define pyk of h four as text unicode start of text unicode small h unicode space unicode small f unicode small o unicode small u unicode small r unicode end of text end unicode text end text end define
define tex of h four as text unicode start of text unicode newline unicode capital p unicode small r unicode small o unicode small p unicode space unicode three unicode period unicode two unicode small c unicode apostrophe unicode end of text end unicode text end text end define
define statement of h four 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 b end metavar equal metavar var c end metavar imply metavar var a end metavar equal metavar var c end metavar end define
define proof of h four 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 b end metavar equal metavar var c end metavar infer prop three two c modus ponens metavar var a end metavar equal metavar var b end metavar modus ponens metavar var b end metavar equal metavar var c end metavar conclude metavar var a 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 b end metavar equal metavar var c end metavar infer metavar var a end metavar equal metavar var c end metavar conclude metavar var b end metavar equal metavar var c end metavar imply metavar var a 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 b end metavar equal metavar var c end metavar imply metavar var a end metavar equal metavar var c end metavar conclude metavar var a end metavar equal metavar var b end metavar imply metavar var b end metavar equal metavar var c end metavar imply metavar var a 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,