Theorems · Definition · category theory

CategoryTheory.Center.associator

{C : Type u₁} →
  [inst : CategoryTheory.Category.{v₁, u₁} C] →
    [inst_1 : CategoryTheory.MonoidalCategory C] →
      (X Y Z : CategoryTheory.Center C) → (X.tensorObj Y).tensorObj Z ≅ X.tensorObj (Y.tensorObj Z)

Auxiliary definition for the MonoidalCategory instance on Center C.

Defined in: Mathlib.CategoryTheory.Monoidal.Center
Cited by: 0 results in Mathlib
Foundations: Depth 26 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes: CategoryTheory.Category CategoryTheory.MonoidalCategory

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CategoryTheory.Categorystatement and proof · cited by 32,673
CategoryTheory.Iso.homproof · cited by 7,684
CategoryTheory.Isostatement · cited by 3,963
CategoryTheory.MonoidalCategorystatement and proof · cited by 3,095
CategoryTheory.MonoidalCategoryStruct.associatorproof · cited by 667
CategoryTheory.Centerstatement and proof · cited by 58
CategoryTheory.Center.tensorObjstatement · cited by 7
CategoryTheory.Center.isoMkproof · cited by 3

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