Logiweb aspects of prop three four c in pyk

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The predefined "pyk" aspect

define pyk of prop three four c 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 f unicode small o unicode small u unicode small r unicode space unicode small c unicode end of text end unicode text end text end define

The predefined "tex" aspect

define tex of prop three four c 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 four unicode small c unicode end of text end unicode text end text end define

The user defined "the statement aspect" aspect

define statement of prop three four c as system s infer all metavar var a end metavar indeed all metavar var b end metavar indeed all metavar var c end metavar indeed metavar var a end metavar times metavar var b end metavar times metavar var c end metavar equal metavar var a end metavar times 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 four c as lambda var c dot lambda var x dot proof expand quote system s infer all metavar var a end metavar indeed all metavar var b end metavar indeed all metavar var c end metavar indeed prop three four c one conclude object var var x end var times object var var y end var times zero equal object var var x end var times object var var y end var times zero cut prop three four c two conclude object var var x end var times object var var y end var times object var var z end var equal object var var x end var times object var var y end var times object var var z end var imply object var var x end var times object var var y end var times object var var z end var suc equal object var var x end var times object var var y end var times object var var z end var suc cut axiom s nine at object var var z end var modus ponens object var var x end var times object var var y end var times zero equal object var var x end var times object var var y end var times zero modus ponens object var var x end var times object var var y end var times object var var z end var equal object var var x end var times object var var y end var times object var var z end var imply object var var x end var times object var var y end var times object var var z end var suc equal object var var x end var times object var var y end var times object var var z end var suc conclude object var var x end var times object var var y end var times object var var z end var equal object var var x end var times object var var y end var times object var var z end var cut deduction modus ponens object var var x end var times object var var y end var times object var var z end var equal object var var x end var times object var var y end var times object var var z end var conclude metavar var a end metavar times metavar var b end metavar times metavar var c end metavar equal metavar var a end metavar times metavar var b end metavar times metavar var c end metavar end quote state proof state cache var c end expand end define