Logiweb aspects of lemma fromNot<< in pyk

Up Help

The predefined "pyk" aspect

define pyk of lemma fromNot<< 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 capital n unicode small o unicode small t unicode less than unicode less than unicode end of text end unicode text end text end define

The predefined "tex" aspect

define tex of lemma fromNot<< as text unicode start of text unicode capital f unicode small r unicode small o unicode small m unicode capital n unicode small o unicode small t unicode less than unicode less than unicode end of text end unicode text end text end define

The user defined "the statement aspect" aspect

define statement of lemma fromNot<< as system Q infer all metavar var fx end metavar indeed all metavar var fy end metavar indeed not0 not0 for all objects object var var ep end var indeed not0 not0 for all objects object var var n end var indeed not0 for all objects object var var m end var indeed not0 not0 0 <= object var var ep end var imply not0 not0 0 = object var var ep end var imply not0 object var var n end var <= object var var m end var imply [ metavar var fx end metavar ; object var var m end var ] <= [ metavar var fy end metavar ; object var var m end var ] + - object var var ep end var infer not0 not0 for all objects object var var ep end var indeed not0 not0 for all objects object var var n end var indeed not0 for all objects object var var m end var indeed not0 not0 0 <= object var var ep end var imply not0 not0 0 = object var var ep end var imply not0 object var var n end var <= object var var m end var imply [ metavar var fx end metavar ; object var var m end var ] <= [ metavar var fy end metavar ; object var var m end var ] + - object var var ep end var end define

The user defined "the proof aspect" aspect

define proof of lemma fromNot<< as lambda var c dot lambda var x dot proof expand quote system Q infer all metavar var fx end metavar indeed all metavar var fy end metavar indeed prop lemma auto imply conclude not0 for all objects object var var ep end var indeed not0 not0 for all objects object var var n end var indeed not0 for all objects object var var m end var indeed not0 not0 0 <= object var var ep end var imply not0 not0 0 = object var var ep end var imply not0 object var var n end var <= object var var m end var imply [ metavar var fx end metavar ; object var var m end var ] <= [ metavar var fy end metavar ; object var var m end var ] + - object var var ep end var imply not0 for all objects object var var ep end var indeed not0 not0 for all objects object var var n end var indeed not0 for all objects object var var m end var indeed not0 not0 0 <= object var var ep end var imply not0 not0 0 = object var var ep end var imply not0 object var var n end var <= object var var m end var imply [ metavar var fx end metavar ; object var var m end var ] <= [ metavar var fy end metavar ; object var var m end var ] + - object var var ep end var cut not0 not0 for all objects object var var ep end var indeed not0 not0 for all objects object var var n end var indeed not0 for all objects object var var m end var indeed not0 not0 0 <= object var var ep end var imply not0 not0 0 = object var var ep end var imply not0 object var var n end var <= object var var m end var imply [ metavar var fx end metavar ; object var var m end var ] <= [ metavar var fy end metavar ; object var var m end var ] + - object var var ep end var infer prop lemma mt modus ponens not0 for all objects object var var ep end var indeed not0 not0 for all objects object var var n end var indeed not0 for all objects object var var m end var indeed not0 not0 0 <= object var var ep end var imply not0 not0 0 = object var var ep end var imply not0 object var var n end var <= object var var m end var imply [ metavar var fx end metavar ; object var var m end var ] <= [ metavar var fy end metavar ; object var var m end var ] + - object var var ep end var imply not0 for all objects object var var ep end var indeed not0 not0 for all objects object var var n end var indeed not0 for all objects object var var m end var indeed not0 not0 0 <= object var var ep end var imply not0 not0 0 = object var var ep end var imply not0 object var var n end var <= object var var m end var imply [ metavar var fx end metavar ; object var var m end var ] <= [ metavar var fy end metavar ; object var var m end var ] + - object var var ep end var modus ponens not0 not0 for all objects object var var ep end var indeed not0 not0 for all objects object var var n end var indeed not0 for all objects object var var m end var indeed not0 not0 0 <= object var var ep end var imply not0 not0 0 = object var var ep end var imply not0 object var var n end var <= object var var m end var imply [ metavar var fx end metavar ; object var var m end var ] <= [ metavar var fy end metavar ; object var var m end var ] + - object var var ep end var conclude not0 not0 for all objects object var var ep end var indeed not0 not0 for all objects object var var n end var indeed not0 for all objects object var var m end var indeed not0 not0 0 <= object var var ep end var imply not0 not0 0 = object var var ep end var imply not0 object var var n end var <= object var var m end var imply [ metavar var fx end metavar ; object var var m end var ] <= [ metavar var fy end metavar ; object var var m end var ] + - object var var ep end var end quote state proof state cache var c end expand end define