Logiweb aspects of prop three five c in pyk

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The predefined "pyk" aspect

define pyk of prop three five c 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 c unicode end of text end unicode text end text end define

The predefined "tex" aspect

define tex of prop three five c 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 c unicode end of text end unicode text end text end define

The user defined "the statement aspect" aspect

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

The user defined "the proof aspect" aspect

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