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Evaluation

Svexlist-quotesp

Signature
(svexlist-quotesp x) → *
Arguments: x — Guard (svexlist-p x).

Definitions and Theorems

Function: svexlist-quotesp

(defun svexlist-quotesp (x)
  (declare (xargs :guard (svexlist-p x)))
  (let ((__function__ 'svexlist-quotesp))
    (declare (ignorable __function__))
    (if (atom x)
        t
      (and (eq (svex-kind (car x)) :quote)
           (svexlist-quotesp (cdr x))))))

Theorem: svexlist-quotesp-of-svexlist-fix-x

(defthm svexlist-quotesp-of-svexlist-fix-x
  (equal (svexlist-quotesp (svexlist-fix x))
         (svexlist-quotesp x)))

Theorem: svexlist-quotesp-svexlist-equiv-congruence-on-x

(defthm svexlist-quotesp-svexlist-equiv-congruence-on-x
  (implies (svexlist-equiv x x-equiv)
           (equal (svexlist-quotesp x)
                  (svexlist-quotesp x-equiv)))
  :rule-classes :congruence)