∀ {X : Type u_1} (T : X → X) (F : Set X) (U : SetRel X X) (n : ℕ)
  (motive : (∃ s, Dynamics.IsDynCoverOf T F U n ↑s ∧ ↑s.card = Dynamics.coverMincard T F U n) → Prop)
  (x : ∃ s, Dynamics.IsDynCoverOf T F U n ↑s ∧ ↑s.card = Dynamics.coverMincard T F U n),
  (∀ (s : Finset X) (left : Dynamics.IsDynCoverOf T F U n ↑s)
      (s_coverMincard : ↑s.card = Dynamics.coverMincard T F U n), motive ⋯) →
    motive x