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Step * of Lemma sum_lower_bound

∀[k,b:ℕ]. ∀[f:ℕk ⟶ ℤ].  (b * k) ≤ Σ(f[x] | x < k) supposing ∀x:ℕk. (b ≤ f[x])
BY
{ SumInd }

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Latex:

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Latex:
\mforall{}[k,b:\mBbbN{}].  \mforall{}[f:\mBbbN{}k  {}\mrightarrow{}  \mBbbZ{}].    (b  *  k)  \mleq{}  \mSigma{}(f[x]  |  x  <  k)  supposing  \mforall{}x:\mBbbN{}k.  (b  \mleq{}  f[x])


By

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Latex:
SumInd

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