Logiweb aspects of prop three two k in pyk

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The predefined "pyk" aspect

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

The predefined "tex" aspect

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

The user defined "the statement aspect" aspect

define statement of prop three two k as system s infer for all terms metavar var a end metavar comma metavar var b end metavar comma metavar var c end metavar indeed metavar var a end metavar equal metavar var b end metavar infer metavar var a end metavar times metavar var c end metavar equal metavar var b end metavar times metavar var c end metavar end define

The user defined "the proof aspect" aspect

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