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,