Logiweb aspects of prop three two h in pyk

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The predefined "pyk" aspect

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

The predefined "tex" aspect

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

The user defined "the statement aspect" aspect

define statement of prop three two h 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 ( metavar var b end metavar plus metavar var a end metavar ) ) end define

The user defined "the proof aspect" aspect

define proof of prop three two h 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 two h one conclude ( ( object var var x end var plus zero ) equal ( zero plus object var var x end var ) ) ) cut ( ( prop three two h two conclude ( ( ( object var var x end var plus object var var y end var ) equal ( object var var y end var plus object var var x end var ) ) imply ( ( object var var x end var plus ( object var var y end var suc ) ) equal ( object var var y end var suc plus object var var x end var ) ) ) ) cut ( ( ( ( axiom s nine at object var var y end var ) modus ponens ( ( object var var x end var plus zero ) equal ( zero plus object var var x end var ) ) ) modus ponens ( ( ( object var var x end var plus object var var y end var ) equal ( object var var y end var plus object var var x end var ) ) imply ( ( object var var x end var plus ( object var var y end var suc ) ) equal ( object var var y end var suc plus object var var x end var ) ) ) ) conclude ( ( object var var x end var plus object var var y end var ) equal ( object var var y end var plus object var var x end var ) ) ) ) ) cut ( ( deduction modus ponens ( ( object var var x end var plus object var var y end var ) equal ( object var var y end var plus object var var x end var ) ) ) conclude ( ( metavar var a end metavar plus metavar var b end metavar ) equal ( metavar var b end metavar plus metavar var a end metavar ) ) ) ) end quote state proof state cache var c end expand end define