Nuprl Lemma : weighted-sum_wf2
∀[p:FinProbSpace]. ∀[F:Outcome ─→ ℚ]. (weighted-sum(p;F) ∈ ℚ)
Proof
Definitions occuring in Statement :
weighted-sum: weighted-sum(p;F),
p-outcome: Outcome,
finite-prob-space: FinProbSpace,
uall: ∀[x:A]. B[x],
member: t ∈ T,
function: x:A ─→ B[x],
rationals: ℚ
Lemmas :
weighted-sum_wf,
int_seg_wf,
length_wf,
rationals_wf,
set_wf,
list_wf,
equal-wf-T-base,
Error :qsum_wf,
select_wf,
sq_stable__le,
l_all_wf2,
l_member_wf,
Error :qle_wf,
int-subtype-rationals
\mforall{}[p:FinProbSpace]. \mforall{}[F:Outcome {}\mrightarrow{} \mBbbQ{}]. (weighted-sum(p;F) \mmember{} \mBbbQ{})
Date html generated:
2015_07_17-AM-07_58_26
Last ObjectModification:
2015_01_27-AM-11_23_59
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