Logiweb aspects of prop three two l in pyk

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The predefined "pyk" aspect

define pyk of prop three two l 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 l unicode end of text end unicode text end text end define

The predefined "tex" aspect

define tex of prop three two l 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 l unicode end of text end unicode text end text end define

The user defined "the statement aspect" aspect

define statement of prop three two l as system s infer for all terms metavar var a end metavar indeed zero times metavar var a end metavar equal zero end define

The user defined "the proof aspect" aspect

define proof of prop three two l as lambda var c dot lambda var x dot proof expand quote system s infer any term metavar var a end metavar end line block prop three two l one conclude macro indent zero times zero equal zero cut prop three two l two conclude macro indent zero times object var var x end var equal zero imply zero times object var var x end var suc equal zero cut because axiom s nine at object var var x end var modus ponens macro indent zero times zero equal zero modus ponens macro indent zero times object var var x end var equal zero imply zero times object var var x end var suc equal zero indeed macro indent zero times object var var x end var equal zero end line line ell c end block deduction modus ponens ell c conclude zero times metavar var a end metavar equal zero end quote state proof state cache var c end expand end define