Logiweb aspects of lemma member not empty in pyk

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The predefined "pyk" aspect

define pyk of lemma member not empty 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 m unicode small e unicode small m unicode small b unicode small e unicode small r unicode space unicode small n unicode small o unicode small t unicode space unicode small e unicode small m unicode small p unicode small t unicode small y unicode end of text end unicode text end text end define

The predefined "tex" aspect

define tex of lemma member not empty as text unicode start of text unicode capital m unicode small e unicode small m unicode small b unicode small e unicode small r unicode capital n unicode small o unicode small t 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 member not empty as system zf infer all metavar var s end metavar indeed all metavar var x end metavar indeed quote object var var s end var end quote avoid zero quote metavar var x end metavar end quote endorse metavar var s end metavar zermelo in metavar var x end metavar infer not0 metavar var x end metavar zermelo is zermelo empty set end define

The user defined "the proof aspect" aspect

define proof of lemma member not empty 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 quote object var var s end var end quote avoid zero quote metavar var x end metavar end quote endorse metavar var s end metavar zermelo in metavar var x end metavar infer lemma member not empty0 modus probans quote object var var s end var end quote avoid zero quote metavar var x end metavar end quote conclude metavar var s end metavar zermelo in metavar var x end metavar imply metavar var x end metavar zermelo is zermelo empty set imply metavar var s end metavar zermelo in zermelo empty set cut 1rule mp modus ponens metavar var s end metavar zermelo in metavar var x end metavar imply metavar var x end metavar zermelo is zermelo empty set imply metavar var s end metavar zermelo in zermelo empty set modus ponens metavar var s end metavar zermelo in metavar var x end metavar conclude metavar var x end metavar zermelo is zermelo empty set imply metavar var s end metavar zermelo in zermelo empty set cut axiom empty set conclude not0 metavar var s end metavar zermelo in zermelo empty set cut prop lemma mt modus ponens metavar var x end metavar zermelo is zermelo empty set imply metavar var s end metavar zermelo in zermelo empty set modus ponens not0 metavar var s end metavar zermelo in zermelo empty set conclude not0 metavar var x end metavar zermelo is zermelo empty set end quote state proof state cache var c end expand end define