∀ {α : Type u_1} [inst : LE α] {motive : (a a_1 : WithBot α) → a.LE a_1 → Prop},
  (∀ (x : WithBot α), motive ⊥ x ⋯) →
    (∀ {a b : α} (a_1 : a ≤ b), motive ↑a ↑b ⋯) → ∀ {a a_1 : WithBot α} (t : a.LE a_1), motive a a_1 t