Nuprl Lemma : expectation-rv-const
∀[p:FinProbSpace]. ∀[a:ℚ]. ∀[n:ℕ]. (E(n;a) = a ∈ ℚ)
Proof
Definitions occuring in Statement :
expectation: E(n;F),
rv-const: a,
finite-prob-space: FinProbSpace,
nat: ℕ,
uall: ∀[x:A]. B[x],
equal: s = t ∈ T,
rationals: ℚ
Lemmas :
expectation-constant,
rv-const_wf,
int_seg_wf,
p-outcome_wf,
nat_wf,
rationals_wf,
finite-prob-space_wf
\mforall{}[p:FinProbSpace]. \mforall{}[a:\mBbbQ{}]. \mforall{}[n:\mBbbN{}]. (E(n;a) = a)
Date html generated:
2015_07_17-AM-07_58_55
Last ObjectModification:
2015_01_27-AM-11_22_58
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