Theorems · Definition · category theory
CategoryTheory.CommMon.forget
(C : Type u₁) →
[inst : CategoryTheory.Category.{v₁, u₁} C] →
[inst_1 : CategoryTheory.MonoidalCategory C] →
[inst_2 : CategoryTheory.BraidedCategory C] → CategoryTheory.Functor (CategoryTheory.CommMon C) CThe forgetful functor from commutative monoid objects to the ambient category.
- Defined in
- Mathlib.CategoryTheory.Monoidal.CommMon_
- Cited by
- 4 results in Mathlib
- Foundations
- Depth 21 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites8
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
- CategoryTheory.Functorstatement · cited by 16,252
- CategoryTheory.Functor.compproof · cited by 6,529
- CategoryTheory.MonoidalCategorystatement and proof · cited by 3,095
- CategoryTheory.BraidedCategorystatement and proof · cited by 779
- CategoryTheory.CommMonstatement · cited by 85
- CategoryTheory.Mon.forgetproof · cited by 33
- CategoryTheory.CommMon.forget₂Monproof · cited by 22
Cited by4
Results whose statement or proof uses this declaration.
- CategoryTheory.CommGrp.forget₂CommMon_comp_forgetstatement · cited by 0
- CategoryTheory.CommMon.forget_mapstatement and proof · cited by 0
- CategoryTheory.CommMon.forget_objstatement and proof · cited by 0
- CategoryTheory.CommMon.forget₂Mon_comp_forgetstatement · cited by 0