CategoryTheory.Comon

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

A comonoid object internal to a monoidal category. When the monoidal category is preadditive, this is also sometimes called a "coalgebra object".

Defined in: Mathlib.CategoryTheory.Monoidal.Comon_
Cited by: 125 results in Mathlib
Foundations: Depth 2 from the axioms, rests on 3 definitions · uses no axioms
Assumes: CategoryTheory.Category CategoryTheory.MonoidalCategory

Around this declaration

Dashed lines are statement dependencies; solid lines are citations in proofs.

Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.

Results whose statement or proof uses this declaration.