Theorems · Inductive type · category theory
CategoryTheory.MonObj
{C : Type u₁} → [inst : CategoryTheory.Category.{v₁, u₁} C] → [CategoryTheory.MonoidalCategory C] → C → Type v₁A 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
- 199 results in Mathlib
- Foundations
- Depth 2 from the axioms, rests on 3 definitions · uses no axioms
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites2
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- CategoryTheory.Categorystatement · cited by 32,673
- CategoryTheory.MonoidalCategorystatement · cited by 3,095
Cited by319
Results whose statement or proof uses this declaration.
- CategoryTheory.MonObj.mulstatement and proof · cited by 230
- CategoryTheory.MonObj.onestatement and proof · cited by 189
- CategoryTheory.IsMonHomstatement · cited by 56
- CategoryTheory.Hom.monoidstatement and proof · cited by 52
- CategoryTheory.ModObjstatement · cited by 38
- CategoryTheory.IsCommMonObjstatement · cited by 37
- CategoryTheory.ModObj.smulstatement and proof · cited by 36
- CategoryTheory.Modstatement · cited by 25
- CategoryTheory.Mod.Xstatement and proof · cited by 24
- CategoryTheory.Mod.Hom.homstatement and proof · cited by 15
- CategoryTheory.IsModHomstatement · cited by 12
- CategoryTheory.yonedaMonObjstatement and proof · cited by 12
Showing the 200 most cited of 319.