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Theorems · Theorem · category theory

CategoryTheory.Bicategory.comp_whiskerRight

∀ {B : Type u} [self : CategoryTheory.Bicategory B] {a b c : B} {f g h : a ⟶ b} (η : f ⟶ g) (θ : g ⟶ h) (i : b ⟶ c),
  CategoryTheory.Bicategory.whiskerRight (CategoryTheory.CategoryStruct.comp η θ) i =
    CategoryTheory.CategoryStruct.comp (CategoryTheory.Bicategory.whiskerRight η i)
      (CategoryTheory.Bicategory.whiskerRight θ i)
Defined in
Mathlib.CategoryTheory.Bicategory.Basic
Cited by
14 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.whiskerLeft_rightUnitor · cited by 7Bicategory.whiskerLeft_ri…CategoryTheory.Bicategory.hom_inv_whiskerRight · cited by 6Bicategory.hom_inv_whiske…CategoryTheory.Bicategory.inv_hom_whiskerRight · cited by 4Bicategory.inv_hom_whiske…CategoryTheory.Bicategory.comp_whiskerRight_assoc · cited by 4Bicategory.comp_whiskerRi…CategoryTheory.Oplax.OplaxTrans.whiskerRight_naturality_comp · cited by 2OplaxTrans.whiskerRight_n…CategoryTheory.Oplax.OplaxTrans.whiskerRight_naturality_id · cited by 2OplaxTrans.whiskerRight_n…CategoryTheory.Oplax.OplaxTrans.whiskerRight_naturality_naturality · cited by 2OplaxTrans.whiskerRight_n…CategoryTheory.FreeBicategory.liftHom₂_congr · cited by 1FreeBicategory.liftHom₂_c…CategoryTheory.Bicategory.conjugateEquiv_whiskerLeft · cited by 0Bicategory.conjugateEquiv…CategoryTheory.Bicategory.conjugateEquiv_whiskerRight · cited by 0Bicategory.conjugateEquiv…CategoryTheory.Bicategory.conjugateEquiv_associator_hom · cited by 0Bicategory.conjugateEquiv…CategoryTheory.Pseudofunctor.leftZigzag_map · cited by 0Pseudofunctor.leftZigzag_…CategoryTheory.Pseudofunctor.rightZigzag_map · cited by 0Pseudofunctor.rightZigzag…CategoryTheory.FreeBicategory.normalize_naturality · cited by 0FreeBicategory.normalize_…Quiver.Hom · cited by 32603Quiver.HomCategoryTheory.CategoryStruct.comp · cited by 17999CategoryStruct.compCategoryTheory.Bicategory · cited by 1587CategoryTheory.BicategoryCategoryTheory.Bicategory.whiskerRight · cited by 531Bicategory.whiskerRightBicategory.comp_whiskerRightCITED BYCITES

Cites4

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Cited by14

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