Logiweb aspects of lemma QisClosed(reciprocal) in pyk

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The predefined "pyk" aspect

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

The predefined "tex" aspect

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

The user defined "the statement aspect" aspect

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

The user defined "the proof aspect" aspect

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