define pyk of h four mark as text unicode start of text unicode small h unicode space unicode small f unicode small o unicode small u unicode small r unicode space unicode small m unicode small a unicode small r unicode small k unicode end of text end unicode text end text end define
define tex of h four mark as text unicode start of text unicode newline unicode capital s unicode one unicode apostrophe unicode apostrophe unicode end of text end unicode text end text end define
define statement of h four mark as system s infer all metavar var a end metavar indeed all metavar var b end metavar indeed all metavar var c end metavar indeed metavar var a end metavar equal metavar var b end metavar imply metavar var a end metavar equal metavar var c end metavar imply metavar var b end metavar equal metavar var c end metavar end define
define proof of h four mark 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 all metavar var c end metavar indeed all metavar var a end metavar indeed all metavar var b end metavar indeed all metavar var c end metavar indeed metavar var a end metavar equal metavar var b end metavar infer all metavar var a end metavar indeed all metavar var b end metavar indeed all metavar var c end metavar indeed metavar var a end metavar equal metavar var c end metavar infer axiom s one modus ponens metavar var a end metavar equal metavar var b end metavar modus ponens metavar var a end metavar equal metavar var c end metavar conclude metavar var b end metavar equal metavar var c end metavar cut deduction modus ponens all metavar var a end metavar indeed all metavar var b end metavar indeed all metavar var c end metavar indeed metavar var a end metavar equal metavar var c end metavar infer metavar var b end metavar equal metavar var c end metavar conclude metavar var a end metavar equal metavar var c end metavar imply metavar var b end metavar equal metavar var c end metavar cut deduction modus ponens all metavar var a end metavar indeed all metavar var b end metavar indeed all metavar var c end metavar indeed metavar var a end metavar equal metavar var b end metavar infer metavar var a end metavar equal metavar var c end metavar imply metavar var b end metavar equal metavar var c end metavar conclude metavar var a end metavar equal metavar var b end metavar imply metavar var a end metavar equal metavar var c end metavar imply metavar var b end metavar equal metavar var c end metavar end quote state proof state cache var c end expand end define
The pyk compiler, version 0.grue.20060417+ by Klaus Grue,