Nuprl Lemma : rv-disjoint_wf
∀[p:FinProbSpace]. ∀[n:ℕ]. ∀[X,Y:RandomVariable(p;n)]. (rv-disjoint(p;n;X;Y) ∈ ℙ)
Proof
Definitions occuring in Statement :
rv-disjoint: rv-disjoint(p;n;X;Y)
,
random-variable: RandomVariable(p;n)
,
finite-prob-space: FinProbSpace
,
nat: ℕ
,
uall: ∀[x:A]. B[x]
,
prop: ℙ
,
member: t ∈ T
Lemmas :
all_wf,
int_seg_wf,
or_wf,
p-outcome_wf,
not_wf,
equal_wf,
rationals_wf,
nat_wf,
finite-prob-space_wf
\mforall{}[p:FinProbSpace]. \mforall{}[n:\mBbbN{}]. \mforall{}[X,Y:RandomVariable(p;n)]. (rv-disjoint(p;n;X;Y) \mmember{} \mBbbP{})
Date html generated:
2015_07_17-AM-07_59_05
Last ObjectModification:
2015_01_27-AM-11_22_48
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