Theorems · Theorem · category theory

CategoryTheory.Monoidal.transportStruct_tensorObj

∀ {C : Type u₁} [inst : CategoryTheory.Category.{v₁, u₁} C] [inst_1 : CategoryTheory.MonoidalCategory C] {D : Type u₂}
  [inst_2 : CategoryTheory.Category.{v₂, u₂} D] (e : C ≌ D) (X Y : D),
  CategoryTheory.MonoidalCategoryStruct.tensorObj X Y =
    e.functor.obj (CategoryTheory.MonoidalCategoryStruct.tensorObj (e.inverse.obj X) (e.inverse.obj Y))

Defined in: Mathlib.CategoryTheory.Monoidal.Transport
Cited by: 0 results in Mathlib
Foundations: Depth 25 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes: CategoryTheory.Category CategoryTheory.MonoidalCategory CategoryTheory.Category

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CategoryTheory.Categorystatement and proof · cited by 32,673
CategoryTheory.Functor.objstatement · cited by 19,642
CategoryTheory.MonoidalCategoryStruct.tensorObjstatement and proof · cited by 3,106
CategoryTheory.MonoidalCategorystatement and proof · cited by 3,095
CategoryTheory.Equivalence.functorstatement · cited by 1,268
CategoryTheory.Equivalence.inversestatement · cited by 1,130
CategoryTheory.Equivalencestatement and proof · cited by 601
CategoryTheory.Monoidal.transportStructstatement · cited by 8

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