Step
*
of Lemma
real-vec-norm-squared
∀[n:ℕ]. ∀[x:ℝ^n]. (||x||^2 = x ⋅ x)
BY
{ (Auto
THEN Unfold `real-vec` -1
THEN (RW (AddrC [1] (LemmaC `rnexp2`)) 0 THENA Auto)
THEN Unfold `real-vec-norm` 0
THEN BLemma `rsqrt_squared`
THEN Auto) }
Latex:
Latex:
\mforall{}[n:\mBbbN{}]. \mforall{}[x:\mBbbR{}\^{}n]. (||x||\^{}2 = x \mcdot{} x)
By
Latex:
(Auto
THEN Unfold `real-vec` -1
THEN (RW (AddrC [1] (LemmaC `rnexp2`)) 0 THENA Auto)
THEN Unfold `real-vec-norm` 0
THEN BLemma `rsqrt\_squared`
THEN Auto)
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