Nuprl Lemma : weighted-sum_wf
∀[p:ℚ List]. ∀[F:ℕ||p|| ─→ ℚ]. (weighted-sum(p;F) ∈ ℚ)
Proof
Definitions occuring in Statement :
weighted-sum: weighted-sum(p;F),
length: ||as||,
list: T List,
int_seg: {i..j-},
uall: ∀[x:A]. B[x],
member: t ∈ T,
function: x:A ─→ B[x],
natural_number: $n,
rationals: ℚ
Lemmas :
Error :qsum_wf,
length_wf,
rationals_wf,
qmul_wf,
select_wf,
sq_stable__le,
int_seg_wf,
list_wf
\mforall{}[p:\mBbbQ{} List]. \mforall{}[F:\mBbbN{}||p|| {}\mrightarrow{} \mBbbQ{}]. (weighted-sum(p;F) \mmember{} \mBbbQ{})
Date html generated:
2015_07_17-AM-07_58_09
Last ObjectModification:
2015_01_27-AM-11_24_05
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