∀ {C : Type u₁} [inst : CategoryTheory.Category.{v₁, u₁} C] {J : Type w} [inst_1 : CategoryTheory.Category.{w', w} J]
  {X : C} {K : CategoryTheory.Functor J (CategoryTheory.Over X)}
  (t : CategoryTheory.Limits.Cone (CategoryTheory.WithTerminal.liftFromOver.obj K)),
  (CategoryTheory.WithTerminal.coneEquiv.inverse.obj t).pt.left = t.pt