Nuprl Lemma : qmul_over_plus_qrng
11,40
postcript
pdf
a
,
b
,
c
:
. (
a
* (
b
+
c
)) = ((
a
*
b
) + (
a
*
c
))
& ((
b
+
c
) *
a
) = ((
b
*
a
) + (
c
*
a
))
latex
Definitions
t
T
,
t
.2
,
t
.1
,
CRng
,
<
+*>
,
+
r
,
*
,
x
f
y
,
|
r
|
,
x
:
A
.
B
(
x
)
Lemmas
crng
wf
,
qrng
wf
,
rng
times
over
plus
origin
a, b, c:
. (a * (b + c)) = ((a * b) + (a * c)) 
& ((b + c) * a) = ((b * a) + (c * a)) a, b, c:. (a * (b + c)) = ((a * b) + (a * c)) & ((b + c) * a) = ((b * a) + (c * a)) T+*>x:A. B(x)