define pyk of disjin1 as text unicode start of text unicode small d unicode small i unicode small s unicode small j unicode small i unicode small n unicode one unicode end of text end unicode text end text end define
define tex of disjin1 as text unicode start of text unicode newline unicode capital d unicode small i unicode small s unicode one unicode end of text end unicode text end text end define
define statement of disjin1 as system s infer all metavar var a end metavar indeed all metavar var b end metavar indeed metavar var a end metavar infer not metavar var a end metavar imply metavar var b end metavar end define
define proof of disjin1 as lambda var c dot lambda var x dot proof expand quote system s infer all metavar var a end metavar indeed all metavar var b end metavar indeed metavar var a end metavar infer t one conclude not not metavar var a end metavar imply not metavar var a end metavar imply metavar var b end metavar cut h two conclude metavar var a end metavar imply not not metavar var a end metavar cut rule mp modus ponens metavar var a end metavar imply not not metavar var a end metavar modus ponens metavar var a end metavar conclude not not metavar var a end metavar cut rule mp modus ponens not not metavar var a end metavar imply not metavar var a end metavar imply metavar var b end metavar modus ponens not not metavar var a end metavar conclude not metavar var a end metavar imply metavar var b end metavar end quote state proof state cache var c end expand end define
The pyk compiler, version 0.grue.20060417+ by Klaus Grue,