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 DTransport a monoidal structure along an equivalence of (plain) categories.
- Cited by
- 8 results in Mathlib
- Foundations
- Depth 24 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites25
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.Homproof · cited by 32,603
- CategoryTheory.Functor.objproof · cited by 19,642
- CategoryTheory.Functor.mapproof · cited by 8,698
- CategoryTheory.MonoidalCategoryStruct.tensorObjproof · cited by 3,106
- CategoryTheory.MonoidalCategorystatement and proof · cited by 3,095
- CategoryTheory.MonoidalCategoryStruct.tensorUnitproof · cited by 1,384
- CategoryTheory.Equivalence.functorproof · cited by 1,268
- CategoryTheory.Equivalence.inverseproof · cited by 1,130
- CategoryTheory.Iso.symmproof · cited by 993
- CategoryTheory.MonoidalCategoryStruct.whiskerLeftproof · cited by 915
- CategoryTheory.MonoidalCategoryStruct.whiskerRightproof · cited by 903
Cited by8
Results whose statement or proof uses this declaration.
- CategoryTheory.Monoidal.transportStruct_associatorstatement · cited by 0
- CategoryTheory.Monoidal.transportStruct_leftUnitorstatement · cited by 0
- CategoryTheory.Monoidal.transportStruct_rightUnitorstatement · cited by 0
- CategoryTheory.Monoidal.transportStruct_tensorHomstatement · cited by 0
- CategoryTheory.Monoidal.transportStruct_tensorObjstatement · cited by 0
- CategoryTheory.Monoidal.transportStruct_tensorUnitstatement · cited by 0
- CategoryTheory.Monoidal.transportStruct_whiskerLeftstatement · cited by 0
- CategoryTheory.Monoidal.transportStruct_whiskerRightstatement · cited by 0