define pyk of axiom s nine as text unicode start of text unicode small a unicode small x unicode small i unicode small o unicode small m unicode space unicode small s unicode space unicode small n unicode small i unicode small n unicode small e unicode end of text end unicode text end text end define
define tex of axiom s nine as text unicode start of text unicode newline unicode capital s unicode nine unicode end of text end unicode text end text end define
define statement of axiom s nine as system s infer all metavar var x end metavar indeed all metavar var a end metavar indeed all metavar var b end metavar indeed all metavar var c end metavar indeed ( sub zero quote metavar var b end metavar end quote is quote metavar var a end metavar end quote where quote metavar var x end metavar end quote is quote zero end quote end sub endorse ( sub zero quote metavar var c end metavar end quote is quote metavar var a end metavar end quote where quote metavar var x end metavar end quote is quote metavar var x end metavar suc end quote end sub endorse ( metavar var b end metavar infer ( ( metavar var a end metavar imply metavar var c end metavar ) infer metavar var a end metavar ) ) ) ) end define
define proof of axiom s nine as rule tactic end define
The pyk compiler, version 0.grue.20060417 by Klaus Grue,