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4vec-operations

4vec-1mask

Signature
(4vec-1mask x) → 1mask
Arguments: x — Guard (4vec-p x).
Returns: 1mask — Type (integerp 1mask).

Definitions and Theorems

Function: 4vec-1mask

(defun 4vec-1mask (x)
  (declare (xargs :guard (4vec-p x)))
  (let ((__function__ '4vec-1mask))
    (declare (ignorable __function__))
    (b* (((4vec x)))
      (logand x.upper x.lower))))

Theorem: integerp-of-4vec-1mask

(defthm integerp-of-4vec-1mask
  (b* ((1mask (4vec-1mask x)))
    (integerp 1mask))
  :rule-classes :rewrite)

Theorem: 4vec-1mask-of-4vec-fix-x

(defthm 4vec-1mask-of-4vec-fix-x
  (equal (4vec-1mask (4vec-fix x))
         (4vec-1mask x)))

Theorem: 4vec-1mask-4vec-equiv-congruence-on-x

(defthm 4vec-1mask-4vec-equiv-congruence-on-x
  (implies (4vec-equiv x x-equiv)
           (equal (4vec-1mask x)
                  (4vec-1mask x-equiv)))
  :rule-classes :congruence)