Theorems · Theorem · category theory

CategoryTheory.Center.rightUnitor_hom_f

∀ {C : Type u₁} [inst : CategoryTheory.Category.{v₁, u₁} C] [inst_1 : CategoryTheory.MonoidalCategory C]
  (X : CategoryTheory.Center C),
  (CategoryTheory.MonoidalCategoryStruct.rightUnitor X).hom.f =
    (CategoryTheory.MonoidalCategoryStruct.rightUnitor X.fst).hom

Defined in: Mathlib.CategoryTheory.Monoidal.Center
Cited by: 1 results in Mathlib
Foundations: Depth 31 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes: CategoryTheory.Category CategoryTheory.MonoidalCategory

Mathlib docs Source Loogle LeanSearch

Around this declaration

Dashed lines are statement dependencies; solid lines are citations in proofs.

Cites10

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.Iso.homstatement · cited by 7,684
CategoryTheory.MonoidalCategoryStruct.tensorObjstatement · cited by 3,106
CategoryTheory.MonoidalCategorystatement and proof · cited by 3,095
CategoryTheory.MonoidalCategoryStruct.tensorUnitstatement · cited by 1,384
CategoryTheory.MonoidalCategoryStruct.rightUnitorstatement · cited by 397
CategoryTheory.HalfBraidingstatement · cited by 62
CategoryTheory.Centerstatement and proof · cited by 58
CategoryTheory.Center.Hom.fstatement · cited by 33

Cited by1

Results whose statement or proof uses this declaration.

CategoryTheory.Center.rightUnitor_inv_fproof · cited by 0