Logiweb aspects of cheating axiom all disjoint in pyk

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The predefined "pyk" aspect

define pyk of cheating axiom all disjoint as text unicode start of text unicode small c unicode small h unicode small e unicode small a unicode small t unicode small i unicode small n unicode small g unicode space unicode small a unicode small x unicode small i unicode small o unicode small m unicode space unicode small a unicode small l unicode small l unicode space unicode small d unicode small i unicode small s unicode small j unicode small o unicode small i unicode small n unicode small t unicode end of text end unicode text end text end define

The predefined "tex" aspect

define tex of cheating axiom all disjoint as text unicode start of text unicode capital c unicode small h unicode small e unicode small a unicode small t unicode capital a unicode small l unicode small l unicode capital d unicode small i unicode small s unicode small j unicode small o unicode small i unicode small n unicode small t unicode end of text end unicode text end text end define

The user defined "the statement aspect" aspect

define statement of cheating axiom all disjoint as system zf infer all metavar var r end metavar indeed all metavar var x end metavar indeed all metavar var y end metavar indeed all metavar var big set end metavar indeed not0 not0 for all objects object var var s end var indeed object var var s end var zermelo in metavar var big set end metavar imply zermelo pair zermelo pair object var var s end var comma object var var s end var end pair comma zermelo pair object var var s end var comma object var var s end var end pair end pair zermelo in metavar var r end metavar imply not0 for all objects object var var s end var indeed for all objects object var var t end var indeed object var var s end var zermelo in metavar var big set end metavar imply object var var t end var zermelo in metavar var big set end metavar imply zermelo pair zermelo pair object var var s end var comma object var var s end var end pair comma zermelo pair object var var s end var comma object var var t end var end pair end pair zermelo in metavar var r end metavar imply zermelo pair zermelo pair object var var t end var comma object var var t end var end pair comma zermelo pair object var var t end var comma object var var s end var end pair end pair zermelo in metavar var r end metavar imply not0 for all objects object var var s end var indeed for all objects object var var t end var indeed for all objects object var var u end var indeed object var var s end var zermelo in metavar var big set end metavar imply object var var t end var zermelo in metavar var big set end metavar imply object var var u end var zermelo in metavar var big set end metavar imply zermelo pair zermelo pair object var var s end var comma object var var s end var end pair comma zermelo pair object var var s end var comma object var var t end var end pair end pair zermelo in metavar var r end metavar imply zermelo pair zermelo pair object var var t end var comma object var var t end var end pair comma zermelo pair object var var t end var comma object var var u end var end pair end pair zermelo in metavar var r end metavar imply zermelo pair zermelo pair object var var s end var comma object var var s end var end pair comma zermelo pair object var var s end var comma object var var u end var end pair end pair zermelo in metavar var r end metavar infer metavar var x end metavar zermelo in the set of ph in power metavar var big set end metavar end power such that not0 existential var var t end var zermelo in metavar var big set end metavar imply not0 the set of ph in metavar var big set end metavar such that zermelo pair zermelo pair placeholder-var var a end var comma placeholder-var var a end var end pair comma zermelo pair placeholder-var var a end var comma existential var var t end var end pair end pair zermelo in metavar var r end metavar end set zermelo is placeholder-var var b end var end set infer metavar var y end metavar zermelo in the set of ph in power metavar var big set end metavar end power such that not0 existential var var t end var zermelo in metavar var big set end metavar imply not0 the set of ph in metavar var big set end metavar such that zermelo pair zermelo pair placeholder-var var a end var comma placeholder-var var a end var end pair comma zermelo pair placeholder-var var a end var comma existential var var t end var end pair end pair zermelo in metavar var r end metavar end set zermelo is placeholder-var var b end var end set infer not0 metavar var x end metavar zermelo is metavar var y end metavar infer the set of ph in union zermelo pair zermelo pair metavar var x end metavar comma metavar var x end metavar end pair comma zermelo pair metavar var y end metavar comma metavar var y end metavar end pair end pair end union such that not0 placeholder-var var c end var zermelo in metavar var x end metavar imply not0 placeholder-var var c end var zermelo in metavar var y end metavar end set zermelo is zermelo empty set end define

The user defined "the proof aspect" aspect

define proof of cheating axiom all disjoint as rule tactic end define