Logiweb aspects of prop three five f in pyk

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The predefined "pyk" aspect

define pyk of prop three five 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 f unicode small i unicode small v unicode small e 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 five 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 five 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 five f as system s infer all metavar var a end metavar indeed all metavar var b end metavar indeed metavar var a end metavar plus metavar var b end metavar equal zero suc imply not not metavar var a end metavar equal zero imply not metavar var b end metavar equal zero suc imply not metavar var a end metavar equal zero suc imply not metavar var b end metavar equal zero end define

The user defined "the proof aspect" aspect

define proof of prop three five f 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 prop three five f one conclude object var var x end var plus zero equal zero suc imply not not object var var x end var equal zero imply not zero equal zero suc imply not object var var x end var equal zero suc imply not zero equal zero cut prop three five f two conclude object var var x end var plus object var var y end var equal zero suc imply not not object var var x end var equal zero imply not object var var y end var equal zero suc imply not object var var x end var equal zero suc imply not object var var y end var equal zero imply object var var x end var plus object var var y end var suc equal zero suc imply not not object var var x end var equal zero imply not object var var y end var suc equal zero suc imply not object var var x end var equal zero suc imply not object var var y end var suc equal zero cut axiom s nine at object var var y end var modus ponens object var var x end var plus zero equal zero suc imply not not object var var x end var equal zero imply not zero equal zero suc imply not object var var x end var equal zero suc imply not zero equal zero modus ponens object var var x end var plus object var var y end var equal zero suc imply not not object var var x end var equal zero imply not object var var y end var equal zero suc imply not object var var x end var equal zero suc imply not object var var y end var equal zero imply object var var x end var plus object var var y end var suc equal zero suc imply not not object var var x end var equal zero imply not object var var y end var suc equal zero suc imply not object var var x end var equal zero suc imply not object var var y end var suc equal zero conclude object var var x end var plus object var var y end var equal zero suc imply not not object var var x end var equal zero imply not object var var y end var equal zero suc imply not object var var x end var equal zero suc imply not object var var y end var equal zero cut deduction modus ponens object var var x end var plus object var var y end var equal zero suc imply not not object var var x end var equal zero imply not object var var y end var equal zero suc imply not object var var x end var equal zero suc imply not object var var y end var equal zero conclude metavar var a end metavar plus metavar var b end metavar equal zero suc imply not not metavar var a end metavar equal zero imply not metavar var b end metavar equal zero suc imply not metavar var a end metavar equal zero suc imply not metavar var b end metavar equal zero end quote state proof state cache var c end expand end define