Mon

Cited by

465 results in Mathlib

Foundations

Depth 2 from the axioms, rests on 3 definitions · uses no axioms

Assumes

CategoryTheory.CategoryCategoryTheory.MonoidalCategory