Logiweb aspects of prop lemma first conjunct in pyk

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The predefined "pyk" aspect

define pyk of prop lemma first conjunct as text unicode start of text unicode small p unicode small r unicode small o unicode small p unicode space unicode small l unicode small e unicode small m unicode small m unicode small a unicode space unicode small f unicode small i unicode small r unicode small s unicode small t unicode space unicode small c unicode small o unicode small n unicode small j unicode small u unicode small n unicode small c unicode small t unicode end of text end unicode text end text end define

The predefined "tex" aspect

define tex of prop lemma first conjunct as text unicode start of text unicode capital f unicode small i unicode small r unicode small s unicode small t unicode capital c unicode small o unicode small n unicode small j unicode small u unicode small n unicode small c unicode small t unicode end of text end unicode text end text end define

The user defined "the statement aspect" aspect

define statement of prop lemma first conjunct as system Q infer all metavar var a end metavar indeed all metavar var b end metavar indeed not0 metavar var a end metavar imply not0 metavar var b end metavar infer metavar var a end metavar end define

The user defined "the proof aspect" aspect

define proof of prop lemma first conjunct as lambda var c dot lambda var x dot proof expand quote system Q infer all metavar var a end metavar indeed all metavar var b end metavar indeed not0 metavar var a end metavar imply not0 metavar var b end metavar infer prop lemma and commutativity modus ponens not0 metavar var a end metavar imply not0 metavar var b end metavar conclude not0 metavar var b end metavar imply not0 metavar var a end metavar cut prop lemma second conjunct modus ponens not0 metavar var b end metavar imply not0 metavar var a end metavar conclude metavar var a end metavar end quote state proof state cache var c end expand end define