Theorems · Definition · category theory
CategoryTheory.MonoidalCategoryStruct.leftUnitor
{C : Type u} →
{𝒞 : CategoryTheory.Category.{v, u} C} →
[self : CategoryTheory.MonoidalCategoryStruct C] →
(X : C) →
CategoryTheory.MonoidalCategoryStruct.tensorObj (CategoryTheory.MonoidalCategoryStruct.tensorUnit C) X ≅ XThe left unitor: 𝟙_ C ⊗ X ≃ X
- Defined in
- Mathlib.CategoryTheory.Monoidal.Category
- Cited by
- 437 results in Mathlib
- Foundations
- Depth 3 from the axioms, rests on 6 definitions · uses no axioms
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.Isostatement · cited by 3,963
- CategoryTheory.MonoidalCategoryStruct.tensorObjstatement · cited by 3,106
- CategoryTheory.MonoidalCategoryStruct.tensorUnitstatement · cited by 1,384
- CategoryTheory.MonoidalCategoryStructstatement and proof · cited by 26
Cited by540
Results whose statement or proof uses this declaration.
- CategoryTheory.MonoidalCategory.id_whiskerLeftstatement and proof · cited by 29
- CategoryTheory.eHomWhiskerRightproof · cited by 25
- CategoryTheory.CartesianMonoidalCategory.whiskerLeft_sndproof · cited by 19
- CategoryTheory.CartesianMonoidalCategory.whiskerRight_sndproof · cited by 16
- CategoryTheory.leftAdjointMateproof · cited by 13
- CategoryTheory.rightAdjointMateproof · cited by 13
- CategoryTheory.MonoidalCategory.whiskerLeft_rightUnitorproof · cited by 12
- CategoryTheory.MonObj.one_mulstatement · cited by 10
- CategoryTheory.SemiCartesianMonoidalCategory.snd_defstatement · cited by 10
- CategoryTheory.tensorLeftHomEquivproof · cited by 9
- AugmentedSimplexCategory.inrproof · cited by 9
- CategoryTheory.MonoidalCategory.leftUnitor_whiskerRightstatement and proof · cited by 9
Showing the 200 most cited of 540.