define pyk of prop three two b 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 b unicode end of text end unicode text end text end define
define tex of prop three two b 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 b unicode end of text end unicode text end text end define
define statement of prop three two b as system s infer all metavar var a end metavar indeed all metavar var b end metavar indeed ( ( metavar var a end metavar equal metavar var b end metavar ) infer ( metavar var b end metavar equal metavar var a end metavar ) ) end define
define proof of prop three two b as lambda var c dot lambda var x dot proof expand quote system s infer all metavar var a end metavar indeed all metavar var b end metavar indeed ( ( metavar var a end metavar equal metavar var b end metavar ) infer ( ( prop three two a conclude ( metavar var a end metavar equal metavar var a end metavar ) ) cut ( ( ( axiom s one modus ponens ( metavar var a end metavar equal metavar var b end metavar ) ) modus ponens ( metavar var a end metavar equal metavar var a end metavar ) ) conclude ( metavar var b end metavar equal metavar var a end metavar ) ) ) ) end quote state proof state cache var c end expand end define
The pyk compiler, version 0.grue.20060417 by Klaus Grue,