define pyk of prop lemma add double neg 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 a unicode small d unicode small d unicode space unicode small d unicode small o unicode small u unicode small b unicode small l unicode small e unicode space unicode small n unicode small e unicode small g unicode end of text end unicode text end text end define
define tex of prop lemma add double neg as text unicode start of text unicode capital a unicode small d unicode small d unicode capital d unicode small o unicode small u unicode small b unicode small l unicode small e unicode capital n unicode small e unicode small g unicode end of text end unicode text end text end define
define statement of prop lemma add double neg as system Q infer all metavar var a end metavar indeed metavar var a end metavar infer not0 not0 metavar var a end metavar end define
define proof of prop lemma add double neg as lambda var c dot lambda var x dot proof expand quote system Q infer all metavar var a end metavar indeed not0 not0 not0 metavar var a end metavar infer prop lemma remove double neg modus ponens not0 not0 not0 metavar var a end metavar conclude not0 metavar var a end metavar cut all metavar var a end metavar indeed 1rule deduction modus ponens all metavar var a end metavar indeed not0 not0 not0 metavar var a end metavar infer not0 metavar var a end metavar conclude not0 not0 not0 metavar var a end metavar imply not0 metavar var a end metavar cut metavar var a end metavar infer prop lemma weakening modus ponens metavar var a end metavar conclude not0 not0 not0 metavar var a end metavar imply metavar var a end metavar cut 1rule ad absurdum modus ponens not0 not0 not0 metavar var a end metavar imply metavar var a end metavar modus ponens not0 not0 not0 metavar var a end metavar imply not0 metavar var a end metavar conclude not0 not0 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,