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Step * of Lemma sum-partial-nat

∀[n:ℕ]. ∀[f:ℕn ⟶ partial(ℕ)].  (Σ(f[x] | x < n) ∈ partial(ℕ))
BY
{ (InductionOnNat THEN Intro THEN (RWO "sum-unroll" 0 THENA Auto) THEN Reduce 0 THEN Auto) }

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Latex:

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Latex:
\mforall{}[n:\mBbbN{}].  \mforall{}[f:\mBbbN{}n  {}\mrightarrow{}  partial(\mBbbN{})].    (\mSigma{}(f[x]  |  x  <  n)  \mmember{}  partial(\mBbbN{}))


By

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Latex:
(InductionOnNat  THEN  Intro  THEN  (RWO  "sum-unroll"  0  THENA  Auto)  THEN  Reduce  0  THEN  Auto)

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