define pyk of prop three two f two 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 f unicode space unicode small t unicode small w unicode small o unicode end of text end unicode text end text end define
define tex of prop three two f two 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 f unicode underscore unicode two unicode end of text end unicode text end text end define
define statement of prop three two f two as system s infer all metavar var a end metavar indeed metavar var a end metavar equal zero plus metavar var a end metavar imply metavar var a end metavar suc equal zero plus metavar var a end metavar suc end define
define proof of prop three two f two 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 a end metavar indeed metavar var a end metavar equal zero plus metavar var a end metavar infer axiom s two modus ponens metavar var a end metavar equal zero plus metavar var a end metavar conclude metavar var a end metavar suc equal zero plus metavar var a end metavar suc cut axiom s six conclude zero plus metavar var a end metavar suc equal zero plus metavar var a end metavar suc cut prop three two d modus ponens metavar var a end metavar suc equal zero plus metavar var a end metavar suc modus ponens zero plus metavar var a end metavar suc equal zero plus metavar var a end metavar suc conclude metavar var a end metavar suc equal zero plus metavar var a end metavar suc cut deduction modus ponens all metavar var a end metavar indeed metavar var a end metavar equal zero plus metavar var a end metavar infer metavar var a end metavar suc equal zero plus metavar var a end metavar suc conclude metavar var a end metavar equal zero plus metavar var a end metavar imply metavar var a end metavar suc equal zero plus metavar var a end metavar suc end quote state proof state cache var c end expand end define
The pyk compiler, version 0.grue.20060417+ by Klaus Grue,