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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
Assumes
CategoryTheory.CategoryCategoryTheory.MonoidalCategory

Around this declaration

Dashed lines are statement dependencies; solid lines are citations in proofs.

CategoryTheory.MonoidalCategory.tensor_right_unitality · cited by 3MonoidalCategory.tensor_r…CategoryTheory.MonoidalClosed.whiskerLeft_curry'_comp · cited by 3MonoidalClosed.whiskerLef…CategoryTheory.eComp_eHomWhiskerLeft · cited by 2CategoryTheory.eComp_eHom…CategoryTheory.MonoidalCategory.id_tensor_rightUnitor_inv · cited by 1MonoidalCategory.id_tenso…CategoryTheory.MonoidalCategory.whiskerLeft_rightUnitor_inv_assoc · cited by 1MonoidalCategory.whiskerL…CategoryTheory.HopfObj.antipode_comul₂ · cited by 1HopfObj.antipode_comul₂CategoryTheory.MonoidalCategory.rightUnitor_tensor_inv · cited by 1MonoidalCategory.rightUni…CategoryTheory.FreeMonoidalCategory.normalize_naturality · cited by 0FreeMonoidalCategory.norm…CategoryTheory.Category · cited by 32673CategoryTheory.CategoryQuiver.Hom · cited by 32603Quiver.HomCategoryTheory.CategoryStruct.comp · cited by 17999CategoryStruct.compCategoryTheory.Iso.hom · cited by 7684Iso.homCategoryTheory.Iso.inv · cited by 6514Iso.invCategoryTheory.MonoidalCategoryStruct.tensorObj · cited by 3106MonoidalCategoryStruct.te…CategoryTheory.MonoidalCategory · cited by 3095CategoryTheory.MonoidalCa…CategoryTheory.MonoidalCategoryStruct.tensorUnit · cited by 1384MonoidalCategoryStruct.te…CategoryTheory.MonoidalCategoryStruct.whiskerLeft · cited by 915MonoidalCategoryStruct.wh…CategoryTheory.MonoidalCategoryStruct.associator · cited by 667MonoidalCategoryStruct.as…CategoryTheory.MonoidalCategoryStruct.rightUnitor · cited by 397MonoidalCategoryStruct.ri…CategoryTheory.IsIso.Iso.inv_inv · cited by 30Iso.inv_invCategoryTheory.IsIso.inv_comp · cited by 22IsIso.inv_compCategoryTheory.eq_of_inv_eq_inv · cited by 19CategoryTheory.eq_of_inv_…CategoryTheory.IsIso.Iso.inv_hom · cited by 18Iso.inv_homMonoidalCategory.whiskerLeft_…CITED BYCITES

Cites17

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Cited by8

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