Logiweb aspects of lemma fromSingleton in pyk

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The predefined "pyk" aspect

define pyk of lemma fromSingleton 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 f unicode small r unicode small o unicode small m unicode capital s unicode small i unicode small n unicode small g unicode small l unicode small e unicode small t unicode small o unicode small n unicode end of text end unicode text end text end define

The predefined "tex" aspect

define tex of lemma fromSingleton as text unicode start of text unicode capital f unicode small r unicode small o unicode small m unicode capital s unicode small i unicode small n unicode small g unicode small l unicode small e unicode small t unicode small o unicode small n unicode end of text end unicode text end text end define

The user defined "the statement aspect" aspect

define statement of lemma fromSingleton as system Q infer all metavar var sx end metavar indeed all metavar var sy end metavar indeed metavar var sx end metavar in0 zermelo pair metavar var sy end metavar comma metavar var sy end metavar end pair infer metavar var sx end metavar = metavar var sy end metavar end define

The user defined "the proof aspect" aspect

define proof of lemma fromSingleton as lambda var c dot lambda var x dot proof expand quote system Q infer all metavar var sx end metavar indeed all metavar var sy end metavar indeed metavar var sx end metavar in0 zermelo pair metavar var sy end metavar comma metavar var sy end metavar end pair infer 1rule repetition modus ponens metavar var sx end metavar in0 zermelo pair metavar var sy end metavar comma metavar var sy end metavar end pair conclude metavar var sx end metavar in0 zermelo pair metavar var sy end metavar comma metavar var sy end metavar end pair cut lemma pair2formula modus ponens metavar var sx end metavar in0 zermelo pair metavar var sy end metavar comma metavar var sy end metavar end pair conclude not0 metavar var sx end metavar = metavar var sy end metavar imply metavar var sx end metavar = metavar var sy end metavar cut prop lemma remove or modus ponens not0 metavar var sx end metavar = metavar var sy end metavar imply metavar var sx end metavar = metavar var sy end metavar conclude metavar var sx end metavar = metavar var sy end metavar end quote state proof state cache var c end expand end define