Nuprl Lemma : open-random-variable

p:FinProbSpace. ∀n:ℕ. ∀C:p-open(p).  s.(C <n, s>) ∈ RandomVariable(p;n))


Proof




Definitions occuring in Statement :  p-open: p-open(p) random-variable: RandomVariable(p;n) finite-prob-space: FinProbSpace nat: all: x:A. B[x] member: t ∈ T apply: a lambda: λx.A[x] pair: <a, b>
Lemmas :  int_seg_wf p-outcome_wf subtype_rel_set rationals_wf lelt_wf int-subtype-rationals p-open_wf nat_wf finite-prob-space_wf
\mforall{}p:FinProbSpace.  \mforall{}n:\mBbbN{}.  \mforall{}C:p-open(p).    (\mlambda{}s.(C  <n,  s>)  \mmember{}  RandomVariable(p;n))



Date html generated: 2015_07_17-AM-08_00_01
Last ObjectModification: 2015_01_27-AM-11_22_02

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