Logiweb aspects of lemma power set is subset-switch in pyk

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The predefined "pyk" aspect

define pyk of lemma power set is subset-switch 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 p unicode small o unicode small w unicode small e unicode small r 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 hyphen unicode small s unicode small w unicode small i unicode small t unicode small c unicode small h unicode end of text end unicode text end text end define

The predefined "tex" aspect

define tex of lemma power set is subset-switch as text unicode start of text unicode left parenthesis unicode capital s unicode small w unicode small i unicode small t unicode small c unicode small h unicode right parenthesis unicode capital p unicode small o unicode small w unicode small e unicode small r unicode capital i unicode small s unicode capital s unicode small u unicode small b unicode end of text end unicode text end text end define

The user defined "the statement aspect" aspect

define statement of lemma power set is subset-switch 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 quote object var var s end var end quote avoid zero quote metavar var s end metavar end quote endorse metavar var s end metavar zermelo in power metavar var x end metavar end power infer object var var s end var zermelo in metavar var s end metavar imply object var var s end var zermelo in metavar var x end metavar end define

The user defined "the proof aspect" aspect

define proof of lemma power set is subset-switch 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 quote object var var s end var end quote avoid zero quote metavar var s end metavar end quote endorse metavar var s end metavar zermelo in power metavar var x end metavar end power infer lemma power set is subset modus probans quote object var var s end var end quote avoid zero quote metavar var s end metavar end quote modus probans quote object var var s end var end quote avoid zero quote metavar var x end metavar end quote modus ponens metavar var s end metavar zermelo in power metavar var x end metavar end power conclude object var var s end var zermelo in metavar var s end metavar imply object var var s end var zermelo in metavar var x end metavar end quote state proof state cache var c end expand end define