Theorems · Definition · category theory
CategoryTheory.Mon.forget
(C : Type u₁) →
[inst : CategoryTheory.Category.{v₁, u₁} C] →
[inst_1 : CategoryTheory.MonoidalCategory C] → CategoryTheory.Functor (CategoryTheory.Mon C) CThe forgetful functor from monoid objects to the ambient category.
- Defined in
- Mathlib.CategoryTheory.Monoidal.Mon
- Cited by
- 33 results in Mathlib
- Foundations
- Depth 17 from the axioms · uses propext, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites7
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- CategoryTheory.Categorystatement and proof · cited by 32,673
- Quiver.Homproof · cited by 32,603
- CategoryTheory.Functorstatement · cited by 16,252
- CategoryTheory.MonoidalCategorystatement and proof · cited by 3,095
- CategoryTheory.Monstatement and proof · cited by 465
- CategoryTheory.Mon.Xproof · cited by 329
- CategoryTheory.Mon.Hom.homproof · cited by 200
Cited by46
Results whose statement or proof uses this declaration.
- CategoryTheory.Bimon.toComonproof · cited by 11
- CategoryTheory.Grp.forgetproof · cited by 7
- CategoryTheory.Monoidal.MonFunctorCategoryEquivalence.inverseObjproof · cited by 6
- CategoryTheory.Mon.limitstatement and proof · cited by 5
- CategoryTheory.Mon.limitConestatement and proof · cited by 5
- CategoryTheory.CommMon.forgetproof · cited by 4
- CategoryTheory.Mon.forgetMapConeLimitConeIsostatement and proof · cited by 2
- MonObj.mopEquivCompForgetIsostatement and proof · cited by 2
- CategoryTheory.Bimon.forgetproof · cited by 2
- CategoryTheory.Mon.limitConeIsLimitstatement and proof · cited by 1
- CategoryTheory.Monoidal.MonFunctorCategoryEquivalence.inverseObj_mon_mul_appstatement · cited by 0
- CategoryTheory.Monoidal.MonFunctorCategoryEquivalence.inverseObj_mon_one_appstatement · cited by 0