Logiweb aspects of prop lemma from negations in pyk

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The predefined "pyk" aspect

define pyk of prop lemma from negations 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 r unicode small o unicode small m 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 small s unicode end of text end unicode text end text end define

The predefined "tex" aspect

define tex of prop lemma from negations as text unicode start of text unicode capital f unicode small r unicode small o unicode small m unicode capital n unicode small e unicode small g unicode small a unicode small t unicode small i unicode small o unicode small n unicode small s unicode end of text end unicode text end text end define

The user defined "the statement aspect" aspect

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

The user defined "the proof aspect" aspect

define proof of prop lemma from negations 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 metavar var a end metavar imply metavar var b end metavar infer not0 metavar var a end metavar imply metavar var b end metavar infer 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 metavar var b end metavar modus ponens not0 metavar var a end metavar imply metavar var b end metavar conclude metavar var b end metavar end quote state proof state cache var c end expand end define