define statement of axiom prime s nine as system prime 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 x end metavar indeed ( peano sub metavar var b end metavar is metavar var a end metavar where metavar var x end metavar is peano zero end sub endorse ( peano sub metavar var c end metavar is metavar var a end metavar where metavar var x end metavar is metavar var x end metavar peano succ end sub endorse ( metavar var b end metavar peano imply ( ( peano all metavar var x end metavar indeed ( metavar var a end metavar peano imply metavar var c end metavar ) ) peano imply peano all metavar var x end metavar indeed metavar var a end metavar ) ) ) ) end define
define proof of axiom prime s nine as rule tactic end define
The pyk compiler, version 0.grue.20050603 by Klaus Grue,