Nuprl Lemma : rv-le_witness
∀[p:FinProbSpace]. ∀[n:ℕ]. ∀[X,Y:RandomVariable(p;n)]. (X ≤ Y ⇒ (λs.Ax ∈ X ≤ Y))
Proof
Definitions occuring in Statement :
rv-le: X ≤ Y,
random-variable: RandomVariable(p;n),
finite-prob-space: FinProbSpace,
nat: ℕ,
uall: ∀[x:A]. B[x],
implies: P ⇒ Q,
member: t ∈ T,
lambda: λx.A[x],
axiom: Ax
Lemmas :
int_seg_wf,
p-outcome_wf,
all_wf,
Error :qle_wf,
length_wf,
rationals_wf,
nat_wf,
finite-prob-space_wf,
Error :qle_witness
\mforall{}[p:FinProbSpace]. \mforall{}[n:\mBbbN{}]. \mforall{}[X,Y:RandomVariable(p;n)]. (X \mleq{} Y {}\mRightarrow{} (\mlambda{}s.Ax \mmember{} X \mleq{} Y))
Date html generated:
2015_07_17-AM-07_59_44
Last ObjectModification:
2015_01_27-AM-11_22_17
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