define pyk of axiom union definition 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 u unicode small n unicode small i unicode small o unicode small n unicode space unicode small d unicode small e unicode small f unicode small i unicode small n unicode small i 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 union definition as text unicode start of text unicode capital u unicode small n unicode small i unicode small o unicode small n unicode capital d unicode small e unicode small f unicode end of text end unicode text end text end define
define statement of axiom union definition as system Q infer all metavar var s end metavar indeed all metavar var x end metavar indeed not0 metavar var s end metavar in0 union metavar var x end metavar end union imply not0 metavar var s end metavar in0 existential var var j end var imply not0 existential var var j end var in0 metavar var x end metavar imply not0 not0 metavar var s end metavar in0 existential var var j end var imply not0 existential var var j end var in0 metavar var x end metavar imply metavar var s end metavar in0 union metavar var x end metavar end union end define
define proof of axiom union definition as rule tactic end define
The pyk compiler, version 0.grue.20060417+ by Klaus Grue,