<s>
In	O
predicate	O
logic	O
,	O
generalization	B-Algorithm
(	O
also	O
universal	B-Algorithm
generalization	I-Algorithm
or	O
universal	O
introduction	O
,	O
GEN	O
)	O
is	O
a	O
valid	O
inference	O
rule	O
.	O
</s>
<s>
The	O
full	O
generalization	B-Algorithm
rule	O
allows	O
for	O
hypotheses	O
to	O
the	O
left	O
of	O
the	O
turnstile	O
,	O
but	O
with	O
restrictions	O
.	O
</s>
<s>
The	O
generalization	B-Algorithm
rule	O
states	O
that	O
can	O
be	O
derived	O
if	O
is	O
not	O
mentioned	O
in	O
and	O
does	O
not	O
occur	O
in	O
.	O
</s>
<s>
In	O
this	O
proof	O
,	O
universal	B-Algorithm
generalization	I-Algorithm
was	O
used	O
in	O
step	O
8	O
.	O
</s>
