Logiweb(TM)

Logiweb aspects of axiom seriesType in pyk

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The predefined "pyk" aspect

define pyk of axiom seriesType as text unicode start of text unicode small a unicode small x unicode small i unicode small o unicode small m unicode space unicode small s unicode small e unicode small r unicode small i unicode small e unicode small s unicode capital t unicode small y unicode small p unicode small e unicode end of text end unicode text end text end define

The predefined "tex" aspect

define tex of axiom seriesType as text unicode start of text unicode capital s unicode small e unicode small r unicode small i unicode small e unicode small s unicode capital t unicode small y unicode small p unicode small e unicode end of text end unicode text end text end define

The user defined "the statement aspect" aspect

define statement of axiom seriesType as system Q infer all metavar var fx end metavar indeed all metavar var sy end metavar indeed lambda var c dot typeSeries0( quote metavar var fx end metavar end quote , quote metavar var sy end metavar end quote ) endorse not0 not0 for all objects object var var r1 end var indeed object var var r1 end var in0 metavar var fx end metavar imply not0 for all objects object var var op1 end var indeed not0 not0 for all objects object var var op2 end var indeed not0 not0 not0 object var var op1 end var in0 N imply not0 object var var op2 end var in0 metavar var sy end metavar imply not0 object var var r1 end var = zermelo pair zermelo pair object var var op1 end var comma object var var op1 end var end pair comma zermelo pair object var var op1 end var comma object var var op2 end var end pair end pair imply not0 for all objects object var var f1 end var indeed for all objects object var var f2 end var indeed for all objects object var var f3 end var indeed for all objects object var var f4 end var indeed zermelo pair zermelo pair object var var f1 end var comma object var var f1 end var end pair comma zermelo pair object var var f1 end var comma object var var f2 end var end pair end pair in0 metavar var fx end metavar imply zermelo pair zermelo pair object var var f3 end var comma object var var f3 end var end pair comma zermelo pair object var var f3 end var comma object var var f4 end var end pair end pair in0 metavar var fx end metavar imply object var var f1 end var = object var var f3 end var imply object var var f2 end var = object var var f4 end var imply not0 for all objects object var var s1 end var indeed object var var s1 end var in0 N imply not0 for all objects object var var s2 end var indeed not0 zermelo pair zermelo pair object var var s1 end var comma object var var s1 end var end pair comma zermelo pair object var var s1 end var comma object var var s2 end var end pair end pair in0 metavar var fx end metavar end define

The user defined "the proof aspect" aspect

define proof of axiom seriesType as rule tactic end define

The pyk compiler, version 0.grue.20060417+ by Klaus Grue,
GRD-2006-12-15.UTC:00:32:42.052453 = MJD-54084.TAI:00:33:15.052453 = LGT-4672859595052453e-6