Theorems · Theorem · category theory
CategoryTheory.Bicategory.inv_hom_whiskerRight_assoc
∀ {B : Type u} [inst : CategoryTheory.Bicategory B] {a b c : B} {f g : a ⟶ b} (η : f ≅ g) (h : b ⟶ c) {Z : a ⟶ c}
(h_1 : CategoryTheory.CategoryStruct.comp g h ⟶ Z),
CategoryTheory.CategoryStruct.comp (CategoryTheory.Bicategory.whiskerRight η.inv h)
(CategoryTheory.CategoryStruct.comp (CategoryTheory.Bicategory.whiskerRight η.hom h) h_1) =
h_1- Defined in
- Mathlib.CategoryTheory.Bicategory.Basic
- Cited by
- 4 results in Mathlib
- Foundations
- Depth 6 from the axioms · uses Quot.sound
- Assumes
- CategoryTheory.Bicategory
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites10
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Quiver.Homstatement and proof · cited by 32,603
- CategoryTheory.CategoryStruct.compstatement and proof · cited by 17,999
- CategoryTheory.Iso.homstatement and proof · cited by 7,684
- CategoryTheory.Iso.invstatement and proof · cited by 6,514
- CategoryTheory.Category.assocproof · cited by 6,433
- CategoryTheory.Isostatement and proof · cited by 3,963
- CategoryTheory.Category.id_compproof · cited by 1,998
- CategoryTheory.Bicategorystatement and proof · cited by 1,587
- CategoryTheory.Bicategory.whiskerRightstatement and proof · cited by 531
- CategoryTheory.Bicategory.inv_hom_whiskerRightproof · cited by 4
Cited by4
Results whose statement or proof uses this declaration.
- CategoryTheory.Pseudofunctor.mapComp'₀₂₃_invproof · cited by 3
- CategoryTheory.Pseudofunctor.mapComp'₀₁₃_homproof · cited by 2
- CategoryTheory.Bicategory.conjugateEquiv_whiskerLeftproof · cited by 0
- CategoryTheory.Bicategory.conjugateEquiv_whiskerRightproof · cited by 0