define pyk of lemma QisClosed(negative) as text unicode start of text unicode small l unicode small e unicode small m unicode small m unicode small a unicode space unicode capital q unicode small i unicode small s unicode capital c unicode small l unicode small o unicode small s unicode small e unicode small d unicode left parenthesis unicode small n unicode small e unicode small g unicode small a unicode small t unicode small i unicode small v unicode small e unicode right parenthesis unicode end of text end unicode text end text end define
define tex of lemma QisClosed(negative) as text unicode start of text unicode capital q unicode small i unicode small s unicode capital c unicode small l unicode small o unicode small s unicode small e unicode small d unicode left parenthesis unicode capital n unicode small e unicode small g unicode small a unicode small t unicode small i unicode small v unicode small e unicode right parenthesis unicode end of text end unicode text end text end define
define statement of lemma QisClosed(negative) as system Q infer all metavar var x end metavar indeed metavar var x end metavar in0 Q infer - metavar var x end metavar in0 Q end define
define proof of lemma QisClosed(negative) as lambda var c dot lambda var x dot proof expand quote system Q infer all metavar var x end metavar indeed metavar var x end metavar in0 Q infer axiom QisClosed(negative) conclude metavar var x end metavar in0 Q imply - metavar var x end metavar in0 Q cut 1rule mp modus ponens metavar var x end metavar in0 Q imply - metavar var x end metavar in0 Q modus ponens metavar var x end metavar in0 Q conclude - metavar var x end metavar in0 Q end quote state proof state cache var c end expand end define
The pyk compiler, version 0.grue.20060417+ by Klaus Grue,