Nuprl Lemma : rv-disjoint-shift 11,40

p:FinProbSpace, n:XY:RandomVariable(p;n), x:Outcome.
(0 < n rv-disjoint(p;n;X;Y rv-disjoint(p;n - 1;rv-shift(x;X);rv-shift(x;Y)) 
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Definitionsn+m, #$n, rv-disjoint(p;n;X;Y), P  Q, {T}, suptype(ST), , T, Type, True, <ab>, f(a), cons-seq(x;s), left + right, Unit, P  Q, (i = j), , b, b, , RandomVariable(p;n), FinProbSpace, x:A  B(x), Void, s = t, rv-shift(x;X), , a < b, {i..j}, , {x:AB(x)} , , i  j < k, A  B, P & Q, A, False, P  Q, n - m, -n, S  T, x:AB(x), Outcome, x:AB(x), t  T
Lemmasp-outcome wf, rv-shift wf, le wf, assert wf, not wf, bnot wf, bool wf, eq int wf, assert of eq int, not functionality wrt iff, assert of bnot, iff transitivity, eqff to assert, eqtt to assert, int seg wf, true wf, squash wf, cons-seq wf, rationals wf, finite-prob-space wf, nat wf, random-variable wf, rv-disjoint wf

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