Theorems · Inductive type · category theory
CategoryTheory.IsCommAddMonObj
{C : Type u₁} →
[inst : CategoryTheory.Category.{v₁, u₁} C] →
[inst_1 : CategoryTheory.MonoidalCategory C] →
[CategoryTheory.BraidedCategory C] → (X : C) → [CategoryTheory.AddMonObj X] → PropPredicate for an additive monoid object to be commutative.
- Defined in
- Mathlib.CategoryTheory.Monoidal.Mon
- Cited by
- 23 results in Mathlib
- Foundations
- Depth 3 from the axioms · uses no axioms
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites4
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
- CategoryTheory.BraidedCategorystatement · cited by 779
- CategoryTheory.AddMonObjstatement · cited by 158
Cited by32
Results whose statement or proof uses this declaration.
- CategoryTheory.Hom.addCommMonoidstatement and proof · cited by 2
- CategoryTheory.IsCommAddMonObj.add_commstatement and proof · cited by 2
- CategoryTheory.IsCommAddMonObj.add_comm'statement and proof · cited by 2
- CategoryTheory.AddGrp.Hom.hom_nsmulstatement and proof · cited by 1
- CategoryTheory.AddMonObj.add_add_add_commstatement and proof · cited by 1
- CategoryTheory.AddMonObj.add_add_add_comm'statement and proof · cited by 1
- CategoryTheory.AddMon.Hom.hom_nsmulstatement and proof · cited by 1
- CategoryTheory.isCommAddMonObj_iff_isAddCommutativestatement and proof · cited by 1
- CategoryTheory.AddGrp.Hom.hom_addstatement and proof · cited by 0
- CategoryTheory.AddGrp.Hom.hom_hom_negstatement and proof · cited by 0
- CategoryTheory.AddGrp.Hom.hom_hom_substatement and proof · cited by 0
- CategoryTheory.AddGrp.Hom.hom_hom_zsmulstatement and proof · cited by 0