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• Sbyte4

Sbyte4-fix

Fixer for sbyte4.

Signature

(sbyte4-fix x) → fixed-x

Arguments

x — Guard (sbyte4p x).

Returns

fixed-x — Type (sbyte4p fixed-x).

Definitions and Theorems

Function: sbyte4-fix

(defun sbyte4-fix (x)
  (declare (xargs :guard (sbyte4p x)))
  (mbe :logic (if (sbyte4p x) x 0)
       :exec x))

Theorem: sbyte4p-of-sbyte4-fix

(defthm sbyte4p-of-sbyte4-fix
  (b* ((fixed-x (sbyte4-fix x)))
    (sbyte4p fixed-x))
  :rule-classes :rewrite)

Theorem: sbyte4-fix-when-sbyte4p

(defthm sbyte4-fix-when-sbyte4p
  (implies (sbyte4p x)
           (equal (sbyte4-fix x) x)))