Theorems · Theorem · category theory
CategoryTheory.Bicategory.inv_whiskerLeft
∀ {B : Type u} [inst : CategoryTheory.Bicategory B] {a b c : B} (f : a ⟶ b) {g h : b ⟶ c} (η : g ⟶ h)
[inst_1 : CategoryTheory.IsIso η],
CategoryTheory.inv (CategoryTheory.Bicategory.whiskerLeft f η) =
CategoryTheory.Bicategory.whiskerLeft f (CategoryTheory.inv η)- Defined in
- Mathlib.CategoryTheory.Bicategory.Basic
- Cited by
- 10 results in Mathlib
- Foundations
- Depth 15 from the axioms · uses propext, Classical.choice, Quot.sound
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.CategoryStruct.idproof · cited by 6,235
- CategoryTheory.Bicategorystatement and proof · cited by 1,587
- CategoryTheory.IsIsostatement and proof · cited by 1,156
- CategoryTheory.Bicategory.whiskerLeftstatement and proof · cited by 524
- CategoryTheory.invstatement and proof · cited by 467
- CategoryTheory.IsIso.hom_inv_idproof · cited by 97
- CategoryTheory.IsIso.inv_eq_of_hom_inv_idproof · cited by 24
- CategoryTheory.Bicategory.whiskerLeft_idproof · cited by 12
Cited by10
Results whose statement or proof uses this declaration.
- CategoryTheory.Bicategory.whiskerLeft_rightUnitor_invproof · cited by 7
- CategoryTheory.Pseudofunctor.StrongTrans.naturality_id_homproof · cited by 3
- CategoryTheory.Pseudofunctor.StrongTrans.naturality_naturality_homproof · cited by 3
- CategoryTheory.Bicategory.pentagon_invproof · cited by 3
- CategoryTheory.Pseudofunctor.StrongTrans.naturality_comp_homproof · cited by 3
- CategoryTheory.Bicategory.pentagon_hom_hom_inv_hom_homproof · cited by 1
- CategoryTheory.Bicategory.pentagon_hom_hom_inv_inv_homproof · cited by 1
- CategoryTheory.Bicategory.pentagon_inv_hom_hom_hom_invproof · cited by 1
- CategoryTheory.Bicategory.pentagon_inv_inv_hom_inv_invproof · cited by 1
- CategoryTheory.Pseudofunctor.rightZigzag_mapproof · cited by 0