Theorems · Definition · category theory
CategoryTheory.MonoidalCategory.tensorRight
{C : Type u} →
[inst : CategoryTheory.Category.{v, u} C] → [CategoryTheory.MonoidalCategory C] → C → CategoryTheory.Functor C CTensoring on the right with a fixed object, as a functor.
- Defined in
- Mathlib.CategoryTheory.Monoidal.Category
- Cited by
- 119 results in Mathlib
- Foundations
- Depth 27 from the axioms, rests on 114 definitions · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites6
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
- CategoryTheory.Functor.objproof · cited by 19,642
- CategoryTheory.Functorstatement · cited by 16,252
- CategoryTheory.MonoidalCategorystatement and proof · cited by 3,095
- CategoryTheory.Functor.flipproof · cited by 320
- CategoryTheory.MonoidalCategory.curriedTensorproof · cited by 170
Cited by168
Results whose statement or proof uses this declaration.
- Bimod.tensorBimodstatement and proof · cited by 25
- CategoryTheory.rightDistributorproof · cited by 15
- Bimod.TensorBimod.actRightstatement and proof · cited by 14
- CategoryTheory.MonoidalCategory.DayConvolution.associatorstatement and proof · cited by 11
- CategoryTheory.rightDistribproof · cited by 11
- CategoryTheory.MonoidalCategory.tensorUnitRightproof · cited by 10
- CategoryTheory.MonoidalCategory.dayConvolutionInternalHomDiagramFunctorproof · cited by 10
- π_tensor_id_preserves_coequalizer_inv_descstatement and proof · cited by 9
- Bimod.AssociatorBimod.homstatement and proof · cited by 9
- Bimod.whiskerLeftstatement and proof · cited by 9
- Bimod.whiskerRightstatement and proof · cited by 9
- CategoryTheory.MonoidalCategory.DayConvolutionUnit.leftUnitorstatement and proof · cited by 9