Logiweb aspects of lemma unique empty set in pyk

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The predefined "pyk" aspect

define pyk of lemma unique empty set 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 u unicode small n unicode small i unicode small q unicode small u unicode small e unicode space unicode small e unicode small m unicode small p unicode small t unicode small y unicode space unicode small s unicode small e unicode small t unicode end of text end unicode text end text end define

The predefined "tex" aspect

define tex of lemma unique empty set as text unicode start of text unicode capital u unicode small n unicode small i unicode small q unicode small u unicode small e unicode backslash unicode capital o unicode left brace unicode right brace unicode end of text end unicode text end text end define

The user defined "the statement aspect" aspect

define statement of lemma unique empty set as system zf infer all metavar var x end metavar indeed not0 object var var s end var zermelo in metavar var x end metavar infer metavar var x end metavar zermelo is zermelo empty set end define

The user defined "the proof aspect" aspect

define proof of lemma unique empty set as lambda var c dot lambda var x dot proof expand quote system zf infer all metavar var x end metavar indeed not0 object var var s end var zermelo in metavar var x end metavar infer lemma unique empty set0 modus ponens not0 object var var s end var zermelo in metavar var x end metavar conclude object var var s end var zermelo in metavar var x end metavar imply object var var s end var zermelo in zermelo empty set cut lemma empty set is subset conclude object var var s end var zermelo in zermelo empty set imply object var var s end var zermelo in metavar var x end metavar cut lemma set equality suff condition modus ponens object var var s end var zermelo in metavar var x end metavar imply object var var s end var zermelo in zermelo empty set modus ponens object var var s end var zermelo in zermelo empty set imply object var var s end var zermelo in metavar var x end metavar conclude metavar var x end metavar zermelo is zermelo empty set end quote state proof state cache var c end expand end define