Theorems · Definition · category theory
CategoryTheory.MonoidalCategoryStruct.rightUnitor
{C : Type u} →
{𝒞 : CategoryTheory.Category.{v, u} C} →
[self : CategoryTheory.MonoidalCategoryStruct C] →
(X : C) →
CategoryTheory.MonoidalCategoryStruct.tensorObj X (CategoryTheory.MonoidalCategoryStruct.tensorUnit C) ≅ XThe right unitor: X ⊗ 𝟙_ C ≃ X
- Defined in
- Mathlib.CategoryTheory.Monoidal.Category
- Cited by
- 397 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 by496
Results whose statement or proof uses this declaration.
- CategoryTheory.MonoidalCategory.whiskerRight_idstatement and proof · cited by 38
- CategoryTheory.eHomWhiskerLeftproof · cited by 26
- CategoryTheory.CartesianMonoidalCategory.whiskerLeft_fstproof · cited by 24
- CategoryTheory.MonoidalClosed.curry'proof · cited by 14
- CategoryTheory.leftAdjointMateproof · cited by 13
- CategoryTheory.rightAdjointMateproof · cited by 13
- CategoryTheory.SemiCartesianMonoidalCategory.fst_defstatement · cited by 13
- CategoryTheory.CartesianMonoidalCategory.whiskerRight_fstproof · cited by 13
- CategoryTheory.MonoidalCategory.whiskerLeft_rightUnitorstatement and proof · cited by 12
- CategoryTheory.MonObj.mul_onestatement · cited by 10
- CategoryTheory.tensorRightHomEquivproof · cited by 9
- AugmentedSimplexCategory.inlproof · cited by 9
Showing the 200 most cited of 496.