Logiweb aspects of lemma nonnegativeNumerical in pyk

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The predefined "pyk" aspect

define pyk of lemma nonnegativeNumerical 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 u unicode small m unicode small e unicode small r unicode small i unicode small c unicode small a unicode small l unicode end of text end unicode text end text end define

The predefined "tex" aspect

define tex of lemma nonnegativeNumerical 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 u unicode small m unicode small e unicode small r unicode small i unicode small c unicode small a unicode small l unicode end of text end unicode text end text end define

The user defined "the statement aspect" aspect

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

The user defined "the proof aspect" aspect

define proof of lemma nonnegativeNumerical 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 axiom numerical conclude not0 not0 0 <= metavar var x end metavar imply not0 | metavar var x end metavar | = metavar var x end metavar imply not0 not0 0 <= metavar var x end metavar imply not0 | metavar var x end metavar | = - metavar var x end metavar cut prop lemma add double neg modus ponens 0 <= metavar var x end metavar conclude not0 not0 0 <= metavar var x end metavar cut prop lemma to negated and(1) modus ponens not0 not0 0 <= metavar var x end metavar conclude not0 not0 not0 0 <= metavar var x end metavar imply not0 | metavar var x end metavar | = - metavar var x end metavar cut prop lemma negate second disjunct modus ponens not0 not0 0 <= metavar var x end metavar imply not0 | metavar var x end metavar | = metavar var x end metavar imply not0 not0 0 <= metavar var x end metavar imply not0 | metavar var x end metavar | = - metavar var x end metavar modus ponens not0 not0 not0 0 <= metavar var x end metavar imply not0 | metavar var x end metavar | = - metavar var x end metavar conclude not0 0 <= metavar var x end metavar imply not0 | metavar var x end metavar | = metavar var x end metavar cut prop lemma second conjunct modus ponens not0 0 <= metavar var x end metavar imply not0 | metavar var x end metavar | = metavar var x end metavar conclude | metavar var x end metavar | = metavar var x end metavar end quote state proof state cache var c end expand end define