Logiweb aspects of axiom extensionality in pyk

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The predefined "pyk" aspect

define pyk of axiom extensionality 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 e unicode small x unicode small t unicode small e unicode small n unicode small s unicode small i unicode small o unicode small n unicode small a unicode small l unicode small i unicode small t unicode small y unicode end of text end unicode text end text end define

The predefined "tex" aspect

define tex of axiom extensionality as text unicode start of text unicode capital e unicode small x unicode small t unicode small e unicode small n unicode small s unicode small i unicode small o unicode small n unicode small a unicode small l unicode small i unicode small t unicode small y unicode end of text end unicode text end text end define

The user defined "the statement aspect" aspect

define statement of axiom extensionality as system zf infer all metavar var x end metavar indeed all metavar var y end metavar indeed not0 metavar var x end metavar zermelo is metavar var y end metavar imply for all objects object var var s end var indeed not0 object var var s end var zermelo in metavar var x end metavar imply object var var s end var zermelo in metavar var y end metavar imply not0 object var var s end var zermelo in metavar var y end metavar imply object var var s end var zermelo in metavar var x end metavar imply not0 for all objects object var var s end var indeed not0 object var var s end var zermelo in metavar var x end metavar imply object var var s end var zermelo in metavar var y end metavar imply not0 object var var s end var zermelo in metavar var y end metavar imply object var var s end var zermelo in metavar var x end metavar imply metavar var x end metavar zermelo is metavar var y end metavar end define

The user defined "the proof aspect" aspect

define proof of axiom extensionality as rule tactic end define