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Point-fix

Fixer of elliptic curve points.

Function: point-fix

(defun point-fix (x)
  (declare (xargs :guard (pointp x)))
  (mbe :logic (if (pointp x) x :infinity)
       :exec x))

Theorem: pointp-of-point-fix

(defthm pointp-of-point-fix
  (b* ((fixed-x (point-fix x)))
    (pointp fixed-x))
  :rule-classes :rewrite)

Theorem: point-fix-when-pointp

(defthm point-fix-when-pointp
  (implies (pointp x)
           (equal (point-fix x) x)))