Theorems · Theorem · category theory
CategoryTheory.IsCommAddMonObj.add_comm
∀ {C : Type u₁} {inst : CategoryTheory.Category.{v₁, u₁} C} {inst_1 : CategoryTheory.MonoidalCategory C}
{inst_2 : CategoryTheory.BraidedCategory C} (X : C) {inst_3 : CategoryTheory.AddMonObj X}
[self : CategoryTheory.IsCommAddMonObj X],
CategoryTheory.CategoryStruct.comp (β_ X X).hom CategoryTheory.AddMonObj.add = CategoryTheory.AddMonObj.add- Defined in
- Mathlib.CategoryTheory.Monoidal.Mon
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 4 from the axioms · uses no axioms
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites11
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.Homstatement · cited by 32,603
- CategoryTheory.CategoryStruct.compstatement · cited by 17,999
- CategoryTheory.Iso.homstatement · cited by 7,684
- CategoryTheory.MonoidalCategoryStruct.tensorObjstatement · cited by 3,106
- CategoryTheory.MonoidalCategorystatement and proof · cited by 3,095
- CategoryTheory.BraidedCategorystatement and proof · cited by 779
- CategoryTheory.BraidedCategory.braidingstatement · cited by 257
- CategoryTheory.AddMonObjstatement and proof · cited by 158
- CategoryTheory.AddMonObj.addstatement · cited by 134
- CategoryTheory.IsCommAddMonObjstatement and proof · cited by 23
Cited by2
Results whose statement or proof uses this declaration.
- CategoryTheory.IsCommAddMonObj.add_comm'proof · cited by 2
- CategoryTheory.AddMonObj.add_add_add_commproof · cited by 1