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Theorems · Definition · category theory

CategoryTheory.Monoidal.transportStruct

{C : Type u₁} →
  [inst : CategoryTheory.Category.{v₁, u₁} C] →
    [CategoryTheory.MonoidalCategory C] →
      {D : Type u₂} → [inst_2 : CategoryTheory.Category.{v₂, u₂} D] → (C ≌ D) → CategoryTheory.MonoidalCategoryStruct D

Transport a monoidal structure along an equivalence of (plain) categories.

Defined in
Mathlib.CategoryTheory.Monoidal.Transport
Cited by
8 results in Mathlib
Foundations
Depth 24 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
CategoryTheory.CategoryCategoryTheory.MonoidalCategoryCategoryTheory.Category

Around this declaration

Dashed lines are statement dependencies; solid lines are citations in proofs.

CategoryTheory.Monoidal.transportStruct_associator · cited by 0Monoidal.transportStruct_…CategoryTheory.Monoidal.transportStruct_leftUnitor · cited by 0Monoidal.transportStruct_…CategoryTheory.Monoidal.transportStruct_rightUnitor · cited by 0Monoidal.transportStruct_…CategoryTheory.Monoidal.transportStruct_tensorHom · cited by 0Monoidal.transportStruct_…CategoryTheory.Monoidal.transportStruct_tensorObj · cited by 0Monoidal.transportStruct_…CategoryTheory.Monoidal.transportStruct_tensorUnit · cited by 0Monoidal.transportStruct_…CategoryTheory.Monoidal.transportStruct_whiskerLeft · cited by 0Monoidal.transportStruct_…CategoryTheory.Monoidal.transportStruct_whiskerRight · cited by 0Monoidal.transportStruct_…CategoryTheory.Category · cited by 32673CategoryTheory.CategoryQuiver.Hom · cited by 32603Quiver.HomCategoryTheory.Functor.obj · cited by 19642Functor.objCategoryTheory.Functor.map · cited by 8698Functor.mapCategoryTheory.MonoidalCategoryStruct.tensorObj · cited by 3106MonoidalCategoryStruct.te…CategoryTheory.MonoidalCategory · cited by 3095CategoryTheory.MonoidalCa…CategoryTheory.MonoidalCategoryStruct.tensorUnit · cited by 1384MonoidalCategoryStruct.te…CategoryTheory.Equivalence.functor · cited by 1268Equivalence.functorCategoryTheory.Equivalence.inverse · cited by 1130Equivalence.inverseCategoryTheory.Iso.symm · cited by 993Iso.symmCategoryTheory.MonoidalCategoryStruct.whiskerLeft · cited by 915MonoidalCategoryStruct.wh…CategoryTheory.MonoidalCategoryStruct.whiskerRight · cited by 903MonoidalCategoryStruct.wh…CategoryTheory.MonoidalCategoryStruct.associator · cited by 667MonoidalCategoryStruct.as…CategoryTheory.Equivalence · cited by 601CategoryTheory.EquivalenceCategoryTheory.MonoidalCategoryStruct.tensorHom · cited by 587MonoidalCategoryStruct.te…Monoidal.transportStructCITED BYCITES

Cites25

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Cited by8

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