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Alias

Alias->val

Get the val field from a alias.

Signature
(alias->val x) → val
Arguments: x — Guard (alias-p x).
Returns: val — Type (svex-p val).

This is an ordinary field accessor created by fty::defprod.

Definitions and Theorems

Function: alias->val$inline

(defun alias->val$inline (x)
  (declare (xargs :guard (alias-p x)))
  (declare (xargs :guard t))
  (let ((acl2::__function__ 'alias->val))
    (declare (ignorable acl2::__function__))
    (mbe :logic
         (b* ((x (and t x)))
           (svex-fix (cdr (std::da-nth 1 x))))
         :exec (cdr (std::da-nth 1 x)))))

Theorem: svex-p-of-alias->val

(defthm svex-p-of-alias->val
  (b* ((val (alias->val$inline x)))
    (svex-p val))
  :rule-classes :rewrite)

Theorem: alias->val$inline-of-alias-fix-x

(defthm alias->val$inline-of-alias-fix-x
  (equal (alias->val$inline (alias-fix x))
         (alias->val$inline x)))

Theorem: alias->val$inline-alias-equiv-congruence-on-x

(defthm alias->val$inline-alias-equiv-congruence-on-x
  (implies (alias-equiv x x-equiv)
           (equal (alias->val$inline x)
                  (alias->val$inline x-equiv)))
  :rule-classes :congruence)