Logiweb(TM)

Logiweb aspects of lemma subNeqRight in pyk

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The predefined "pyk" aspect

define pyk of lemma subNeqRight as text unicode start of text unicode small l unicode small e unicode small m unicode small m unicode small a unicode space unicode small s unicode small u unicode small b unicode capital n unicode small e unicode small q unicode capital r unicode small i unicode small g unicode small h unicode small t unicode end of text end unicode text end text end define

The predefined "tex" aspect

define tex of lemma subNeqRight as text unicode start of text unicode capital s unicode small u unicode small b unicode capital n unicode small e unicode small q unicode capital r unicode small i unicode small g unicode small h unicode small t unicode end of text end unicode text end text end define

The user defined "the statement aspect" aspect

define statement of lemma subNeqRight as system Q infer all metavar var x end metavar indeed all metavar var y end metavar indeed all metavar var z end metavar indeed metavar var x end metavar = metavar var y end metavar infer not0 metavar var z end metavar = metavar var x end metavar infer not0 metavar var z end metavar = metavar var y end metavar end define

The user defined "the proof aspect" aspect

define proof of lemma subNeqRight as lambda var c dot lambda var x dot proof expand quote system Q infer all metavar var x end metavar indeed all metavar var y end metavar indeed all metavar var z end metavar indeed metavar var x end metavar = metavar var y end metavar infer not0 metavar var z end metavar = metavar var x end metavar infer lemma neqSymmetry modus ponens not0 metavar var z end metavar = metavar var x end metavar conclude not0 metavar var x end metavar = metavar var z end metavar cut lemma subNeqLeft modus ponens metavar var x end metavar = metavar var y end metavar modus ponens not0 metavar var x end metavar = metavar var z end metavar conclude not0 metavar var y end metavar = metavar var z end metavar cut lemma neqSymmetry modus ponens not0 metavar var y end metavar = metavar var z end metavar conclude not0 metavar var z end metavar = metavar var y end metavar end quote state proof state cache var c end expand end define

The pyk compiler, version 0.grue.20060417+ by Klaus Grue,
GRD-2006-09-15.UTC:09:33:20.992497 = MJD-53993.TAI:09:33:53.992497 = LGT-4665029633992497e-6