define pyk of prop lemma remove 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 r unicode small e unicode small m unicode small o unicode small v unicode small e 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 remove double neg 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 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 remove double neg as system zf infer all metavar var a end metavar indeed not0 not0 metavar var a end metavar infer metavar var a end metavar end define
define proof of prop lemma remove double neg as lambda var c dot lambda var x dot proof expand quote system zf infer all metavar var a end metavar indeed not0 not0 metavar var a end metavar infer prop lemma weakening modus ponens not0 not0 metavar var a end metavar conclude not0 metavar var a end metavar imply not0 not0 metavar var a end metavar cut prop lemma auto imply conclude not0 metavar var a end metavar imply not0 metavar var a end metavar cut 1rule ad absurdum modus ponens not0 metavar var a end metavar imply not0 metavar var a end metavar modus ponens not0 metavar var a end metavar imply not0 not0 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,