Nuprl Lemma : converges-to-cauchy-limit

x:ℕ ⟶ ℝ. ∀c:cauchy(n.x[n]).  lim n→∞.x[n] cauchy-limit(n.x[n];c)


Proof

Error : references

Latex:
\mforall{}x:\mBbbN{}  {}\mrightarrow{}  \mBbbR{}.  \mforall{}c:cauchy(n.x[n]).    lim  n\mrightarrow{}\minfty{}.x[n]  =  cauchy-limit(n.x[n];c)



Date html generated: 2020_05_21-AM-10_26_57
Last ObjectModification: 2019_12_16-PM-07_29_15

Theory : reals


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