define pyk of h two as text unicode start of text unicode small h 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 h two 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 b unicode end of text end unicode text end text end define
define statement of h two as system s infer all metavar var a end metavar indeed metavar var a end metavar imply not not metavar var a end metavar end define
define proof of h two as lambda var c dot lambda var x dot proof expand quote system s infer all metavar var a end metavar indeed h five conclude not not not metavar var a end metavar imply not metavar var a end metavar imply not not not metavar var a end metavar imply metavar var a end metavar imply not not metavar var a end metavar cut h one conclude not not not metavar var a end metavar imply not metavar var a end metavar cut rule mp modus ponens not not not metavar var a end metavar imply not metavar var a end metavar imply not not not metavar var a end metavar imply metavar var a end metavar imply not not metavar var a end metavar modus ponens not not not metavar var a end metavar imply not metavar var a end metavar conclude not not not metavar var a end metavar imply metavar var a end metavar imply not not metavar var a end metavar cut lemma a one conclude metavar var a end metavar imply not not not metavar var a end metavar imply metavar var a end metavar cut h zero a modus ponens metavar var a end metavar imply not not not metavar var a end metavar imply metavar var a end metavar modus ponens not not not metavar var a end metavar imply metavar var a end metavar imply not not metavar var a end metavar conclude metavar var a end metavar imply not not 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,