define pyk of nontriv2 as text unicode start of text unicode small n unicode small o unicode small n unicode small t unicode small r unicode small i unicode small v unicode two unicode end of text end unicode text end text end define
define statement of nontriv2 as pred calc infer all metavar var p end metavar indeed all metavar var q end metavar indeed lnot metavar var p end metavar imply metavar var q end metavar infer lnot metavar var p end metavar infer metavar var p end metavar imply metavar var q end metavar land lnot metavar var p end metavar imply metavar var q end metavar end define
define proof of nontriv2 as lambda var c dot lambda var x dot proof expand quote pred calc infer all metavar var p end metavar indeed all metavar var q end metavar indeed lnot metavar var p end metavar imply metavar var q end metavar infer lnot metavar var p end metavar infer all metavar var p end metavar indeed all metavar var q end metavar indeed metavar var p end metavar infer nontriv1 modus ponens metavar var p end metavar modus ponens lnot metavar var p end metavar conclude metavar var q end metavar cut pcdeduction modus ponens all metavar var p end metavar indeed all metavar var q end metavar indeed metavar var p end metavar infer metavar var q end metavar conclude metavar var p end metavar imply metavar var q end metavar cut andintro modus ponens metavar var p end metavar imply metavar var q end metavar modus ponens lnot metavar var p end metavar imply metavar var q end metavar conclude metavar var p end metavar imply metavar var q end metavar land lnot metavar var p end metavar imply metavar var q end metavar end quote state proof state cache var c end expand end define
The pyk compiler, version 0.grue.20060417+ by Klaus Grue,