Theorems · Definition · category theory
CategoryTheory.MonoidalCategory.tensorLeft
{C : Type u} →
[inst : CategoryTheory.Category.{v, u} C] → [CategoryTheory.MonoidalCategory C] → C → CategoryTheory.Functor C CTensoring on the left with a fixed object, as a functor.
- Defined in
- Mathlib.CategoryTheory.Monoidal.Category
- Cited by
- 170 results in Mathlib
- Foundations
- Depth 22 from the axioms, rests on 112 definitions · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites5
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.MonoidalCategory.curriedTensorproof · cited by 170
Cited by240
Results whose statement or proof uses this declaration.
- CategoryTheory.ihom.evstatement · cited by 38
- CategoryTheory.ihom.adjunctionstatement · cited by 31
- Bimod.tensorBimodstatement and proof · cited by 25
- CategoryTheory.ihom.coevstatement · cited by 19
- CategoryTheory.leftDistributorproof · cited by 15
- Bimod.TensorBimod.actLeftstatement and proof · cited by 15
- CategoryTheory.leftDistribproof · cited by 12
- CategoryTheory.MonoidalCategory.DayConvolution.associatorstatement and proof · cited by 11
- CategoryTheory.MonoidalClosed.uncurry_eqstatement · 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
Showing the 200 most cited of 240.