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4vec-boolmaskp

Signature
(4vec-boolmaskp x mask) → *
Arguments: x — Guard (4vec-p x).; mask — Guard (integerp mask).

Definitions and Theorems

Function: 4vec-boolmaskp

(defun 4vec-boolmaskp (x mask)
  (declare (xargs :guard (and (4vec-p x) (integerp mask))))
  (let ((__function__ '4vec-boolmaskp))
    (declare (ignorable __function__))
    (b* (((4vec x) x))
      (eql 0
           (logand mask (logxor x.upper x.lower))))))

Theorem: 4vec-boolmaskp-of-4vec-fix-x

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

Theorem: 4vec-boolmaskp-4vec-equiv-congruence-on-x

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

Theorem: 4vec-boolmaskp-of-ifix-mask

(defthm 4vec-boolmaskp-of-ifix-mask
  (equal (4vec-boolmaskp x (ifix mask))
         (4vec-boolmaskp x mask)))

Theorem: 4vec-boolmaskp-int-equiv-congruence-on-mask

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