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Svarlist-addr-p

(svarlist-addr-p x) recognizes lists where every element satisfies svar-addr-p.

Signature
(svarlist-addr-p x) → std::bool

This is an ordinary std::deflist. It is "loose" in that it does not care whether x is nil-terminated.

Definitions and Theorems

Function: svarlist-addr-p

(defun svarlist-addr-p (x)
  (declare (xargs :guard (svarlist-p x)))
  (let ((__function__ 'svarlist-addr-p))
    (declare (ignorable __function__))
    (if (consp x)
        (and (svar-addr-p (car x))
             (svarlist-addr-p (cdr x)))
      t)))

Theorem: svarlist-addr-p-of-svarlist-fix-x

(defthm svarlist-addr-p-of-svarlist-fix-x
  (equal (svarlist-addr-p (svarlist-fix x))
         (svarlist-addr-p x)))

Theorem: svarlist-addr-p-svarlist-equiv-congruence-on-x

(defthm svarlist-addr-p-svarlist-equiv-congruence-on-x
  (implies (svarlist-equiv x x-equiv)
           (equal (svarlist-addr-p x)
                  (svarlist-addr-p x-equiv)))
  :rule-classes :congruence)

Subtopics

Svarlist-addr-p-basics: Basic theorems about svarlist-addr-p, generated by std::deflist.