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
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
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
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,