define pyk of t one as text unicode start of text unicode small t 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 t one as text unicode start of text unicode newline unicode capital l unicode small e unicode small m unicode space unicode one unicode period unicode one unicode one unicode small c unicode end of text end unicode text end text end define
define statement of t one as system s infer all metavar var a end metavar indeed all metavar var b end metavar indeed not metavar var a end metavar imply metavar var a end metavar imply metavar var b end metavar end define
define proof of t one 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 not metavar var a end metavar infer all metavar var a end metavar indeed all metavar var b end metavar indeed metavar var a end metavar infer repetition modus ponens not metavar var a end metavar conclude not metavar var a end metavar cut lemma a one conclude metavar var a end metavar imply not metavar var b end metavar imply metavar var a end metavar cut rule mp modus ponens metavar var a end metavar imply not metavar var b end metavar imply metavar var a end metavar modus ponens metavar var a end metavar conclude not metavar var b end metavar imply metavar var a end metavar cut lemma a one conclude not metavar var a end metavar imply not metavar var b end metavar imply not metavar var a end metavar cut rule mp modus ponens not metavar var a end metavar imply not metavar var b end metavar imply not metavar var a end metavar modus ponens not metavar var a end metavar conclude not metavar var b end metavar imply not metavar var a end metavar cut double negation modus ponens not metavar var b end metavar imply not metavar var a end metavar modus ponens not metavar var b end metavar imply metavar var a end metavar conclude metavar var b 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 infer metavar var b end metavar conclude metavar var a end metavar imply metavar var b end metavar cut deduction modus ponens all metavar var a end metavar indeed all metavar var b end metavar indeed not metavar var a end metavar infer metavar var a end metavar imply metavar var b end metavar conclude not metavar var a end metavar imply metavar var a end metavar imply metavar var b end metavar end quote state proof state cache var c end expand end define
The pyk compiler, version 0.grue.20060417+ by Klaus Grue,