Nuprl Lemma : series-sum-0
Σi.r0 = r0
Proof
Definitions occuring in Statement :
series-sum: Σn.x[n] = a,
int-to-real: r(n),
natural_number: $n
Definitions unfolded in proof :
series-sum: Σn.x[n] = a,
all: ∀x:A. B[x],
member: t ∈ T,
uall: ∀[x:A]. B[x],
iff: P ⇐⇒ Q,
and: P ∧ Q,
rev_implies: P ⇐ Q,
implies: P ⇒ Q,
nat: ℕ,
so_lambda: λ2x.t[x],
int_seg: {i..j-},
lelt: i ≤ j < k,
le: A ≤ B,
so_apply: x[s],
uimplies: b supposing a,
uiff: uiff(P;Q),
rev_uimplies: rev_uimplies(P;Q),
guard: {T}
Latex:
\mSigma{}i.r0 = r0
Date html generated:
2020_05_20-AM-11_19_42
Last ObjectModification:
2020_01_02-PM-02_10_43
Theory : reals
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