Logiweb aspects of prop three two n two in pyk

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The predefined "pyk" aspect

define pyk of prop three two n two 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 n unicode space unicode small t unicode small w unicode small o unicode end of text end unicode text end text end define

The predefined "tex" aspect

define tex of prop three two n two 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 n unicode underscore unicode two unicode end of text end unicode text end text end define

The user defined "the statement aspect" aspect

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

The user defined "the proof aspect" aspect

define proof of prop three two n two 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 end line block any term macro indent metavar var a end metavar comma metavar var b end metavar end line macro indent metavar var a end metavar times metavar var b end metavar equal metavar var b end metavar times metavar var a end metavar infer axiom s eight conclude macro indent metavar var a end metavar times metavar var b end metavar suc equal metavar var a end metavar times metavar var b end metavar plus metavar var a end metavar cut prop three two e modus ponens macro indent metavar var a end metavar times metavar var b end metavar equal metavar var b end metavar times metavar var a end metavar conclude macro indent metavar var a end metavar times metavar var b end metavar plus metavar var a end metavar equal metavar var b end metavar times metavar var a end metavar plus metavar var a end metavar cut prop three two b modus ponens prop three two m conclude macro indent metavar var b end metavar times metavar var a end metavar plus metavar var a end metavar equal metavar var b end metavar suc times metavar var a end metavar cut prop three two c modus ponens ell e modus ponens macro indent metavar var b end metavar times metavar var a end metavar plus metavar var a end metavar equal metavar var b end metavar suc times metavar var a end metavar conclude macro indent metavar var a end metavar times metavar var b end metavar plus metavar var a end metavar equal metavar var b end metavar suc times metavar var a end metavar cut because prop three two c modus ponens macro indent metavar var a end metavar times metavar var b end metavar suc equal metavar var a end metavar times metavar var b end metavar plus metavar var a end metavar modus ponens macro indent metavar var a end metavar times metavar var b end metavar plus metavar var a end metavar equal metavar var b end metavar suc times metavar var a end metavar indeed macro indent metavar var a end metavar times metavar var b end metavar suc equal metavar var b end metavar suc times metavar var a end metavar end line line ell f end block deduction modus ponens ell f conclude metavar var a end metavar times metavar var b end metavar equal metavar var b end metavar times metavar var a end metavar imply metavar var a end metavar times metavar var b end metavar suc equal metavar var b end metavar suc times metavar var s end metavar end quote state proof state cache var c end expand end define