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Theorems · Theorem · category theory

CategoryTheory.Bicategory.whiskerRight_id

∀ {B : Type u} [self : CategoryTheory.Bicategory B] {a b : B} {f g : a ⟶ b} (η : f ⟶ g),
  CategoryTheory.Bicategory.whiskerRight η (CategoryTheory.CategoryStruct.id b) =
    CategoryTheory.CategoryStruct.comp (CategoryTheory.Bicategory.rightUnitor f).hom
      (CategoryTheory.CategoryStruct.comp η (CategoryTheory.Bicategory.rightUnitor g).inv)
Defined in
Mathlib.CategoryTheory.Bicategory.Basic
Cited by
12 results in Mathlib
Foundations
Depth 4 from the axioms · uses no axioms
Assumes
CategoryTheory.Bicategory

Around this declaration

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

CategoryTheory.Bicategory.rightUnitor_naturality · cited by 2Bicategory.rightUnitor_na…CategoryTheory.FreeBicategory.liftHom₂_congr · cited by 1FreeBicategory.liftHom₂_c…CategoryTheory.Bicategory.rightUnitor_inv_naturality · cited by 1Bicategory.rightUnitor_in…CategoryTheory.Bicategory.associator_eqToHom_hom · cited by 1Bicategory.associator_eqT…CategoryTheory.Bicategory.associator_eqToHom_inv · cited by 1Bicategory.associator_eqT…CategoryTheory.Bicategory.whiskerRight_iff · cited by 1Bicategory.whiskerRight_i…CategoryTheory.Bicategory.rightUnitor_hom_congr · cited by 0Bicategory.rightUnitor_ho…CategoryTheory.Bicategory.rightUnitor_inv_congr · cited by 0Bicategory.rightUnitor_in…CategoryTheory.Bicategory.conjugateEquiv_associator_hom · cited by 0Bicategory.conjugateEquiv…CategoryTheory.Bicategory.whiskerRight_id_assoc · cited by 0Bicategory.whiskerRight_i…CategoryTheory.Bicategory.whiskerRight_id_symm · cited by 0Bicategory.whiskerRight_i…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.rightUnitor · cited by 308Bicategory.rightUnitorBicategory.whiskerRight_idCITED BYCITES

Cites8

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Cited by12

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