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Svex-argmasks

Svmask-for-uxor

Implements svex-argmasks for UXOR.

Signature
(svmask-for-uxor mask args) → argmasks
Arguments: mask — Care mask for the full expression.
Guard (4vmask-p mask).; args — Arguments to this UXOR operator.
Guard (svexlist-p args).
Returns: argmasks — The new care masks inferred for the args.
Type (4vmasklist-p argmasks).

See svmask-for-uand; the same reasoning applies here.

Definitions and Theorems

Function: svmask-for-uxor$inline

(defun svmask-for-uxor$inline (mask args)
  (declare (xargs :guard (and (4vmask-p mask)
                              (svexlist-p args))))
  (let ((__function__ 'svmask-for-uxor))
    (declare (ignorable __function__))
    (b* (((svex-nths x) args)
         (mask (4vmask-fix mask)))
      (list (4vmask-all-or-none mask)))))

Theorem: 4vmasklist-p-of-svmask-for-uxor

(defthm 4vmasklist-p-of-svmask-for-uxor
  (b* ((argmasks (svmask-for-uxor$inline mask args)))
    (4vmasklist-p argmasks))
  :rule-classes :rewrite)

Theorem: svmask-for-uxor$inline-of-4vmask-fix-mask

(defthm svmask-for-uxor$inline-of-4vmask-fix-mask
  (equal (svmask-for-uxor$inline (4vmask-fix mask)
                                 args)
         (svmask-for-uxor$inline mask args)))

Theorem: svmask-for-uxor$inline-4vmask-equiv-congruence-on-mask

(defthm svmask-for-uxor$inline-4vmask-equiv-congruence-on-mask
  (implies (4vmask-equiv mask mask-equiv)
           (equal (svmask-for-uxor$inline mask args)
                  (svmask-for-uxor$inline mask-equiv args)))
  :rule-classes :congruence)

Theorem: svmask-for-uxor$inline-of-svexlist-fix-args

(defthm svmask-for-uxor$inline-of-svexlist-fix-args
  (equal (svmask-for-uxor$inline mask (svexlist-fix args))
         (svmask-for-uxor$inline mask args)))

Theorem: svmask-for-uxor$inline-svexlist-equiv-congruence-on-args

(defthm svmask-for-uxor$inline-svexlist-equiv-congruence-on-args
  (implies (svexlist-equiv args args-equiv)
           (equal (svmask-for-uxor$inline mask args)
                  (svmask-for-uxor$inline mask args-equiv)))
  :rule-classes :congruence)

Theorem: svmask-for-uxor-correct

(defthm svmask-for-uxor-correct
 (implies
    (and (equal (4veclist-mask (svmask-for-uxor mask args)
                               (svexlist-eval args env))
                (4veclist-mask (svmask-for-uxor mask args)
                               args1))
         (syntaxp (not (equal args1
                              (cons 'svexlist-eval
                                    (cons args (cons env 'nil)))))))
    (equal (4vec-mask mask (svex-apply 'uxor args1))
           (4vec-mask mask
                      (svex-apply 'uxor
                                  (svexlist-eval args env))))))