Nuprl Lemma : divides_iff_rem_zero
2,24
postcript
pdf
a
:
,
b
:
.
b
|
a
(
a
rem
b
) = 0
latex
Definitions
P
Q
,
P
&
Q
,
P
Q
,
b
|
a
,
x
:
A
.
B
(
x
)
,
Prop
,
A
,
False
,
P
Q
,
a
b
,
,
t
T
,
,
,
x
:
A
.
B
(
x
)
,
Div(
a
;
n
;
q
)
,
i
j
<
k
,
A
B
,
i
j
,
Dec(
P
)
,
P
Q
,
{...
i
}
Lemmas
divide
wfa
,
rem
3
to
1
,
divides
invar
2
,
minus
functionality
wrt
eq
,
rem
2
to
1
,
divides
invar
1
,
rem
4
to
1
,
decidable
le
,
add
mono
wrt
eq
,
mul
cancel
in
lt
,
mul
cancel
in
le
,
le
wf
,
div
elim
,
nat
plus
inc
int
nzero
,
rem
to
div
,
nat
wf
,
nat
plus
wf
,
int
nzero
wf
,
divides
wf
origin