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Primitive-functions

Eval-unary-/

Evaluation semantics of unary-/.

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

Definitions and Theorems

Function: eval-unary-/

(defun eval-unary-/ (x)
  (declare (xargs :guard (valuep x)))
  (let ((__function__ 'eval-unary-/))
    (declare (ignorable __function__))
    (value-number (if (value-case x :number)
                      (b* ((x-number (value-number->get x)))
                        (if (/= x-number 0)
                            (unary-/ x-number)
                          0))
                    0))))

Theorem: valuep-of-eval-unary-/

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

Theorem: eval-unary-/-of-value-fix-x

(defthm eval-unary-/-of-value-fix-x
  (equal (eval-unary-/ (value-fix x))
         (eval-unary-/ x)))

Theorem: eval-unary-/-value-equiv-congruence-on-x

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