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Theorems · Theorem · category theory

CategoryTheory.Bicategory.whiskerLeft_rightUnitor

∀ {B : Type u} [inst : CategoryTheory.Bicategory B] {a b c : B} (f : a ⟶ b) (g : b ⟶ c),
  CategoryTheory.Bicategory.whiskerLeft f (CategoryTheory.Bicategory.rightUnitor g).hom =
    CategoryTheory.CategoryStruct.comp
      (CategoryTheory.Bicategory.associator f g (CategoryTheory.CategoryStruct.id c)).inv
      (CategoryTheory.Bicategory.rightUnitor (CategoryTheory.CategoryStruct.comp f g)).hom
Defined in
Mathlib.CategoryTheory.Bicategory.Basic
Cited by
7 results in Mathlib
Foundations
Depth 21 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
CategoryTheory.Bicategory

Around this declaration

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

CategoryTheory.Bicategory.whiskerLeft_rightUnitor_inv · cited by 7Bicategory.whiskerLeft_ri…CategoryTheory.Bicategory.rightUnitor_comp · cited by 2Bicategory.rightUnitor_co…CategoryTheory.Bicategory.associator_eqToHom_inv · cited by 1Bicategory.associator_eqT…CategoryTheory.Bicategory.conjugateEquiv_whiskerLeft · cited by 0Bicategory.conjugateEquiv…CategoryTheory.Bicategory.conjugateEquiv_associator_hom · cited by 0Bicategory.conjugateEquiv…CategoryTheory.Bicategory.whiskerLeft_rightUnitor_assoc · cited by 0Bicategory.whiskerLeft_ri…CategoryTheory.FreeBicategory.normalize_naturality · cited by 0FreeBicategory.normalize_…Quiver.Hom · cited by 32603Quiver.HomCategoryTheory.CategoryStruct.comp · cited by 17999CategoryStruct.compCategoryTheory.Iso.hom · cited by 7684Iso.homCategoryTheory.Iso.inv · cited by 6514Iso.invCategoryTheory.CategoryStruct.id · cited by 6235CategoryStruct.idCategoryTheory.Bicategory · cited by 1587CategoryTheory.BicategoryCategoryTheory.Bicategory.whiskerRight · cited by 531Bicategory.whiskerRightCategoryTheory.Bicategory.whiskerLeft · cited by 524Bicategory.whiskerLeftCategoryTheory.Bicategory.associator · cited by 405Bicategory.associatorCategoryTheory.cancel_epi · cited by 380CategoryTheory.cancel_epiCategoryTheory.Bicategory.leftUnitor · cited by 309Bicategory.leftUnitorCategoryTheory.Bicategory.rightUnitor · cited by 308Bicategory.rightUnitorCategoryTheory.Bicategory.comp_whiskerRight · cited by 14Bicategory.comp_whiskerRi…CategoryTheory.Bicategory.triangle_assoc_comp_right · cited by 3Bicategory.triangle_assoc…CategoryTheory.Bicategory.pentagon_inv_assoc · cited by 3Bicategory.pentagon_inv_a…Bicategory.whiskerLeft_rightU…CITED BYCITES

Cites19

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Cited by7

Results whose statement or proof uses this declaration.