define pyk of prop lemma from negated and (imply) 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 space unicode left parenthesis unicode small i unicode small m unicode small p unicode small l unicode small y unicode right parenthesis unicode end of text end unicode text end text end define
define tex of prop lemma from negated and (imply) 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 left parenthesis unicode capital i unicode small m unicode small p unicode small l unicode small y unicode right parenthesis unicode end of text end unicode text end text end define
define statement of prop lemma from negated and (imply) 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 imply metavar var a end metavar imply not0 metavar var b end metavar end define
define proof of prop lemma from negated and (imply) 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 prop lemma from negated and modus ponens not0 not0 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 cut all metavar var a end metavar indeed all metavar var b end metavar indeed 1rule deduction modus ponens 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 conclude not0 not0 metavar var a end metavar imply not0 metavar var b end metavar imply metavar var a end metavar imply 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,