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Step * of Lemma sum_bound

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

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Latex:

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


By

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Latex:
SumInd

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