This seems to be a bug:
Create Table tab1 (f1 integer);
Create Function tot_of_tab1() returns integer
as 'select cast(sum(f1) as int4) from tab1' language 'sql';
Alter Table tab1 add check(tot_of_tab1() > 0);
zzz=# insert into tab1 values(1);
INSERT 142380 1
zzz=# insert into tab1 values(-10);
INSERT 142381 1
zzz=# select tot_of_tab1();
tot_of_tab1
-------------
-9
(1 row)
zzz=# insert into tab1 values(-12);
ERROR: ExecAppend: rejected due to CHECK constraint $1
The constraint should have failed on the second insert. Maybe the
constraint is evaluate before the insert?
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