Section AdjointTheorems.
Context {L: Language}
{minL: MinimumLanguage L}
{Gamma: Provable L}
{minAX: MinimumAxiomatization L Gamma}
{prodp funcp: expr -> expr -> expr}
{Adj: Adjointness L Gamma prodp funcp}.

Lemma funcp_mono2: forall x y1 y2, |-- y1 --> y2 -> |-- funcp x y1 --> funcp x y2.