define pyk of lemma plusR(Sym) 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 p unicode small l unicode small u unicode small s unicode capital r unicode left parenthesis unicode capital s unicode small y unicode small m unicode right parenthesis unicode end of text end unicode text end text end define
define tex of lemma plusR(Sym) as text unicode start of text unicode capital p unicode small l unicode small u unicode small s unicode capital r unicode left parenthesis unicode capital s unicode small y unicode small m unicode right parenthesis unicode end of text end unicode text end text end define
define statement of lemma plusR(Sym) as system Q infer all metavar var fx end metavar indeed all metavar var fy end metavar indeed R( metavar var fx end metavar +f metavar var fy end metavar ) == R( var fx +f var fy ) end define
define proof of lemma plusR(Sym) as lambda var c dot lambda var x dot proof expand quote system Q infer all metavar var fx end metavar indeed all metavar var fy end metavar indeed axiom plusR conclude R( var fx +f var fy ) == R( metavar var fx end metavar +f metavar var fy end metavar ) cut lemma ==Symmetry modus ponens R( var fx +f var fy ) == R( metavar var fx end metavar +f metavar var fy end metavar ) conclude R( metavar var fx end metavar +f metavar var fy end metavar ) == R( var fx +f var fy ) end quote state proof state cache var c end expand end define
The pyk compiler, version 0.grue.20060417+ by Klaus Grue,