## Guessing the Type of a Newly Admitted Function

When a function is admitted to the logic, ACL2 tries to ``guess'' what type
of object it returns. This guess is codified as a term that expresses a
property of the value of the function. For `app`

the term is

(OR (CONSP (APP X Y))
(EQUAL (APP X Y) Y))

which says that `app`

returns either a cons or its second argument. This
formula is added to ACL2's rule base as a `type-prescription`

rule. Later we will discuss how rules are used by the ACL2 theorem prover.
The point here is just that when you add a definition, the database of rules
is updated, not just by the addition of the definitional axiom, but by
several new rules.You should now return to the Walking Tour.