Theorems · Definition · category theory
CategoryTheory.Center.tensorObj
{C : Type u₁} →
[inst : CategoryTheory.Category.{v₁, u₁} C] →
[inst_1 : CategoryTheory.MonoidalCategory C] →
CategoryTheory.Center C → CategoryTheory.Center C → CategoryTheory.Center CAuxiliary definition for the MonoidalCategory instance on Center C.
- Defined in
- Mathlib.CategoryTheory.Monoidal.Center
- Cited by
- 7 results in Mathlib
- Foundations
- Depth 24 from the axioms · uses propext, Classical.choice, Quot.sound
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.Homproof · cited by 32,603
- CategoryTheory.MonoidalCategoryStruct.tensorObjproof · cited by 3,106
- CategoryTheory.MonoidalCategorystatement and proof · cited by 3,095
- CategoryTheory.Iso.symmproof · cited by 993
- CategoryTheory.MonoidalCategoryStruct.associatorproof · cited by 667
- CategoryTheory.Iso.transproof · cited by 566
- CategoryTheory.Centerstatement and proof · cited by 58
- CategoryTheory.MonoidalCategory.whiskerRightIsoproof · cited by 52
- CategoryTheory.MonoidalCategory.whiskerLeftIsoproof · cited by 37
- CategoryTheory.HalfBraiding.βproof · cited by 30
Cited by13
Results whose statement or proof uses this declaration.
- CategoryTheory.Center.tensorHomstatement · cited by 1
- CategoryTheory.Center.whiskerLeft_commstatement · cited by 1
- CategoryTheory.Center.whiskerRight_commstatement · cited by 1
- CategoryTheory.Center.associatorstatement · cited by 0
- CategoryTheory.Center.rightUnitorstatement · cited by 0
- CategoryTheory.Center.tensorHom_fstatement · cited by 0
- CategoryTheory.Center.whiskerRightstatement · cited by 0
- CategoryTheory.Center.tensorObj_fststatement and proof · cited by 0
- CategoryTheory.Center.tensorObj_snd_βstatement and proof · cited by 0
- CategoryTheory.Center.whiskerLeftstatement · cited by 0
- CategoryTheory.Center.whiskerLeft_comm_assocstatement and proof · cited by 0
- CategoryTheory.Center.leftUnitorstatement · cited by 0