---

Step * of Lemma real-vec-norm-dim1

∀[x:ℝ^1]. (||x|| = |x 0|)
BY
{ (Auto
   THEN (RWO "square-req-iff" 0 THEN Auto)
   THEN RWO "real-vec-norm-squared rabs-rnexp2" 0
   THEN Auto
   THEN (RWO  "rnexp2" 0 THENA Auto)
   THEN RepUR ``dot-product`` 0
   THEN Auto) }

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Latex:

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Latex:
\mforall{}[x:\mBbbR{}\^{}1].  (||x||  =  |x  0|)


By

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Latex:
(Auto
  THEN  (RWO  "square-req-iff"  0  THEN  Auto)
  THEN  RWO  "real-vec-norm-squared  rabs-rnexp2"  0
  THEN  Auto
  THEN  (RWO    "rnexp2"  0  THENA  Auto)
  THEN  RepUR  ``dot-product``  0
  THEN  Auto)

---

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