define pyk of prop lemma remove or as text unicode start of text unicode small p unicode small r unicode small o unicode small p unicode space unicode small l unicode small e unicode small m unicode small m unicode small a unicode space unicode small r unicode small e unicode small m unicode small o unicode small v unicode small e unicode space unicode small o unicode small r unicode end of text end unicode text end text end define
define tex of prop lemma remove or as text unicode start of text unicode capital r unicode small e unicode small m unicode small o unicode small v unicode small e unicode capital o unicode small r unicode end of text end unicode text end text end define
define statement of prop lemma remove or as system Q infer all metavar var a end metavar indeed not0 metavar var a end metavar imply metavar var a end metavar infer metavar var a end metavar end define
define proof of prop lemma remove or as lambda var c dot lambda var x dot proof expand quote system Q infer all metavar var a end metavar indeed not0 metavar var a end metavar imply metavar var a end metavar infer 1rule repetition modus ponens not0 metavar var a end metavar imply metavar var a end metavar conclude not0 metavar var a end metavar imply metavar var a end metavar cut prop lemma auto imply conclude metavar var a end metavar imply metavar var a end metavar cut prop lemma from negations modus ponens metavar var a end metavar imply metavar var a end metavar modus ponens not0 metavar var a end metavar imply metavar var a end metavar conclude 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,