Nuprl Lemma : rv-add_wf
∀[k:FinProbSpace]. ∀[n:ℕ]. ∀[X,Y:RandomVariable(k;n)]. (X + Y ∈ RandomVariable(k;n))
Proof
Definitions occuring in Statement :
rv-add: X + Y,
random-variable: RandomVariable(p;n),
finite-prob-space: FinProbSpace,
nat: ℕ,
uall: ∀[x:A]. B[x],
member: t ∈ T
Lemmas :
qadd_wf,
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{}[X,Y:RandomVariable(k;n)]. (X + Y \mmember{} RandomVariable(k;n))
Date html generated:
2015_07_17-AM-07_58_38
Last ObjectModification:
2015_01_27-AM-11_23_54
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