SQLite composite key (2 foreign keys) Link table

Either of these should work for your association table:

create table house_items (    house_id integer not null,    item_id  integer not null,    foreign key (house_id) references houses(id),    foreign key (item_id) references electrical_items(id),    primary key (house_id, item_id))create table house_items (    house_id integer not null references houses(id),    item_id  integer not null references electrical_items(id),    primary key (house_id, item_id))

You'll probably want separate (single column) indexes on house_items.house_id and house_items.item_id as well.

Just to complement the first answer, it's a good practice to add a name to constraints, like the code below:

create table house_items (    house_id integer not null,    item_id  integer not null,    constraint house_items_pk primary key (house_id, item_id),    constraint house_items_house_fk foreign key (house_id) references houses(id),    constraint house_items_items_fk foreign key (item_id) references electrical_items(id));

There is no prohibition about a PRIMARY KEY not also being a FOREIGN KEY for those designs that require this kind of relation. Your problem isn't one of those, however, since the natural PRIMARY KEY in the linking table is a composite of the two columns, each a FOREIGN KEY back to one of the other tables.