Nuprl Lemma : subtype_rel-random-variable
∀[k:FinProbSpace]. ∀[n,m:ℕ]. RandomVariable(k;n) ⊆r RandomVariable(k;m) supposing n ≤ m
Proof
Definitions occuring in Statement :
random-variable: RandomVariable(p;n),
finite-prob-space: FinProbSpace,
nat: ℕ,
uimplies: b supposing a,
subtype_rel: A ⊆r B,
uall: ∀[x:A]. B[x],
le: A ≤ B
Lemmas :
subtype_rel_dep_function,
int_seg_wf,
rationals_wf,
length_wf,
subtype_rel-int_seg,
false_wf,
subtype_rel_self,
le_wf,
nat_wf,
finite-prob-space_wf
\mforall{}[k:FinProbSpace]. \mforall{}[n,m:\mBbbN{}]. RandomVariable(k;n) \msubseteq{}r RandomVariable(k;m) supposing n \mleq{} m
Date html generated:
2015_07_17-AM-07_58_36
Last ObjectModification:
2015_01_27-AM-11_23_18
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