Theorems · Theorem · category theory
CategoryTheory.MonoidalCategory.whiskerLeft_rightUnitor_inv
∀ {C : Type u} [inst : CategoryTheory.Category.{v, u} C] [inst_1 : CategoryTheory.MonoidalCategory C] (X Y : C),
CategoryTheory.MonoidalCategoryStruct.whiskerLeft X (CategoryTheory.MonoidalCategoryStruct.rightUnitor Y).inv =
CategoryTheory.CategoryStruct.comp
(CategoryTheory.MonoidalCategoryStruct.rightUnitor (CategoryTheory.MonoidalCategoryStruct.tensorObj X Y)).inv
(CategoryTheory.MonoidalCategoryStruct.associator X Y (CategoryTheory.MonoidalCategoryStruct.tensorUnit C)).hom- Defined in
- Mathlib.CategoryTheory.Monoidal.Category
- Cited by
- 8 results in Mathlib
- Foundations
- Depth 22 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites17
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.CategoryStruct.compstatement and proof · cited by 17,999
- CategoryTheory.Iso.homstatement and proof · cited by 7,684
- CategoryTheory.Iso.invstatement and proof · cited by 6,514
- CategoryTheory.MonoidalCategoryStruct.tensorObjstatement and proof · cited by 3,106
- CategoryTheory.MonoidalCategorystatement and proof · cited by 3,095
- CategoryTheory.MonoidalCategoryStruct.tensorUnitstatement and proof · cited by 1,384
- CategoryTheory.MonoidalCategoryStruct.whiskerLeftstatement and proof · cited by 915
- CategoryTheory.MonoidalCategoryStruct.associatorstatement and proof · cited by 667
- CategoryTheory.MonoidalCategoryStruct.rightUnitorstatement and proof · cited by 397
- CategoryTheory.IsIso.Iso.inv_invproof · cited by 30
Cited by8
Results whose statement or proof uses this declaration.
- CategoryTheory.MonoidalCategory.tensor_right_unitalityproof · cited by 3
- CategoryTheory.MonoidalClosed.whiskerLeft_curry'_compproof · cited by 3
- CategoryTheory.eComp_eHomWhiskerLeftproof · cited by 2
- CategoryTheory.MonoidalCategory.id_tensor_rightUnitor_invproof · cited by 1
- CategoryTheory.MonoidalCategory.whiskerLeft_rightUnitor_inv_assocproof · cited by 1
- CategoryTheory.HopfObj.antipode_comul₂proof · cited by 1
- CategoryTheory.MonoidalCategory.rightUnitor_tensor_invproof · cited by 1
- CategoryTheory.FreeMonoidalCategory.normalize_naturalityproof · cited by 0