		Search-engine friendly clone of the ACL2 documentation.

Primitive-functions

Eval-denominator

Evaluation semantics of denominator.

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

Definitions and Theorems

Function: eval-denominator

(defun eval-denominator (x)
  (declare (xargs :guard (valuep x)))
  (let ((__function__ 'eval-denominator))
    (declare (ignorable __function__))
    (value-number (if (value-case-rational x)
                      (value-rational->get x)
                    0))))

Theorem: valuep-of-eval-denominator

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

Theorem: eval-denominator-of-value-fix-x

(defthm eval-denominator-of-value-fix-x
  (equal (eval-denominator (value-fix x))
         (eval-denominator x)))

Theorem: eval-denominator-value-equiv-congruence-on-x

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