define pyk of lemma timesCommutativity(R) as text unicode start of text unicode small l unicode small e unicode small m unicode small m unicode small a unicode space unicode small t unicode small i unicode small m unicode small e unicode small s unicode capital c unicode small o unicode small m unicode small m unicode small u unicode small t unicode small a unicode small t unicode small i unicode small v unicode small i unicode small t unicode small y unicode left parenthesis unicode capital r unicode right parenthesis unicode end of text end unicode text end text end define
define tex of lemma timesCommutativity(R) as text unicode start of text unicode capital t unicode small i unicode small m unicode small e unicode small s unicode capital c unicode small o unicode small m unicode small m unicode small u unicode small t unicode small a unicode small t unicode small i unicode small v unicode small i unicode small t unicode small y unicode left parenthesis unicode capital r unicode right parenthesis unicode end of text end unicode text end text end define
define statement of lemma timesCommutativity(R) as system Q infer all metavar var fx end metavar indeed all metavar var fy end metavar indeed R( metavar var fx end metavar ) ** R( metavar var fy end metavar ) == R( metavar var fy end metavar ) ** R( metavar var fx end metavar ) end define
define proof of lemma timesCommutativity(R) as rule tactic end define
The pyk compiler, version 0.grue.20060417+ by Klaus Grue,