Logiweb aspects of lemma power set is subset in pyk

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The predefined "pyk" aspect

define pyk of lemma power 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 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 end of text end unicode text end text end define

The predefined "tex" aspect

define tex of lemma power set is subset as text unicode start of text 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 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 s end metavar end quote endorse 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 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 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 s end metavar end quote endorse 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 power metavar var x end metavar end power infer 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 second 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 metavar var s end metavar zermelo in power metavar var x end metavar end power 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 lemma power set is subset0 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 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 imply 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 1rule mp 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 imply 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 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 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 1rule repetition 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 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