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Arithmetic-operations

Op-inv

Leo inverse (reciprocal) operation.

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

Definitions and Theorems

Function: op-inv

(defun op-inv (arg curve)
  (declare (xargs :guard (and (valuep arg) (curvep curve))))
  (let ((__function__ 'op-inv))
    (declare (ignorable __function__))
    (cond ((value-case arg :field)
           (op-field-inv arg curve))
          (t (reserrf (list :op-inv (value-fix arg)))))))

Theorem: value-resultp-of-op-inv

(defthm value-resultp-of-op-inv
  (b* ((result (op-inv arg curve)))
    (value-resultp result))
  :rule-classes :rewrite)