Theorems · Definition · category theory
CategoryTheory.Bicategory.whiskerRightIso
{B : Type u} →
[inst : CategoryTheory.Bicategory B] →
{a b c : B} →
{f g : a ⟶ b} →
(f ≅ g) → (h : b ⟶ c) → CategoryTheory.CategoryStruct.comp f h ≅ CategoryTheory.CategoryStruct.comp g hThe right whiskering of a 2-isomorphism is a 2-isomorphism.
- Defined in
- Mathlib.CategoryTheory.Bicategory.Basic
- Cited by
- 50 results in Mathlib
- Foundations
- Depth 10 from the axioms · uses propext
- Assumes
- CategoryTheory.Bicategory
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites7
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 · cited by 17,999
- CategoryTheory.Iso.homproof · cited by 7,684
- CategoryTheory.Iso.invproof · cited by 6,514
- CategoryTheory.Isostatement and proof · cited by 3,963
- CategoryTheory.Bicategorystatement and proof · cited by 1,587
- CategoryTheory.Bicategory.whiskerRightproof · cited by 531
Cited by54
Results whose statement or proof uses this declaration.
- CategoryTheory.Bicategory.whiskerRightIso_homstatement and proof · cited by 11
- CategoryTheory.Bicategory.leftZigzagIsoproof · cited by 9
- CategoryTheory.Bicategory.mateEquiv_apply'proof · cited by 9
- CategoryTheory.Bicategory.whiskerRightIso_invstatement and proof · cited by 9
- CategoryTheory.Bicategory.rightZigzagIsoproof · cited by 5
- CategoryTheory.Oplax.StrongTrans.vcompproof · cited by 5
- CategoryTheory.Bicategory.mateEquiv_vcompproof · cited by 4
- CategoryTheory.Pseudofunctor.mapComp'_id_compstatement and proof · cited by 4
- CategoryTheory.Lax.StrongTrans.vCompproof · cited by 3
- CategoryTheory.Bicategory.mateEquiv_hcompproof · cited by 3
- CategoryTheory.Bicategory.conjugateEquiv_idproof · cited by 3
- CategoryTheory.Bicategory.mateEquiv_symm_apply'proof · cited by 2