Theorems · Theorem · category theory

CategoryTheory.Bicategory.whiskerLeft_inv_hom_whiskerRight_assoc

∀ {B : Type u} [inst : CategoryTheory.Bicategory B] {a b c d : B} (f : a ⟶ b) {g h : b ⟶ c} (η : g ≅ h) (k : c ⟶ d)
  {Z : a ⟶ d} (h_1 : CategoryTheory.CategoryStruct.comp f (CategoryTheory.CategoryStruct.comp h k) ⟶ Z),
  CategoryTheory.CategoryStruct.comp
      (CategoryTheory.Bicategory.whiskerLeft f (CategoryTheory.Bicategory.whiskerRight η.inv k))
      (CategoryTheory.CategoryStruct.comp
        (CategoryTheory.Bicategory.whiskerLeft f (CategoryTheory.Bicategory.whiskerRight η.hom k)) h_1) =
    h_1

Defined in: Mathlib.CategoryTheory.Bicategory.Basic
Cited by: 0 results in Mathlib
Foundations: Depth 7 from the axioms · uses propext, Quot.sound
Assumes: CategoryTheory.Bicategory

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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.whiskerLeftstatement and proof · cited by 524
CategoryTheory.Bicategory.whiskerLeft_inv_hom_whiskerRightproof · cited by 1

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