Theorems · Definition · category theory

CategoryTheory.GradedObject.Monoidal.tensorObj

{I : Type u} →
  [inst : AddMonoid I] →
    {C : Type u_1} →
      [inst_1 : CategoryTheory.Category.{v_1, u_1} C] →
        [inst_2 : CategoryTheory.MonoidalCategory C] →
          (X₁ X₂ : CategoryTheory.GradedObject I C) → [X₁.HasTensor X₂] → CategoryTheory.GradedObject I C

The tensor product of two graded objects.

Defined in

Mathlib.CategoryTheory.GradedObject.Monoidal

Cited by

54 results in Mathlib

Foundations

Depth 25 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

AddMonoidCategoryTheory.CategoryCategoryTheory.MonoidalCategoryCategoryTheory.GradedObject.HasTensor