| import Mathlib | |
| open CategoryTheory Limits | |
| universe u₁ v₁ u₂ v₂ | |
| variable {C : Type u₁} [Category.{v₁} C] | |
| variable {E : Type u₂} [Category.{v₂} E] | |
| theorem colimit_is_leftKanExtension_along_to_terminal | |
| (F : C ⥤ E) (K : C ⥤ PUnit) [HasColimit F] [K.HasLeftKanExtension F] : | |
| Nonempty ((K.leftKanExtension F).obj PUnit.unit ≅ colimit F) := by | |
| sorry |