Logiweb aspects of lemma equality in pyk

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The predefined "pyk" aspect

define pyk of lemma equality 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 e unicode small q unicode small u unicode small a unicode small l unicode small i unicode small t unicode small y unicode end of text end unicode text end text end define

The predefined "tex" aspect

define tex of lemma equality as text unicode start of text unicode capital e unicode small q unicode small u unicode small a unicode small l unicode small i unicode small t unicode small y unicode end of text end unicode text end text end define

The user defined "the statement aspect" aspect

define statement of lemma equality as system Q infer all metavar var x end metavar indeed all metavar var y end metavar indeed all metavar var z end metavar indeed metavar var x end metavar = metavar var y end metavar infer metavar var x end metavar = metavar var z end metavar infer metavar var y end metavar = metavar var z end metavar end define

The user defined "the proof aspect" aspect

define proof of lemma equality as lambda var c dot lambda var x dot proof expand quote system Q infer all metavar var x end metavar indeed all metavar var y end metavar indeed all metavar var z end metavar indeed metavar var x end metavar = metavar var y end metavar infer metavar var x end metavar = metavar var z end metavar infer axiom equality conclude metavar var x end metavar = metavar var y end metavar imply metavar var x end metavar = metavar var z end metavar imply metavar var y end metavar = metavar var z end metavar cut prop lemma mp2 modus ponens metavar var x end metavar = metavar var y end metavar imply metavar var x end metavar = metavar var z end metavar imply metavar var y end metavar = metavar var z end metavar modus ponens metavar var x end metavar = metavar var y end metavar modus ponens metavar var x end metavar = metavar var z end metavar conclude metavar var y end metavar = metavar var z end metavar end quote state proof state cache var c end expand end define