Nuprl Lemma : prime_elim
2,24
postcript
pdf
p
:
. prime(
p
)
p
= 0 &
(
p
~ 1) & (
a
:
.
a
|
p
(
a
~ 1)
(
a
~
p
))
latex
Definitions
atomic(
a
)
,
P
Q
,
b
|
a
,
P
&
Q
,
prime(
a
)
,
x
:
A
.
B
(
x
)
,
t
T
,
reducible(
a
)
,
x
.
t
(
x
)
,
P
Q
,
P
Q
,
x
:
A
.
B
(
x
)
,
P
Q
,
Prop
,
,
a
b
,
False
,
Dec(
P
)
,
a
~
b
,
A
,
T
,
True
Lemmas
assoced
inversion
,
true
wf
,
squash
wf
,
multiply
functionality
wrt
assoced
,
assoced
functionality
wrt
assoced
,
assoced
weakening
,
nequal
wf
,
decidable
int
equal
,
not
wf
,
decidable
assoced
,
decidable
not
,
assoced
wf
,
int
nzero
wf
,
dneg
elim
a
,
or
functionality
wrt
iff
,
not
over
and
,
iff
transitivity
,
all
functionality
wrt
iff
,
not
over
exists
,
prime
wf
,
divides
wf
,
prime
imp
atomic
origin