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Arithmetic-operations

Op-rem

Leo remainder operation.

Signature
(op-rem left right curve) → result
Arguments: left — Guard (valuep left).; right — Guard (valuep right).; curve — Guard (curvep curve).
Returns: result — Type (value-resultp result).

Definitions and Theorems

Function: op-rem

(defun op-rem (left right curve)
  (declare (xargs :guard (and (valuep left)
                              (valuep right)
                              (curvep curve))))
  (declare (ignorable curve))
  (let ((__function__ 'op-rem))
    (declare (ignorable __function__))
    (cond ((and (int-valuep left)
                (int-valuep right))
           (op-int-rem left right))
          (t (reserrf (list :op-rem (value-fix left)
                            (value-fix right)))))))

Theorem: value-resultp-of-op-rem

(defthm value-resultp-of-op-rem
  (b* ((result (op-rem left right curve)))
    (value-resultp result))
  :rule-classes :rewrite)