Nuprl Lemma : rv-sample_wf
∀[k:FinProbSpace]. ∀[n:ℕ]. ∀[i:ℕn]. ∀[X:Outcome ─→ ℚ]. (X@i ∈ RandomVariable(k;n))
Proof
Definitions occuring in Statement :
rv-sample: X@i,
random-variable: RandomVariable(p;n),
p-outcome: Outcome,
finite-prob-space: FinProbSpace,
int_seg: {i..j-},
nat: ℕ,
uall: ∀[x:A]. B[x],
member: t ∈ T,
function: x:A ─→ B[x],
natural_number: $n,
rationals: ℚ
Lemmas :
int_seg_wf,
length_wf,
rationals_wf,
nat_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{}[k:FinProbSpace]. \mforall{}[n:\mBbbN{}]. \mforall{}[i:\mBbbN{}n]. \mforall{}[X:Outcome {}\mrightarrow{} \mBbbQ{}]. (X@i \mmember{} RandomVariable(k;n))
Date html generated:
2015_07_17-AM-07_58_46
Last ObjectModification:
2015_01_27-AM-11_23_06
Home
Index