Logiweb aspects of lemma a five in pyk

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The predefined "pyk" aspect

define pyk of lemma a five as text unicode start of text unicode small l unicode small e unicode small m unicode small m unicode small a unicode space unicode small a unicode space unicode small f unicode small i unicode small v unicode small e unicode end of text end unicode text end text end define

The predefined "tex" aspect

define tex of lemma a five as text unicode start of text unicode newline unicode capital a unicode five unicode apostrophe unicode end of text end unicode text end text end define

The user defined "the statement aspect" aspect

define statement of lemma a five as system s infer ( ( for all objects object var var x end var indeed ( ( ( two plus three ) equal five ) imply ( ( ( two plus three ) plus object var var x end var ) equal ( five plus object var var x end var ) ) ) ) imply ( ( ( two plus three ) equal five ) imply for all objects object var var x end var indeed ( ( ( two plus three ) plus object var var x end var ) equal ( five plus object var var x end var ) ) ) ) end define

The user defined "the proof aspect" aspect

define proof of lemma a five as lambda var c dot lambda var x dot proof expand quote system s infer ( ( ( ( ( two plus three ) equal five ) imply ( ( ( two plus three ) plus object var var x end var ) equal ( five plus object var var x end var ) ) ) infer ( ( ( two plus three ) equal five ) infer ( ( ( ( rule mp modus ponens ( ( ( two plus three ) equal five ) imply ( ( ( two plus three ) plus object var var x end var ) equal ( five plus object var var x end var ) ) ) ) modus ponens ( ( two plus three ) equal five ) ) conclude ( ( ( two plus three ) plus object var var x end var ) equal ( five plus object var var x end var ) ) ) cut ( ( rule gen modus ponens ( ( ( two plus three ) plus object var var x end var ) equal ( five plus object var var x end var ) ) ) conclude for all objects object var var x end var indeed ( ( ( two plus three ) plus object var var x end var ) equal ( five plus object var var x end var ) ) ) ) ) ) cut ( ( deduction modus ponens ( ( ( ( two plus three ) equal five ) imply ( ( ( two plus three ) plus object var var x end var ) equal ( five plus object var var x end var ) ) ) infer ( ( ( two plus three ) equal five ) infer for all objects object var var x end var indeed ( ( ( two plus three ) plus object var var x end var ) equal ( five plus object var var x end var ) ) ) ) ) conclude ( ( for all objects object var var x end var indeed ( ( ( two plus three ) equal five ) imply ( ( ( two plus three ) plus object var var x end var ) equal ( five plus object var var x end var ) ) ) ) imply ( ( ( two plus three ) equal five ) imply for all objects object var var x end var indeed ( ( ( two plus three ) plus object var var x end var ) equal ( five plus object var var x end var ) ) ) ) ) ) end quote state proof state cache var c end expand end define