Logiweb aspects of lemma empty set is subset in pyk

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The predefined "pyk" aspect

define pyk of lemma empty set is subset 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 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 space unicode small i unicode small s unicode space unicode small s unicode small u unicode small b 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 empty set is subset as text unicode start of text unicode backslash unicode capital o unicode left brace unicode right brace unicode small i unicode small s unicode capital s unicode small u unicode small b unicode small s unicode small e unicode small t unicode end of text end unicode text end text end define

The user defined "the statement aspect" aspect

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

The user defined "the proof aspect" aspect

define proof of lemma empty set is subset 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 metavar var s end metavar zermelo in zermelo empty set infer axiom empty set conclude not0 metavar var s end metavar zermelo in zermelo empty set cut prop lemma from contradiction modus ponens metavar var s end metavar zermelo in zermelo empty set modus ponens not0 metavar var s end metavar zermelo in zermelo empty set conclude metavar var s end metavar zermelo in metavar var x end metavar 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 metavar var s end metavar zermelo in zermelo empty set infer metavar var s end metavar zermelo in metavar var x end metavar conclude metavar var s end metavar zermelo in zermelo empty set imply metavar var s end metavar zermelo in metavar var x end metavar end quote state proof state cache var c end expand end define