Theorems · Definition · category theory

CategoryTheory.MonoidalCategory.Functor.curriedTensorPreIsoPost

{C : Type u_1} →
  [inst : CategoryTheory.Category.{v_1, u_1} C] →
    [inst_1 : CategoryTheory.MonoidalCategory C] →
      {D : Type u_2} →
        [inst_2 : CategoryTheory.Category.{v_2, u_2} D] →
          [inst_3 : CategoryTheory.MonoidalCategory D] →
            (F : CategoryTheory.Functor C D) →
              [F.Monoidal] →
                CategoryTheory.MonoidalCategory.curriedTensorPre F ≅ CategoryTheory.MonoidalCategory.curriedTensorPost F

The natural isomorphism of bifunctors F - ⊗ F - ≅ F (- ⊗ -), given a monoidal functor F.

Defined in

Mathlib.CategoryTheory.Monoidal.Multifunctor

Cited by

4 results in Mathlib

Foundations

Depth 35 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CategoryTheory.CategoryCategoryTheory.MonoidalCategoryCategoryTheory.CategoryCategoryTheory.MonoidalCategoryCategoryTheory.Functor.Monoidal