Logiweb aspects of lemma reciprocal in pyk

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The predefined "pyk" aspect

define pyk of lemma 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 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 end of text end unicode text end text end define

The predefined "tex" aspect

define tex of lemma reciprocal as text unicode start of text 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 end of text end unicode text end text end define

The user defined "the statement aspect" aspect

define statement of lemma 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 * 1/ metavar var x end metavar = 1 end define

The user defined "the proof aspect" aspect

define proof of lemma 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 axiom reciprocal conclude not0 metavar var x end metavar = 0 imply metavar var x end metavar * 1/ metavar var x end metavar = 1 cut 1rule mp modus ponens not0 metavar var x end metavar = 0 imply metavar var x end metavar * 1/ metavar var x end metavar = 1 modus ponens not0 metavar var x end metavar = 0 conclude metavar var x end metavar * 1/ metavar var x end metavar = 1 end quote state proof state cache var c end expand end define