Theorems · Definition · category theory

CategoryTheory.Bicategory.RightLift.IsKan.uniqueUpToIso

{B : Type u} →
  [inst : CategoryTheory.Bicategory B] →
    {a b c : B} →
      {f : b ⟶ a} → {g : c ⟶ a} → {s t : CategoryTheory.Bicategory.RightLift f g} → s.IsKan → t.IsKan → (s ≅ t)

Kan lifts on g along f are unique up to isomorphism.

Defined in: Mathlib.CategoryTheory.Bicategory.Kan.IsKan
Cited by: 2 results in Mathlib
Foundations: Depth 31 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes: CategoryTheory.Bicategory

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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.Isostatement · cited by 3,963
CategoryTheory.Bicategorystatement and proof · cited by 1,587
CategoryTheory.Bicategory.postcompstatement · cited by 48
CategoryTheory.Bicategory.RightLiftstatement and proof · cited by 19
CategoryTheory.Limits.IsTerminal.uniqueUpToIsoproof · cited by 10
CategoryTheory.Bicategory.RightLift.IsKanstatement and proof · cited by 5

Cited by2

Results whose statement or proof uses this declaration.

CategoryTheory.Bicategory.RightLift.IsKan.uniqueUpToIso_hom_leftstatement · cited by 0
CategoryTheory.Bicategory.RightLift.IsKan.uniqueUpToIso_inv_leftstatement · cited by 0