define pyk of lemma QisClosed(reciprocal) 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 r unicode small e unicode small c unicode small i unicode small p unicode small r unicode small o unicode small c unicode small a unicode small l unicode right parenthesis unicode end of text end unicode text end text end define
define tex of lemma QisClosed(reciprocal) 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 r unicode small e unicode small c unicode small i unicode small p unicode small r unicode small o unicode small c unicode small a unicode small l unicode right parenthesis unicode end of text end unicode text end text end define
define statement of lemma QisClosed(reciprocal) as system Q infer all metavar var x end metavar indeed not0 metavar var x end metavar = 0 infer metavar var x end metavar in0 Q infer 1/ metavar var x end metavar in0 Q end define
define proof of lemma QisClosed(reciprocal) as lambda var c dot lambda var x dot proof expand quote system Q infer all metavar var x end metavar indeed not0 metavar var x end metavar = 0 infer metavar var x end metavar in0 Q infer axiom QisClosed(reciprocal) conclude not0 metavar var x end metavar = 0 imply metavar var x end metavar in0 Q imply 1/ metavar var x end metavar in0 Q cut prop lemma mp2 modus ponens not0 metavar var x end metavar = 0 imply metavar var x end metavar in0 Q imply 1/ metavar var x end metavar in0 Q modus ponens not0 metavar var x end metavar = 0 modus ponens metavar var x end metavar in0 Q conclude 1/ 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,