Local Open Scope logic_base.
Section ContextProperty.
Context {L: Language}
{minL: MinimunLanguage L}
{Gamma: ProofTheory L}
{fwSC: FiniteWitnessedSequentCalculus L Gamma}.

(* Specifications: *)
Lemma can_derive_finite_witnessed: forall x,
finite_witnessed (can_derive x).
Lemma cannot_derive_finite_captured: forall x,
finite_captured (cannot_derive x).