Logiweb aspects of prop three two k one in pyk

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The predefined "pyk" aspect

define pyk of prop three two k 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 k 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 k 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 k 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 k one as system s infer all metavar var a end metavar indeed all metavar var b end metavar indeed metavar var a end metavar equal metavar var b end metavar infer metavar var a end metavar times zero equal metavar var b end metavar times zero end define

The user defined "the proof aspect" aspect

define proof of prop three two k one 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 axiom s seven conclude metavar var a end metavar times zero equal zero cut axiom s seven conclude metavar var b end metavar times zero equal zero cut prop three two a conclude zero equal zero cut prop three two b modus ponens metavar var b end metavar times zero equal zero conclude zero equal metavar var b end metavar times zero cut prop three two c conclude metavar var a end metavar times zero equal zero imply zero equal metavar var b end metavar times zero imply metavar var a end metavar times zero equal metavar var b end metavar times zero cut metavar var a end metavar times zero equal zero imply zero equal metavar var b end metavar times zero imply metavar var a end metavar times zero equal metavar var b end metavar times zero modus ponens metavar var a end metavar times zero equal zero modus ponens zero equal metavar var b end metavar times zero conclude metavar var a end metavar times zero equal metavar var b end metavar times zero end quote state proof state cache var c end expand end define