Nuprl Lemma : qmul-zero
11,40
postcript
pdf
a
,
b
:
. ((
a
*
b
) = 0
)
((
a
= 0
)
(
b
= 0
))
latex
Definitions
(
i
=
j
)
,
tt
,
if
b
then
t
else
f
fi
,
qeq(
r
;
s
)
,
b
,
True
,
T
,
r
*
s
,
{
T
}
,
,
t
T
,
P
Q
,
P
Q
,
P
&
Q
,
P
Q
,
P
Q
,
x
:
A
.
B
(
x
)
,
False
,
ff
,
Dec(
P
)
,
S
T
Lemmas
qmul
comm
qrng
,
qmul
ac
1
qrng
,
qmul
assoc
qrng
,
qmul
zero
qrng
,
qeq
wf2
,
assert
wf
,
not
functionality
wrt
iff
,
qinv
wf
,
assert-qeq
,
qmul
inv
,
true
wf
,
squash
wf
,
decidable
equal
rationals
,
int
inc
rationals
,
qmul
wf
,
rationals
wf
origin