Logiweb aspects of prop three two d in pyk

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The predefined "pyk" aspect

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

The predefined "tex" aspect

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

The user defined "the statement aspect" aspect

define statement of prop three two d 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 equal metavar var c end metavar ) infer ( ( metavar var b end metavar equal metavar var c end metavar ) infer ( metavar var a end metavar equal metavar var b end metavar ) ) ) end define

The user defined "the proof aspect" aspect

define proof of prop three two d 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 ( ( metavar var a end metavar equal metavar var c end metavar ) infer ( ( metavar var b end metavar equal metavar var c end metavar ) infer ( ( ( prop three two b modus ponens ( metavar var b end metavar equal metavar var c end metavar ) ) conclude ( metavar var c end metavar equal metavar var b end metavar ) ) cut ( ( ( prop three two c modus ponens ( metavar var a end metavar equal metavar var c end metavar ) ) modus ponens ( metavar var c end metavar equal metavar var b end metavar ) ) conclude ( metavar var a end metavar equal metavar var b end metavar ) ) ) ) ) end quote state proof state cache var c end expand end define