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Step * of Lemma real-vec-mul-linear

∀[n:ℕ]. ∀[X,Y:ℝ^n]. ∀[a:ℝ].  req-vec(n;a*X + Y;a*X + a*Y)
BY
{ (Auto THEN RepUR ``req-vec real-vec-mul real-vec-add`` 0 THEN Auto) }

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Latex:

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Latex:
\mforall{}[n:\mBbbN{}].  \mforall{}[X,Y:\mBbbR{}\^{}n].  \mforall{}[a:\mBbbR{}].    req-vec(n;a*X  +  Y;a*X  +  a*Y)


By

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Latex:
(Auto  THEN  RepUR  ``req-vec  real-vec-mul  real-vec-add``  0  THEN  Auto)

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