{l r : Type u} →
  {motive : (a : Bool) → SetTheory.PGame.InvTy l r a → Sort u_1} →
    {a : Bool} →
      (t : SetTheory.PGame.InvTy l r a) →
        ((a : Bool) → (t : SetTheory.PGame.InvTy l r a) → SetTheory.PGame.InvTy.below t → motive a t) →
          motive a t ×' SetTheory.PGame.InvTy.below t