define pyk of prop three two g one as text unicode start of text unicode small p unicode small r unicode small o unicode small p unicode space unicode small t unicode small h unicode small r unicode small e unicode small e unicode space unicode small t unicode small w unicode small o unicode space unicode small g unicode space unicode small o unicode small n unicode small e unicode end of text end unicode text end text end define
define tex of prop three two g one as text unicode start of text unicode newline unicode capital p unicode small r unicode small o unicode small p unicode backslash unicode space unicode three unicode period unicode two unicode small g unicode underscore unicode one unicode end of text end unicode text end text end define
define statement of prop three two g one as system s infer all metavar var a end metavar indeed metavar var a end metavar suc plus zero equal metavar var a end metavar plus zero suc end define
define proof of prop three two g one as lambda var c dot lambda var x dot proof expand quote system s infer all metavar var a end metavar indeed axiom s five conclude metavar var a end metavar suc plus zero equal metavar var a end metavar suc cut axiom s five conclude metavar var a end metavar plus zero equal metavar var a end metavar cut axiom s two modus ponens metavar var a end metavar plus zero equal metavar var a end metavar conclude metavar var a end metavar plus zero suc equal metavar var a end metavar suc cut prop three two d modus ponens metavar var a end metavar suc plus zero equal metavar var a end metavar suc modus ponens metavar var a end metavar plus zero suc equal metavar var a end metavar suc conclude metavar var a end metavar suc plus zero equal metavar var a end metavar plus zero suc end quote state proof state cache var c end expand end define
The pyk compiler, version 0.grue.20060417+ by Klaus Grue,