Section DerivableRulesFromSequentCalculus.
Context {L: Language}
{Gamma: ProofTheory L}
{bSC: BasicSequentCalculus L Gamma}.
Context {minL: MinimunLanguage L}
{minSC: MinimunSequentCalculus L Gamma}.

Lemma deduction_impp_trans: forall (Phi: context) (x y z: expr),
Phi |-- x --> y ->
Phi |-- y --> z ->
Phi |-- x --> z.