Theorems · Definition · category theory
CategoryTheory.Bicategory.LeftExtension.isKanOfWhiskerLeftAdjoint
{B : Type u} →
[inst : CategoryTheory.Bicategory B] →
{a b c : B} →
{f : a ⟶ b} →
{g : a ⟶ c} →
{t : CategoryTheory.Bicategory.LeftExtension f g} →
t.IsKan →
{x : B} → {h : c ⟶ x} → {u : x ⟶ c} → CategoryTheory.Bicategory.Adjunction h u → (t.whisker h).IsKanA left adjoint commutes with a left Kan extension.
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 34 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- CategoryTheory.Bicategory
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Cites24
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
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- CategoryTheory.CategoryStruct.compstatement and proof · cited by 17,999
- CategoryTheory.Iso.homproof · cited by 7,684
- CategoryTheory.CategoryStruct.idproof · cited by 6,235
- CategoryTheory.Bicategorystatement and proof · cited by 1,587
- CategoryTheory.Bicategory.whiskerRightproof · cited by 531
- CategoryTheory.Bicategory.whiskerLeftproof · cited by 524
- CategoryTheory.Bicategory.rightUnitorproof · cited by 308
- CategoryTheory.Bicategory.Adjunctionstatement and proof · cited by 83
- CategoryTheory.Bicategory.Adjunction.unitproof · cited by 48
- CategoryTheory.Bicategory.LeftExtensionstatement and proof · cited by 29
- CategoryTheory.Bicategory.LeftLiftproof · cited by 29
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