Logiweb aspects of prop lemma weakening in pyk

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The predefined "pyk" aspect

define pyk of prop lemma weakening 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 w unicode small e unicode small a unicode small k unicode small e unicode small n unicode small i unicode small n unicode small g unicode end of text end unicode text end text end define

The predefined "tex" aspect

define tex of prop lemma weakening as text unicode start of text unicode capital w unicode small e unicode small a unicode small k unicode small e unicode small n unicode small i unicode small n unicode small g unicode end of text end unicode text end text end define

The user defined "the statement aspect" aspect

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

The user defined "the proof aspect" aspect

define proof of prop lemma weakening 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 b end metavar infer metavar var a end metavar infer 1rule repetition modus ponens metavar var b end metavar conclude metavar var b end metavar cut all metavar var a end metavar indeed all metavar var b end metavar indeed 1rule deduction modus ponens all metavar var a end metavar indeed all metavar var b end metavar indeed metavar var b end metavar infer metavar var a end metavar infer metavar var b end metavar conclude metavar var b end metavar imply metavar var a end metavar imply metavar var b end metavar cut metavar var b end metavar infer 1rule mp modus ponens metavar var b end metavar imply metavar var a end metavar imply metavar var b end metavar modus ponens metavar var b end metavar conclude metavar var a end metavar imply metavar var b end metavar end quote state proof state cache var c end expand end define