Logiweb aspects of lemma sameMember(2) in pyk

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The predefined "pyk" aspect

define pyk of lemma sameMember(2) 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 a unicode small m unicode small e unicode capital m unicode small e unicode small m unicode small b unicode small e unicode small r unicode left parenthesis unicode two unicode right parenthesis unicode end of text end unicode text end text end define

The predefined "tex" aspect

define tex of lemma sameMember(2) as text unicode start of text unicode capital s unicode small a unicode small m unicode small e unicode capital m unicode small e unicode small m unicode small b unicode small e unicode small r unicode left parenthesis unicode two unicode right parenthesis unicode end of text end unicode text end text end define

The user defined "the statement aspect" aspect

define statement of lemma sameMember(2) 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 metavar var sx end metavar = metavar var sy end metavar infer metavar var sy end metavar in0 metavar var sz end metavar infer metavar var sx end metavar in0 metavar var sz end metavar end define

The user defined "the proof aspect" aspect

define proof of lemma sameMember(2) 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 metavar var sx end metavar = metavar var sy end metavar infer metavar var sy end metavar in0 metavar var sz end metavar infer lemma eqSymmetry modus ponens metavar var sx end metavar = metavar var sy end metavar conclude metavar var sy end metavar = metavar var sx end metavar cut lemma sameMember modus ponens metavar var sy end metavar = metavar var sx end metavar modus ponens metavar var sy end metavar in0 metavar var sz end metavar conclude metavar var sx end metavar in0 metavar var sz end metavar end quote state proof state cache var c end expand end define