Theorems · Definition · category theory
CategoryTheory.MonoidalCategoryStruct.whiskerLeft
{C : Type u} →
{𝒞 : CategoryTheory.Category.{v, u} C} →
[self : CategoryTheory.MonoidalCategoryStruct C] →
(X : C) →
{Y₁ Y₂ : C} →
(Y₁ ⟶ Y₂) →
(CategoryTheory.MonoidalCategoryStruct.tensorObj X Y₁ ⟶
CategoryTheory.MonoidalCategoryStruct.tensorObj X Y₂)left whiskering for morphisms
- Defined in
- Mathlib.CategoryTheory.Monoidal.Category
- Cited by
- 915 results in Mathlib
- Foundations
- Depth 3 from the axioms, rests on 9 definitions · uses no axioms
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites4
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.Homstatement · cited by 32,603
- CategoryTheory.MonoidalCategoryStruct.tensorObjstatement · cited by 3,106
- CategoryTheory.MonoidalCategoryStructstatement and proof · cited by 26
Cited by1,078
Results whose statement or proof uses this declaration.
- CategoryTheory.MonoidalCategory.curriedTensorproof · cited by 170
- CategoryTheory.MonoidalCategory.whiskerLeft_compstatement · cited by 82
- CategoryTheory.MonoidalCategory.tensorμproof · cited by 71
- CategoryTheory.MonoidalCategory.tensorHom_defstatement · cited by 58
- CategoryTheory.MonoidalCategory.id_tensorHomstatement and proof · cited by 57
- CategoryTheory.MonoidalCategory.whiskerLeft_idstatement · cited by 52
- CategoryTheory.MonoidalCategory.tensor_whiskerLeftstatement and proof · cited by 37
- CategoryTheory.MonoidalCategory.whiskerLeftIsoproof · cited by 37
- CategoryTheory.MonoidalCategory.whisker_exchangestatement · cited by 36
- Bimod.TensorBimod.Xproof · cited by 32
- CategoryTheory.MonoidalCategory.whisker_assocstatement and proof · cited by 31
- CategoryTheory.MonoidalCategory.id_whiskerLeftstatement and proof · cited by 29
Showing the 200 most cited of 1,078.