Logiweb aspects of prop lemma iff second in pyk

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The predefined "pyk" aspect

define pyk of prop lemma iff second 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 f unicode small f unicode space unicode small s unicode small e unicode small c unicode small o unicode small n unicode small d unicode end of text end unicode text end text end define

The predefined "tex" aspect

define tex of prop lemma iff second as text unicode start of text unicode capital i unicode small f unicode small f unicode capital s unicode small e unicode small c unicode small o unicode small n unicode small d unicode end of text end unicode text end text end define

The user defined "the statement aspect" aspect

define statement of prop lemma iff second 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 metavar var b end metavar imply not0 metavar var b end metavar imply metavar var a end metavar infer metavar var a end metavar infer metavar var b end metavar end define

The user defined "the proof aspect" aspect

define proof of prop lemma iff second 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 metavar var b end metavar imply not0 metavar var b end metavar imply metavar var a end metavar infer metavar var a end metavar infer prop lemma first conjunct modus ponens not0 metavar var a end metavar imply metavar var b end metavar imply not0 metavar var b end metavar imply metavar var a end metavar conclude metavar var a end metavar imply metavar var b end metavar cut 1rule mp modus ponens metavar var a end metavar imply metavar var b end metavar modus ponens metavar var a end metavar conclude metavar var b end metavar end quote state proof state cache var c end expand end define