Theorems · Definition · category theory

CategoryTheory.Center.tensorHom

{C : Type u₁} →
  [inst : CategoryTheory.Category.{v₁, u₁} C] →
    [inst_1 : CategoryTheory.MonoidalCategory C] →
      {X₁ Y₁ X₂ Y₂ : CategoryTheory.Center C} → (X₁ ⟶ Y₁) → (X₂ ⟶ Y₂) → (X₁.tensorObj X₂ ⟶ Y₁.tensorObj Y₂)

Auxiliary definition for the MonoidalCategory instance on Center C.

Defined in: Mathlib.CategoryTheory.Monoidal.Center
Cited by: 1 results in Mathlib
Foundations: Depth 28 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes: CategoryTheory.Category CategoryTheory.MonoidalCategory

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Cites7

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 and proof · cited by 32,603
CategoryTheory.MonoidalCategorystatement and proof · cited by 3,095
CategoryTheory.MonoidalCategoryStruct.tensorHomproof · cited by 587
CategoryTheory.Centerstatement and proof · cited by 58
CategoryTheory.Center.Hom.fproof · cited by 33
CategoryTheory.Center.tensorObjstatement · cited by 7

Cited by1

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CategoryTheory.Center.tensorHom_fstatement and proof · cited by 0