Logiweb aspects of prop lemma imply negation in pyk

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The predefined "pyk" aspect

define pyk of prop lemma imply negation 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 i unicode small m unicode small p unicode small l unicode small y unicode space unicode small n unicode small e unicode small g unicode small a unicode small t unicode small i 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 prop lemma imply negation as system Q infer all metavar var a end metavar indeed metavar var a end metavar imply not0 metavar var a end metavar infer not0 metavar var a end metavar end define

The user defined "the proof aspect" aspect

define proof of prop lemma imply negation as lambda var c dot lambda var x dot proof expand quote system Q infer all metavar var a end metavar indeed metavar var a end metavar imply not0 metavar var a end metavar infer prop lemma auto imply conclude not0 metavar var a end metavar imply not0 metavar var a end metavar cut prop lemma tertium non datur conclude not0 metavar var a end metavar imply not0 metavar var a end metavar cut prop lemma from disjuncts modus ponens not0 metavar var a end metavar imply not0 metavar var a end metavar modus ponens metavar var a end metavar imply not0 metavar var a end metavar modus ponens not0 metavar var a end metavar imply not0 metavar var a end metavar conclude not0 metavar var a end metavar end quote state proof state cache var c end expand end define