Logiweb aspects of lemma from leqGeq in pyk

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The predefined "pyk" aspect

define pyk of lemma from leqGeq 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 f unicode small r unicode small o unicode small m unicode space unicode small l unicode small e unicode small q unicode capital g unicode small e unicode small q unicode end of text end unicode text end text end define

The predefined "tex" aspect

define tex of lemma from leqGeq as text unicode start of text unicode capital f unicode small r unicode small o unicode small m unicode capital l unicode small e unicode small q unicode capital g unicode small e unicode small q unicode end of text end unicode text end text end define

The user defined "the statement aspect" aspect

define statement of lemma from leqGeq as system Q infer all metavar var a end metavar indeed all metavar var x end metavar indeed all metavar var y end metavar indeed metavar var x end metavar <= metavar var y end metavar imply metavar var a end metavar infer metavar var y end metavar <= metavar var x end metavar imply metavar var a end metavar infer metavar var a end metavar end define

The user defined "the proof aspect" aspect

define proof of lemma from leqGeq as lambda var c dot lambda var x dot proof expand quote system Q infer all metavar var a end metavar indeed all metavar var x end metavar indeed all metavar var y end metavar indeed metavar var x end metavar <= metavar var y end metavar imply metavar var a end metavar infer metavar var y end metavar <= metavar var x end metavar imply metavar var a end metavar infer axiom leqTotality conclude not0 metavar var x end metavar <= metavar var y end metavar imply metavar var y end metavar <= metavar var x end metavar cut prop lemma from disjuncts modus ponens not0 metavar var x end metavar <= metavar var y end metavar imply metavar var y end metavar <= metavar var x end metavar modus ponens metavar var x end metavar <= metavar var y end metavar imply metavar var a end metavar modus ponens metavar var y end metavar <= metavar var x end metavar imply metavar var a end metavar conclude metavar var a end metavar end quote state proof state cache var c end expand end define