∀ {J : Type u} [inst : LinearOrder J] [inst_1 : SuccOrder J] {F : CategoryTheory.Functor Jᵒᵖ (Type v)}
  (d : F.WellOrderInductionData) [inst_2 : OrderBot J] [inst_3 : WellFoundedLT J] (val₀ : F.obj (Opposite.op ⊥)),
  ↑(d.sectionsMk val₀) (Opposite.op ⊥) = val₀