Theorems · Definition · category theory

CategoryTheory.Bicategory.LeftLift.IsAbsKan.ofIsoAbsKan

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

Transport evidence that a left lift is a Kan lift across an isomorphism of lifts.

Defined in: Mathlib.CategoryTheory.Bicategory.Kan.IsKan
Cited by: 1 results in Mathlib
Foundations: Depth 35 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes: CategoryTheory.Bicategory

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Cites8

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 and proof · cited by 3,963
CategoryTheory.Bicategorystatement and proof · cited by 1,587
CategoryTheory.Bicategory.postcompstatement · cited by 48
CategoryTheory.Bicategory.LeftLiftstatement and proof · cited by 29
CategoryTheory.Bicategory.LeftLift.IsKan.ofIsoKanproof · cited by 2
CategoryTheory.Bicategory.LeftLift.IsAbsKanstatement and proof · cited by 1
CategoryTheory.Bicategory.LeftLift.whiskerIsoproof · cited by 0

Cited by1

Results whose statement or proof uses this declaration.

CategoryTheory.Bicategory.LeftLift.IsAbsKan.hasAbsLeftKanLiftproof · cited by 1