Logiweb aspects of prop three two h one in pyk

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The predefined "pyk" aspect

define pyk of prop three two h one 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 space unicode small o unicode small n unicode small e unicode end of text end unicode text end text end define

The predefined "tex" aspect

define tex of prop three two h one 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 underscore unicode one 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 one as system s infer all metavar var a end metavar indeed ( ( metavar var a end metavar plus zero ) equal ( zero plus metavar var a end metavar ) ) end define

The user defined "the proof aspect" aspect

define proof of prop three two h one as lambda var c dot lambda var x dot proof expand quote system s infer all metavar var a end metavar indeed ( ( axiom s five conclude ( ( metavar var a end metavar plus zero ) equal metavar var a end metavar ) ) cut ( ( prop three two f conclude ( metavar var a end metavar equal ( zero plus metavar var a end metavar ) ) ) cut ( ( ( prop three two c modus ponens ( ( metavar var a end metavar plus zero ) equal metavar var a end metavar ) ) modus ponens ( metavar var a end metavar equal ( zero plus metavar var a end metavar ) ) ) conclude ( ( metavar var a end metavar plus zero ) equal ( zero plus metavar var a end metavar ) ) ) ) ) end quote state proof state cache var c end expand end define