Logiweb aspects of prop three five a in pyk

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The predefined "pyk" aspect

define pyk of prop three five a 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 f unicode small i unicode small v unicode small e unicode space unicode small a unicode end of text end unicode text end text end define

The predefined "tex" aspect

define tex of prop three five a 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 five unicode small a unicode end of text end unicode text end text end define

The user defined "the statement aspect" aspect

define statement of prop three five a as system s infer all metavar var a end metavar indeed metavar var a end metavar plus zero suc equal metavar var a end metavar suc end define

The user defined "the proof aspect" aspect

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