Logiweb aspects of lemma transfer ~is0 in pyk

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The predefined "pyk" aspect

define pyk of lemma transfer ~is0 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 t unicode small r unicode small a unicode small n unicode small s unicode small f unicode small e unicode small r unicode space unicode tilde unicode small i unicode small s unicode zero unicode end of text end unicode text end text end define

The predefined "tex" aspect

define tex of lemma transfer ~is0 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 t unicode small r unicode small a unicode small n unicode small s unicode small f unicode small e unicode small r unicode capital n unicode small o unicode small t unicode capital e unicode small q unicode end of text end unicode text end text end define

The user defined "the statement aspect" aspect

define statement of lemma transfer ~is0 as system zf infer all metavar var x end metavar indeed all metavar var y end metavar indeed all metavar var v end metavar indeed all metavar var w end metavar indeed quote object var var s end var end quote avoid zero quote metavar var x end metavar end quote endorse quote object var var s end var end quote avoid zero quote metavar var y end metavar end quote endorse quote object var var s end var end quote avoid zero quote metavar var v end metavar end quote endorse quote object var var s end var end quote avoid zero quote metavar var w end metavar end quote endorse metavar var x end metavar zermelo is metavar var v end metavar imply metavar var y end metavar zermelo is metavar var w end metavar imply metavar var v end metavar zermelo is metavar var w end metavar imply metavar var x end metavar zermelo is metavar var y end metavar end define

The user defined "the proof aspect" aspect

define proof of lemma transfer ~is0 as lambda var c dot lambda var x dot proof expand quote system zf infer all metavar var x end metavar indeed all metavar var y end metavar indeed all metavar var v end metavar indeed all metavar var w end metavar indeed quote object var var s end var end quote avoid zero quote metavar var x end metavar end quote endorse quote object var var s end var end quote avoid zero quote metavar var y end metavar end quote endorse quote object var var s end var end quote avoid zero quote metavar var v end metavar end quote endorse quote object var var s end var end quote avoid zero quote metavar var w end metavar end quote endorse metavar var x end metavar zermelo is metavar var v end metavar infer metavar var y end metavar zermelo is metavar var w end metavar infer metavar var v end metavar zermelo is metavar var w end metavar infer lemma =transitivity modus probans quote object var var s end var end quote avoid zero quote metavar var x end metavar end quote modus probans quote object var var s end var end quote avoid zero quote metavar var v end metavar end quote modus probans quote object var var s end var end quote avoid zero quote metavar var w end metavar end quote modus ponens metavar var x end metavar zermelo is metavar var v end metavar modus ponens metavar var v end metavar zermelo is metavar var w end metavar conclude metavar var x end metavar zermelo is metavar var w end metavar cut lemma =symmetry modus probans quote object var var s end var end quote avoid zero quote metavar var y end metavar end quote modus probans quote object var var s end var end quote avoid zero quote metavar var w end metavar end quote modus ponens metavar var y end metavar zermelo is metavar var w end metavar conclude metavar var w end metavar zermelo is metavar var y end metavar cut lemma =transitivity modus probans quote object var var s end var end quote avoid zero quote metavar var x end metavar end quote modus probans quote object var var s end var end quote avoid zero quote metavar var w end metavar end quote modus probans quote object var var s end var end quote avoid zero quote metavar var y end metavar end quote modus ponens metavar var x end metavar zermelo is metavar var w end metavar modus ponens metavar var w end metavar zermelo is metavar var y end metavar conclude metavar var x end metavar zermelo is metavar var y end metavar cut all metavar var x end metavar indeed all metavar var y end metavar indeed all metavar var v end metavar indeed all metavar var w end metavar indeed 1rule deduction modus ponens all metavar var x end metavar indeed all metavar var y end metavar indeed all metavar var v end metavar indeed all metavar var w end metavar indeed quote object var var s end var end quote avoid zero quote metavar var x end metavar end quote endorse quote object var var s end var end quote avoid zero quote metavar var y end metavar end quote endorse quote object var var s end var end quote avoid zero quote metavar var v end metavar end quote endorse quote object var var s end var end quote avoid zero quote metavar var w end metavar end quote endorse metavar var x end metavar zermelo is metavar var v end metavar infer metavar var y end metavar zermelo is metavar var w end metavar infer metavar var v end metavar zermelo is metavar var w end metavar infer metavar var x end metavar zermelo is metavar var y end metavar conclude quote object var var s end var end quote avoid zero quote metavar var x end metavar end quote endorse quote object var var s end var end quote avoid zero quote metavar var y end metavar end quote endorse quote object var var s end var end quote avoid zero quote metavar var v end metavar end quote endorse quote object var var s end var end quote avoid zero quote metavar var w end metavar end quote endorse metavar var x end metavar zermelo is metavar var v end metavar imply metavar var y end metavar zermelo is metavar var w end metavar imply metavar var v end metavar zermelo is metavar var w end metavar imply metavar var x end metavar zermelo is metavar var y end metavar end quote state proof state cache var c end expand end define