Logiweb(TM)

Logiweb aspects of prop three two f in pyk

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The predefined "pyk" aspect

define pyk of prop three two f as text unicode start of text unicode small p unicode small r unicode small o unicode small p unicode space unicode small t unicode small h unicode small r unicode small e unicode small e unicode space unicode small t unicode small w unicode small o unicode space unicode small f unicode end of text end unicode text end text end define

The predefined "tex" aspect

define tex of prop three two f as text unicode start of text unicode newline unicode capital p unicode small r unicode small o unicode small p unicode backslash unicode space unicode three unicode period unicode two unicode small f unicode end of text end unicode text end text end define

The user defined "the statement aspect" aspect

define statement of prop three two f as system s infer all metavar var a end metavar indeed ( metavar var a end metavar equal ( zero plus metavar var a end metavar ) ) end define

The user defined "the proof aspect" aspect

define proof of prop three two f as lambda var c dot lambda var x dot proof expand quote system s infer all metavar var a end metavar indeed ( ( ( prop three two f one conclude ( zero equal ( zero plus zero ) ) ) cut ( ( prop three two f two conclude ( ( object var var x end var equal ( zero plus object var var x end var ) ) imply ( object var var x end var suc equal ( zero plus ( object var var x end var suc ) ) ) ) ) cut ( ( ( ( axiom s nine at object var var x end var ) modus ponens ( zero equal ( zero plus zero ) ) ) modus ponens ( ( object var var x end var equal ( zero plus object var var x end var ) ) imply ( object var var x end var suc equal ( zero plus ( object var var x end var suc ) ) ) ) ) conclude ( object var var x end var equal ( zero plus object var var x end var ) ) ) ) ) cut ( ( deduction modus ponens ( object var var x end var equal ( zero plus object var var x end var ) ) ) conclude ( metavar var a end metavar equal ( zero plus metavar var a end metavar ) ) ) ) end quote state proof state cache var c end expand end define

The pyk compiler, version 0.grue.20060417 by Klaus Grue,
GRD-2006-03-06.UTC:13:37:57.803308 = MJD-53800.TAI:13:38:30.803308 = LGT-4648369110803308e-6