Logiweb aspects of lemma unique empty set0 in pyk

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The predefined "pyk" aspect

define pyk of lemma unique empty set0 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 zero unicode end of text end unicode text end text end define

The predefined "tex" aspect

define tex of lemma unique empty set0 as text unicode start of text unicode capital h unicode small e unicode small l unicode small p unicode small e unicode small r 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 set0 as system zf infer all metavar var s end metavar indeed all metavar var x end metavar indeed not0 metavar var s end metavar zermelo in metavar var x end metavar infer metavar var s end metavar zermelo in metavar var x end metavar imply metavar var s end metavar zermelo in zermelo empty set end define

The user defined "the proof aspect" aspect

define proof of lemma unique empty set0 as lambda var c dot lambda var x dot proof expand quote system zf infer all metavar var s end metavar indeed all metavar var x end metavar indeed not0 metavar var s end metavar zermelo in metavar var x end metavar infer metavar var s end metavar zermelo in metavar var x end metavar infer prop lemma from contradiction modus ponens metavar var s end metavar zermelo in metavar var x end metavar modus ponens not0 metavar var s end metavar zermelo in metavar var x end metavar conclude metavar var s end metavar zermelo in zermelo empty set cut all metavar var s end metavar indeed all metavar var x end metavar indeed 1rule deduction modus ponens all metavar var s end metavar indeed all metavar var x end metavar indeed not0 metavar var s end metavar zermelo in metavar var x end metavar infer metavar var s end metavar zermelo in metavar var x end metavar infer metavar var s end metavar zermelo in zermelo empty set conclude not0 metavar var s end metavar zermelo in metavar var x end metavar imply metavar var s end metavar zermelo in metavar var x end metavar imply metavar var s end metavar zermelo in zermelo empty set cut not0 metavar var s end metavar zermelo in metavar var x end metavar infer 1rule mp modus ponens not0 metavar var s end metavar zermelo in metavar var x end metavar imply metavar var s end metavar zermelo in metavar var x end metavar imply metavar var s end metavar zermelo in zermelo empty set modus ponens not0 metavar var s end metavar zermelo in metavar var x end metavar conclude metavar var s end metavar zermelo in metavar var x end metavar imply metavar var s end metavar zermelo in zermelo empty set end quote state proof state cache var c end expand end define