define pyk of prop lemma from negated and 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 f unicode small r unicode small o unicode small m unicode space unicode small n unicode small e unicode small g unicode small a unicode small t unicode small e unicode small d unicode space unicode small a unicode small n unicode small d unicode end of text end unicode text end text end define
define tex of prop lemma from negated and as text unicode start of text unicode capital f unicode small r unicode small o unicode small m unicode capital n unicode small e unicode small g unicode small a unicode small t unicode small e unicode small d unicode capital a unicode small n unicode small d unicode end of text end unicode text end text end define
define statement of prop lemma from negated and as system Q infer all metavar var a end metavar indeed all metavar var b end metavar indeed not0 not0 metavar var a end metavar imply not0 metavar var b end metavar infer metavar var a end metavar infer not0 metavar var b end metavar end define
define proof of prop lemma from negated and as lambda var c dot lambda var x dot proof expand quote system Q infer all metavar var a end metavar indeed all metavar var b end metavar indeed not0 not0 metavar var a end metavar imply not0 metavar var b end metavar infer metavar var a end metavar infer 1rule repetition modus ponens not0 not0 metavar var a end metavar imply not0 metavar var b end metavar conclude not0 not0 metavar var a end metavar imply not0 metavar var b end metavar cut prop lemma remove double neg modus ponens not0 not0 metavar var a end metavar imply not0 metavar var b end metavar conclude metavar var a end metavar imply not0 metavar var b end metavar cut 1rule mp modus ponens metavar var a end metavar imply not0 metavar var b end metavar modus ponens metavar var a end metavar conclude not0 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,