Logiweb aspects of prop three two l two in pyk

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The predefined "pyk" aspect

define pyk of prop three two l 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 l 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 l 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 l 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 l two as system s infer all metavar var a end metavar indeed zero times metavar var a end metavar equal zero imply zero times metavar var a end metavar suc equal zero end define

The user defined "the proof aspect" aspect

define proof of prop three two l two 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 a end metavar indeed zero times metavar var a end metavar equal zero infer axiom s eight conclude zero times metavar var a end metavar suc equal zero times metavar var a end metavar plus zero cut axiom s five conclude zero times metavar var a end metavar plus zero equal zero times metavar var a end metavar cut prop three two c modus ponens zero times metavar var a end metavar plus zero equal zero times metavar var a end metavar modus ponens zero times metavar var a end metavar suc equal zero times metavar var a end metavar plus zero conclude zero times metavar var a end metavar suc equal zero times metavar var a end metavar cut prop three two c modus ponens zero times metavar var a end metavar suc equal zero times metavar var a end metavar modus ponens zero times metavar var a end metavar equal zero conclude zero times metavar var a end metavar suc equal zero cut deduction modus ponens all metavar var a end metavar indeed zero times metavar var a end metavar equal zero infer zero times metavar var a end metavar suc equal zero conclude zero times metavar var a end metavar equal zero imply zero times metavar var a end metavar suc equal zero end quote state proof state cache var c end expand end define