Logiweb aspects of prop three two m one in pyk

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The predefined "pyk" aspect

define pyk of prop three two m 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 m 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 m 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 m 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 m one as system s infer all metavar var a end metavar indeed metavar var a end metavar suc times zero equal metavar var t end metavar times zero plus zero end define

The user defined "the proof aspect" aspect

define proof of prop three two m 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 seven conclude metavar var a end metavar suc times zero equal zero cut prop three two f conclude zero equal zero plus zero cut axiom s seven conclude zero equal metavar var a end metavar times zero cut prop three two e conclude zero equal metavar var a end metavar times zero imply zero plus zero equal metavar var a end metavar times zero plus zero cut zero equal metavar var a end metavar times zero imply zero plus zero equal metavar var a end metavar times zero plus zero modus ponens zero equal metavar var a end metavar times zero conclude zero plus zero equal metavar var a end metavar times zero plus zero cut prop three two c conclude zero equal zero plus zero imply zero plus zero equal metavar var a end metavar times zero plus zero imply zero equal metavar var a end metavar times zero plus zero cut zero equal zero plus zero imply zero plus zero equal metavar var a end metavar times zero plus zero imply zero equal metavar var a end metavar times zero plus zero modus ponens zero equal zero plus zero modus ponens zero plus zero equal metavar var a end metavar times zero plus zero conclude zero equal metavar var a end metavar times zero plus zero cut prop three two c conclude metavar var a end metavar suc times zero equal zero imply zero equal metavar var a end metavar times zero plus zero imply metavar var a end metavar suc times zero equal metavar var a end metavar times zero plus zero cut metavar var a end metavar suc times zero equal zero imply zero equal metavar var a end metavar times zero plus zero imply metavar var a end metavar suc times zero equal metavar var a end metavar times zero plus zero modus ponens metavar var a end metavar suc times zero equal zero modus ponens metavar var a end metavar suc times zero equal zero imply zero equal metavar var a end metavar times zero plus zero imply metavar var a end metavar suc times zero equal metavar var a end metavar times zero plus zero conclude metavar var a end metavar suc times zero equal metavar var a end metavar times zero plus zero end quote state proof state cache var c end expand end define