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Step * of Lemma rabs-rleq-iff

∀x,z:ℝ.  (|x| ≤ z ⇐⇒ (-(z) ≤ x) ∧ (x ≤ z))
BY
{ ((UnivCD THENA Auto)
   THEN (InstLemma `rabs-difference-bound-rleq` [⌜x⌝;⌜r0⌝;⌜z⌝]⋅ THENA Auto)
   THEN nRNorm (-1)
   THEN Auto) }

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Latex:

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Latex:
\mforall{}x,z:\mBbbR{}.    (|x|  \mleq{}  z  \mLeftarrow{}{}\mRightarrow{}  (-(z)  \mleq{}  x)  \mwedge{}  (x  \mleq{}  z))


By

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Latex:
((UnivCD  THENA  Auto)
  THEN  (InstLemma  `rabs-difference-bound-rleq`  [\mkleeneopen{}x\mkleeneclose{};\mkleeneopen{}r0\mkleeneclose{};\mkleeneopen{}z\mkleeneclose{}]\mcdot{}  THENA  Auto)
  THEN  nRNorm  (-1)
  THEN  Auto)

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