Logiweb aspects of lemma fromSubset in pyk

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The predefined "pyk" aspect

define pyk of lemma fromSubset 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 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 fromSubset as text unicode start of text unicode capital f unicode small r unicode small o unicode small m unicode capital 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 user defined "the statement aspect" aspect

define statement of lemma fromSubset as system Q infer all metavar var sx end metavar indeed all metavar var sy end metavar indeed all metavar var sz end metavar indeed for all objects object var var s1 end var indeed object var var s1 end var in0 metavar var sx end metavar imply object var var s1 end var in0 metavar var sy end metavar infer metavar var sz end metavar in0 metavar var sx end metavar infer metavar var sz end metavar in0 metavar var sy end metavar end define

The user defined "the proof aspect" aspect

define proof of lemma fromSubset 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 all metavar var sz end metavar indeed for all objects object var var s1 end var indeed object var var s1 end var in0 metavar var sx end metavar imply object var var s1 end var in0 metavar var sy end metavar infer metavar var sz end metavar in0 metavar var sx end metavar infer 1rule repetition modus ponens for all objects object var var s1 end var indeed object var var s1 end var in0 metavar var sx end metavar imply object var var s1 end var in0 metavar var sy end metavar conclude for all objects object var var s1 end var indeed object var var s1 end var in0 metavar var sx end metavar imply object var var s1 end var in0 metavar var sy end metavar cut lemma a4 at metavar var sz end metavar modus ponens for all objects object var var s1 end var indeed object var var s1 end var in0 metavar var sx end metavar imply object var var s1 end var in0 metavar var sy end metavar conclude metavar var sz end metavar in0 metavar var sx end metavar imply metavar var sz end metavar in0 metavar var sy end metavar cut 1rule mp modus ponens metavar var sz end metavar in0 metavar var sx end metavar imply metavar var sz end metavar in0 metavar var sy end metavar modus ponens metavar var sz end metavar in0 metavar var sx end metavar conclude metavar var sz end metavar in0 metavar var sy end metavar end quote state proof state cache var c end expand end define