End DerivableRulesFromAxiomatization1.
Section DerivableRulesFromSequentCalculus2.
Context {L: Language}
{minL: MinimunLanguage L}
{pL: PropositionalLanguage L}
{Gamma: ProofTheory L}
{bSC: BasicSequentCalculus L Gamma}
{minSC: MinimunSequentCalculus L Gamma}
{ipSC: IntuitionisticPropositionalSequentCalculus L Gamma}.

Lemma deduction_contrapositivePN: forall Phi (x y: expr),
Phi |-- y --> ~~ x ->
Phi |-- x --> ~~ y.