Logiweb aspects of lemma subset in power set in pyk

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The predefined "pyk" aspect

define pyk of lemma subset in power set 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 s unicode small u unicode small b unicode small s unicode small e unicode small t unicode space unicode small i unicode small n 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 end of text end unicode text end text end define

The predefined "tex" aspect

define tex of lemma subset in power set as text unicode start of text unicode capital s unicode small u unicode small b unicode small s unicode small e unicode small t unicode capital i unicode small n unicode capital p unicode small o unicode small w unicode small e unicode small r unicode end of text end unicode text end text end define

The user defined "the statement aspect" aspect

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

The user defined "the proof aspect" aspect

define proof of lemma subset in power set 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 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 infer 1rule gen modus ponens 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 conclude for all objects object var var s end var indeed 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 cut axiom power definition conclude not0 metavar var s end metavar zermelo in power metavar var x end metavar end power imply for all objects object var var s end var indeed 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 imply not0 for all objects object var var s end var indeed 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 imply metavar var s end metavar zermelo in power metavar var x end metavar end power cut prop lemma iff first modus ponens not0 metavar var s end metavar zermelo in power metavar var x end metavar end power imply for all objects object var var s end var indeed 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 imply not0 for all objects object var var s end var indeed 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 imply metavar var s end metavar zermelo in power metavar var x end metavar end power modus ponens for all objects object var var s end var indeed 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 conclude metavar var s end metavar zermelo in power metavar var x end metavar end power end quote state proof state cache var c end expand end define