Nuprl Lemma : expectation-rv-scale
11,40
postcript
pdf
p
:FinProbSpace,
n
:
,
X
:RandomVariable(
p
;
n
),
q
:
. E(
n
;
q
*
X
) = (
q
* E(
n
;
X
))
latex
Definitions
t
T
,
x
:
A
.
B
(
x
)
,
E(
n
;
F
)
,
r
*
s
,
,
x
:
A
B
(
x
)
,
True
,
,
P
Q
,
P
Q
,
P
&
Q
,
s
=
t
,
T
,
r
+
s
,
x
:
A
B
(
x
)
,
P
Q
,
<
a
,
b
>
,
False
,
A
,
A
B
,
{
x
:
A
|
B
(
x
)}
,
,
||
as
||
,
{
i
..
j
}
,
f
(
a
)
,
x
.
A
(
x
)
,
X
+
Y
,
q
*
X
,
RandomVariable(
p
;
n
)
,
FinProbSpace
,
,
#$n
,
rv-const(
a
)
Lemmas
expectation-linear
,
random-variable
wf
,
nat
wf
,
finite-prob-space
wf
,
int
seg
wf
,
length
wf1
,
qmul
zero
qrng
,
qadd
wf
,
squash
wf
,
true
wf
,
qmul
comm
qrng
,
qadd
comm
q
,
mon
ident
q
,
rationals
wf
,
rv-const
wf
,
int
inc
rationals
,
qmul
wf
,
expectation
wf
origin