Logiweb aspects of lemma nonnegativeNegated in pyk

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The predefined "pyk" aspect

define pyk of lemma nonnegativeNegated 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 o unicode small n unicode small n unicode small e unicode small g unicode small a unicode small t unicode small i unicode small v unicode small e unicode capital n unicode small e unicode small g unicode small a unicode small t unicode small e unicode small d unicode end of text end unicode text end text end define

The predefined "tex" aspect

define tex of lemma nonnegativeNegated as text unicode start of text unicode capital n unicode small o unicode small n unicode small n unicode small e unicode small g unicode small a unicode small t unicode small i unicode small v unicode small e unicode capital n unicode small e unicode small g unicode small a unicode small t unicode small e unicode small d unicode end of text end unicode text end text end define

The user defined "the statement aspect" aspect

define statement of lemma nonnegativeNegated as system Q infer all metavar var x end metavar indeed 0 <= metavar var x end metavar infer - metavar var x end metavar <= 0 end define

The user defined "the proof aspect" aspect

define proof of lemma nonnegativeNegated as lambda var c dot lambda var x dot proof expand quote system Q infer all metavar var x end metavar indeed 0 <= metavar var x end metavar infer lemma leqNegated modus ponens 0 <= metavar var x end metavar conclude - metavar var x end metavar <= - 0 cut lemma -0=0 conclude - 0 = 0 cut lemma subLeqRight modus ponens - 0 = 0 modus ponens - metavar var x end metavar <= - 0 conclude - metavar var x end metavar <= 0 end quote state proof state cache var c end expand end define