Mathlib Map

Theorems · Theorem · category theory

CategoryTheory.Bicategory.whiskerLeft_rightUnitor_inv

∀ {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).inv =
    CategoryTheory.CategoryStruct.comp
      (CategoryTheory.Bicategory.rightUnitor (CategoryTheory.CategoryStruct.comp f g)).inv
      (CategoryTheory.Bicategory.associator f g (CategoryTheory.CategoryStruct.id c)).hom
Defined in
Mathlib.CategoryTheory.Bicategory.Basic
Cited by
7 results in Mathlib
Foundations
Depth 22 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.rightUnitor_comp_inv · cited by 1Bicategory.rightUnitor_co…CategoryTheory.Bicategory.associator_eqToHom_hom · cited by 1Bicategory.associator_eqT…CategoryTheory.Bicategory.toNatTrans_mateEquiv · cited by 1Bicategory.toNatTrans_mat…CategoryTheory.Bicategory.conjugateEquiv_whiskerLeft · cited by 0Bicategory.conjugateEquiv…CategoryTheory.Bicategory.conjugateEquiv_whiskerRight · cited by 0Bicategory.conjugateEquiv…CategoryTheory.Bicategory.whiskerLeft_rightUnitor_inv_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.whiskerLeft · cited by 524Bicategory.whiskerLeftCategoryTheory.Bicategory.associator · cited by 405Bicategory.associatorCategoryTheory.Bicategory.rightUnitor · cited by 308Bicategory.rightUnitorCategoryTheory.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_homCategoryTheory.Bicategory.inv_whiskerLeft · cited by 10Bicategory.inv_whiskerLeftCategoryTheory.Bicategory.whiskerLeft_rightUnitor · cited by 7Bicategory.whiskerLeft_ri…Bicategory.whiskerLeft_rightU…CITED BYCITES

Cites15

Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.

Cited by7

Results whose statement or proof uses this declaration.