define pyk of h nine as text unicode start of text unicode small h unicode space unicode small n unicode small i unicode small n unicode small e unicode end of text end unicode text end text end define
define tex of h nine as text unicode start of text unicode newline unicode capital p unicode small r unicode small o unicode small p unicode space unicode three unicode period unicode two unicode small b unicode apostrophe unicode end of text end unicode text end text end define
define statement of h nine 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 imply metavar var b end metavar equal metavar var a end metavar end define
define proof of h nine 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 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 b modus ponens metavar var a end metavar equal metavar var b end metavar conclude metavar var b end metavar equal metavar var a end metavar cut deduction modus ponens 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 conclude metavar var a end metavar equal metavar var b end metavar imply 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,