define pyk of double mp prime as text unicode start of text unicode small d unicode small o unicode small u unicode small b unicode small l unicode small e unicode space unicode small m unicode small p unicode space unicode small p unicode small r unicode small i unicode small m unicode small e unicode end of text end unicode text end text end define
define tex of double mp prime as text unicode start of text unicode capital d unicode small o unicode small u unicode small b unicode small l unicode small e unicode capital m unicode capital p unicode apostrophe unicode end of text end unicode text end text end define
define statement of double mp prime as system prime s infer all metavar var c end metavar indeed all metavar var d end metavar indeed all metavar var e end metavar indeed ( ( metavar var c end metavar peano imply ( metavar var d end metavar peano imply metavar var e end metavar ) ) infer ( metavar var c end metavar infer ( metavar var d end metavar infer metavar var e end metavar ) ) ) end define
define proof of double mp prime as lambda var c dot lambda var x dot proof expand quote system prime s infer all metavar var c end metavar indeed all metavar var d end metavar indeed all metavar var e end metavar indeed ( ( metavar var c end metavar peano imply ( metavar var d end metavar peano imply metavar var e end metavar ) ) infer ( metavar var c end metavar infer ( metavar var d end metavar infer ( ( ( ( rule prime mp modus ponens ( metavar var c end metavar peano imply ( metavar var d end metavar peano imply metavar var e end metavar ) ) ) modus ponens metavar var c end metavar ) conclude ( metavar var d end metavar peano imply metavar var e end metavar ) ) cut ( ( ( rule prime mp modus ponens ( metavar var d end metavar peano imply metavar var e end metavar ) ) modus ponens metavar var d end metavar ) conclude metavar var e end metavar ) ) ) ) ) end quote state proof state cache var c end expand end define
The pyk compiler, version 0.grue.20050603 by Klaus Grue,