Section DistrCommTheorems.
Context {L: Language}
{minL: MinimumLanguage L}
{Gamma: Provable L}
{minAX: MinimumAxiomatization L Gamma}
{prodp sump: expr -> expr -> expr}
{Comm: Commutativity L Gamma prodp}
{Mono: Monotonicity L Gamma sump}.

Lemma RightDistr2LeftDistr {RDistr: RightDistr L Gamma prodp sump}:
LeftDistr L Gamma prodp sump.