define pyk of axiom induction 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 i unicode small n unicode small d unicode small u unicode small c unicode small t unicode small i unicode small o unicode small n unicode end of text end unicode text end text end define
define tex of axiom induction as text unicode start of text unicode capital i unicode small n unicode small d unicode small u unicode small c unicode small t unicode small i unicode small o unicode small n unicode capital a unicode small x unicode small i unicode small o unicode small m unicode end of text end unicode text end text end define
define statement of axiom induction as system Q infer all metavar var v1 end metavar indeed all metavar var a end metavar indeed all metavar var b end metavar indeed all metavar var c end metavar indeed meta-sub metavar var b end metavar is metavar var a end metavar where metavar var v1 end metavar is 0 end sub endorse meta-sub metavar var c end metavar is metavar var a end metavar where metavar var v1 end metavar is metavar var v1 end metavar + 1 end sub endorse metavar var b end metavar imply for all objects metavar var v1 end metavar indeed metavar var a end metavar imply metavar var c end metavar imply for all objects metavar var v1 end metavar indeed metavar var a end metavar end define
define proof of axiom induction as rule tactic end define
The pyk compiler, version 0.grue.20060417+ by Klaus Grue,