Logiweb aspects of lemma neqSymmetry in pyk

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The predefined "pyk" aspect

define pyk of lemma neqSymmetry 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 n unicode small e unicode small q unicode capital s unicode small y unicode small m unicode small m unicode small e unicode small t unicode small r unicode small y unicode end of text end unicode text end text end define

The predefined "tex" aspect

define tex of lemma neqSymmetry as text unicode start of text unicode capital n unicode small e unicode small q unicode capital s unicode small y unicode small m unicode small m unicode small e unicode small t unicode small r 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 neqSymmetry as system Q infer all metavar var x end metavar indeed all metavar var y end metavar indeed not0 metavar var x end metavar = metavar var y end metavar infer not0 metavar var y end metavar = metavar var x end metavar end define

The user defined "the proof aspect" aspect

define proof of lemma neqSymmetry 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 metavar var y end metavar = metavar var x end metavar infer lemma eqSymmetry modus ponens metavar var y end metavar = metavar var x end metavar conclude metavar var x end metavar = metavar var y end metavar cut all metavar var x end metavar indeed all metavar var y end metavar indeed 1rule deduction modus ponens all metavar var x end metavar indeed all metavar var y end metavar indeed metavar var y end metavar = metavar var x end metavar infer metavar var x end metavar = metavar var y end metavar conclude metavar var y end metavar = metavar var x end metavar imply metavar var x end metavar = metavar var y end metavar cut not0 metavar var x end metavar = metavar var y end metavar infer prop lemma mt modus ponens metavar var y end metavar = metavar var x end metavar imply metavar var x end metavar = metavar var y end metavar modus ponens not0 metavar var x end metavar = metavar var y end metavar conclude not0 metavar var y end metavar = metavar var x end metavar end quote state proof state cache var c end expand end define