Theorems · Theorem · category theory
CategoryTheory.Bicategory.whiskerLeft_inv_hom
∀ {B : Type u} [inst : CategoryTheory.Bicategory B] {a b c : B} (f : a ⟶ b) {g h : b ⟶ c} (η : g ≅ h),
CategoryTheory.CategoryStruct.comp (CategoryTheory.Bicategory.whiskerLeft f η.inv)
(CategoryTheory.Bicategory.whiskerLeft f η.hom) =
CategoryTheory.CategoryStruct.id (CategoryTheory.CategoryStruct.comp f h)- Defined in
- Mathlib.CategoryTheory.Bicategory.Basic
- Cited by
- 3 results in Mathlib
- Foundations
- Depth 5 from the axioms · uses no axioms
- Assumes
- CategoryTheory.Bicategory
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites11
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.CategoryStruct.idstatement and proof · cited by 6,235
- CategoryTheory.Isostatement and proof · cited by 3,963
- CategoryTheory.Bicategorystatement and proof · cited by 1,587
- CategoryTheory.Bicategory.whiskerLeftstatement and proof · cited by 524
- CategoryTheory.Iso.inv_hom_idproof · cited by 308
- CategoryTheory.Bicategory.whiskerLeft_idproof · cited by 12
- CategoryTheory.Bicategory.whiskerLeft_compproof · cited by 12
Cited by3
Results whose statement or proof uses this declaration.
- CategoryTheory.Bicategory.whiskerLeft_inv_hom_assocproof · cited by 5
- CategoryTheory.Bicategory.triangle_assoc_comp_right_invproof · cited by 2
- CategoryTheory.Bicategory.triangle_assoc_comp_left_invproof · cited by 1