Nuprl Lemma : qmul-non-neg
11,40
postcript
pdf
a
,
b
:
. ((
a
= 0
)
(
b
= 0
)
(0 <
a
& 0 <
b
)
(0 < -(
a
) & 0 < -(
b
)))
0
a
*
b
latex
Definitions
{
T
}
,
T
,
(
i
=
j
)
,
qeq(
r
;
s
)
,
ff
,
i
<z
j
,
tt
,
r
+
s
,
r
-
s
,
qpositive(
r
)
,
p
q
,
q_le(
r
;
s
)
,
<
+>
,
t
.2
,
t
.1
,
,
x
f
y
,
if
b
then
t
else
f
fi
,
b
,
a
b
,
r
*
s
,
r
s
,
True
,
,
t
T
,
P
Q
,
P
Q
,
P
&
Q
,
P
Q
,
P
Q
,
x
:
A
.
B
(
x
)
,
False
,
A
,
Dec(
P
)
,
S
T
Lemmas
qmul-zero
,
qless
complement
qorder
,
qless
trichot
qorder
,
decidable
equal
rationals
,
qle
weakening
lt
qorder
,
qmul-positive
,
qmul
zero
qrng
,
true
wf
,
squash
wf
,
qle
wf
,
qmul
wf
,
qless
wf
,
int
inc
rationals
,
rationals
wf
origin