Theorem 2.2.
Assuming that:
h
:
M
→
N
is an
L
-
isomorphism
φ
(
x
1
,
…
,
x
n
)
an
L
-formula
a
1
,
…
,
a
n
∈
M
Then
M
⊨
φ
(
a
1
,
…
,
a
n
)
iff
N
⊨
φ
(
h
(
a
1
)
,
…
,
h
(
a
n
)
)
.