define pyk of axiom pair 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 p unicode small a unicode small i unicode small r 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 pair definition as text unicode start of text unicode capital p unicode small a unicode small i unicode small r unicode capital d unicode small e unicode small f unicode end of text end unicode text end text end define
define statement of axiom pair definition as system zf infer all metavar var s end metavar indeed all metavar var x end metavar indeed all metavar var y end metavar indeed not0 metavar var s end metavar zermelo in zermelo pair metavar var x end metavar comma metavar var y end metavar end pair imply not0 metavar var s end metavar zermelo is metavar var x end metavar imply metavar var s end metavar zermelo is metavar var y end metavar imply not0 not0 metavar var s end metavar zermelo is metavar var x end metavar imply metavar var s end metavar zermelo is metavar var y end metavar imply metavar var s end metavar zermelo in zermelo pair metavar var x end metavar comma metavar var y end metavar end pair end define
define proof of axiom pair definition as rule tactic end define
The pyk compiler, version 0.grue.20060417+ by Klaus Grue,