		Search-engine friendly clone of the ACL2 documentation.

Primitive-functions

Eval-ACL2-numberp

Evaluation semantics of ACL2-numberp.

Signature
(eval-acl2-numberp x) → result
Arguments: x — Guard (valuep x).
Returns: result — Type (valuep result).

Definitions and Theorems

Function: eval-acl2-numberp

(defun eval-acl2-numberp (x)
  (declare (xargs :guard (valuep x)))
  (let ((__function__ 'eval-acl2-numberp))
    (declare (ignorable __function__))
    (lift-value (value-case x :number))))

Theorem: valuep-of-eval-acl2-numberp

(defthm valuep-of-eval-acl2-numberp
  (b* ((result (eval-acl2-numberp x)))
    (valuep result))
  :rule-classes :rewrite)

Theorem: eval-acl2-numberp-of-value-fix-x

(defthm eval-acl2-numberp-of-value-fix-x
  (equal (eval-acl2-numberp (value-fix x))
         (eval-acl2-numberp x)))

Theorem: eval-acl2-numberp-value-equiv-congruence-on-x

(defthm eval-acl2-numberp-value-equiv-congruence-on-x
  (implies (value-equiv x x-equiv)
           (equal (eval-acl2-numberp x)
                  (eval-acl2-numberp x-equiv)))
  :rule-classes :congruence)