{K : Type u_1} →
  {V : Type u_2} →
    [inst : Field K] →
      [inst_1 : AddCommGroup V] →
        [inst_2 : Module K V] →
          {S : Set (Projectivization K V)} →
            {motive : (a : Projectivization K V) → Projectivization.Subspace.spanCarrier S a → Prop} →
              {a : Projectivization K V} → Projectivization.Subspace.spanCarrier S a → Prop