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Integer-operations

Test-integer-value

Test an integer value logically.

Signature
(test-integer-value val) → res
Arguments: val — Guard (valuep val).
Returns: res — Type (booleanp res).

In some contexts (e.g. conditional tests), an integer is treated as a logical boolean: false if 0, true if not 0. This is captured by this ACL2 function.

Definitions and Theorems

Function: test-integer-value

(defun test-integer-value (val)
  (declare (xargs :guard (valuep val)))
  (declare (xargs :guard (value-integerp val)))
  (let ((__function__ 'test-integer-value))
    (declare (ignorable __function__))
    (not (equal (value-integer->get val) 0))))

Theorem: booleanp-of-test-integer-value

(defthm booleanp-of-test-integer-value
  (b* ((res (test-integer-value val)))
    (booleanp res))
  :rule-classes :rewrite)

Theorem: test-integer-value-of-value-fix-val

(defthm test-integer-value-of-value-fix-val
  (equal (test-integer-value (value-fix val))
         (test-integer-value val)))

Theorem: test-integer-value-value-equiv-congruence-on-val

(defthm test-integer-value-value-equiv-congruence-on-val
  (implies (value-equiv val val-equiv)
           (equal (test-integer-value val)
                  (test-integer-value val-equiv)))
  :rule-classes :congruence)