define pyk of prop lemma from three disjuncts 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 t unicode small h unicode small r unicode small e unicode small e unicode space unicode small d unicode small i unicode small s unicode small j unicode small u unicode small n unicode small c unicode small t unicode small s unicode end of text end unicode text end text end define
define tex of prop lemma from three disjuncts as text unicode start of text unicode capital f unicode small r unicode small o unicode small m unicode three unicode capital d unicode small i unicode small s unicode small j unicode small u unicode small n unicode small c unicode small t unicode small s unicode end of text end unicode text end text end define
define statement of prop lemma from three disjuncts as system Q infer all metavar var a end metavar indeed all metavar var b end metavar indeed all metavar var c end metavar indeed all metavar var d end metavar indeed not0 metavar var a end metavar imply not0 metavar var b end metavar imply metavar var c end metavar infer metavar var a end metavar imply metavar var d end metavar infer metavar var b end metavar imply metavar var d end metavar infer metavar var c end metavar imply metavar var d end metavar infer metavar var d end metavar end define
define proof of prop lemma from three disjuncts 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 all metavar var c end metavar indeed all metavar var d end metavar indeed not0 metavar var a end metavar imply not0 metavar var b end metavar imply metavar var c end metavar infer metavar var b end metavar imply metavar var d end metavar infer metavar var c end metavar imply metavar var d end metavar infer not0 metavar var a end metavar infer 1rule repetition modus ponens not0 metavar var a end metavar imply not0 metavar var b end metavar imply metavar var c end metavar conclude not0 metavar var a end metavar imply not0 metavar var b end metavar imply metavar var c end metavar cut 1rule mp modus ponens not0 metavar var a end metavar imply not0 metavar var b end metavar imply metavar var c end metavar modus ponens not0 metavar var a end metavar conclude not0 metavar var b end metavar imply metavar var c end metavar cut prop lemma from disjuncts modus ponens not0 metavar var b end metavar imply metavar var c end metavar modus ponens metavar var b end metavar imply metavar var d end metavar modus ponens metavar var c end metavar imply metavar var d end metavar conclude metavar var d end metavar cut all metavar var a end metavar indeed all metavar var b end metavar indeed all metavar var c end metavar indeed all metavar var d end metavar indeed 1rule deduction modus ponens all metavar var a end metavar indeed all metavar var b end metavar indeed all metavar var c end metavar indeed all metavar var d end metavar indeed not0 metavar var a end metavar imply not0 metavar var b end metavar imply metavar var c end metavar infer metavar var b end metavar imply metavar var d end metavar infer metavar var c end metavar imply metavar var d end metavar infer not0 metavar var a end metavar infer metavar var d end metavar conclude not0 metavar var a end metavar imply not0 metavar var b end metavar imply metavar var c end metavar imply metavar var b end metavar imply metavar var d end metavar imply metavar var c end metavar imply metavar var d end metavar imply not0 metavar var a end metavar imply metavar var d end metavar cut prop lemma auto imply conclude metavar var a end metavar imply metavar var d end metavar imply metavar var a end metavar imply metavar var d end metavar cut not0 metavar var a end metavar imply not0 metavar var b end metavar imply metavar var c end metavar infer metavar var a end metavar imply metavar var d end metavar infer metavar var b end metavar imply metavar var d end metavar infer metavar var c end metavar imply metavar var d end metavar infer prop lemma mp3 modus ponens not0 metavar var a end metavar imply not0 metavar var b end metavar imply metavar var c end metavar imply metavar var b end metavar imply metavar var d end metavar imply metavar var c end metavar imply metavar var d end metavar imply not0 metavar var a end metavar imply metavar var d end metavar modus ponens not0 metavar var a end metavar imply not0 metavar var b end metavar imply metavar var c end metavar modus ponens metavar var b end metavar imply metavar var d end metavar modus ponens metavar var c end metavar imply metavar var d end metavar conclude not0 metavar var a end metavar imply metavar var d end metavar cut 1rule mp modus ponens metavar var a end metavar imply metavar var d end metavar imply metavar var a end metavar imply metavar var d end metavar modus ponens metavar var a end metavar imply metavar var d end metavar conclude metavar var a end metavar imply metavar var d end metavar cut prop lemma from negations modus ponens metavar var a end metavar imply metavar var d end metavar modus ponens not0 metavar var a end metavar imply metavar var d end metavar conclude metavar var d end metavar end quote state proof state cache var c end expand end define
The pyk compiler, version 0.grue.20060417+ by Klaus Grue,