define pyk of axiom separation 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 s unicode small e unicode small p unicode small a unicode small r unicode small a unicode small t 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 separation definition as text unicode start of text unicode capital s unicode small e unicode small p unicode small a unicode small r unicode small a unicode small t 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 separation definition as system zf infer all metavar var a end metavar indeed all metavar var b end metavar indeed all metavar var p end metavar indeed all metavar var x end metavar indeed all metavar var z end metavar indeed metavar var p end metavar is placeholder-var and ph-sub0 quote metavar var b end metavar end quote is quote metavar var a end metavar end quote where quote metavar var p end metavar end quote is quote metavar var z end metavar end quote end sub endorse not0 metavar var z end metavar zermelo in the set of ph in metavar var x end metavar such that metavar var a end metavar end set imply not0 metavar var z end metavar zermelo in metavar var x end metavar imply not0 metavar var b end metavar imply not0 not0 metavar var z end metavar zermelo in metavar var x end metavar imply not0 metavar var b end metavar imply metavar var z end metavar zermelo in the set of ph in metavar var x end metavar such that metavar var a end metavar end set end define
define proof of axiom separation definition as rule tactic end define
The pyk compiler, version 0.grue.20060417+ by Klaus Grue,