Nuprl Lemma : rv-disjoint-symmetry
11,40
postcript
pdf
p
:FinProbSpace,
n
:
,
X
,
Y
:RandomVariable(
p
;
n
). rv-disjoint(
p
;
n
;
X
;
Y
)
rv-disjoint(
p
;
n
;
Y
;
X
)
latex
Definitions
t
T
,
x
:
A
.
B
(
x
)
,
Outcome
,
x
:
A
B
(
x
)
,
S
T
,
P
Q
,
False
,
A
,
P
&
Q
,
A
B
,
i
j
<
k
,
,
{
x
:
A
|
B
(
x
)}
,
,
{
i
..
j
}
,
RandomVariable(
p
;
n
)
,
,
#$n
,
Type
,
suptype(
S
;
T
)
,
f
(
a
)
,
s
=
t
,
,
P
Q
,
{
T
}
,
left
+
right
,
rv-disjoint(
p
;
n
;
X
;
Y
)
,
FinProbSpace
Lemmas
rv-disjoint
wf
,
random-variable
wf
,
nat
wf
,
finite-prob-space
wf
,
not
wf
,
rationals
wf
,
int
seg
wf
,
p-outcome
wf
origin