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