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Compile.lisp

Svex-overridelist-vars

Signature
(svex-overridelist-vars x) → vars
Arguments: x — Guard (svex-overridelist-p x).
Returns: vars — Type (svarlist-p vars).

Definitions and Theorems

Function: svex-overridelist-vars

(defun svex-overridelist-vars (x)
  (declare (xargs :guard (svex-overridelist-p x)))
  (let ((__function__ 'svex-overridelist-vars))
    (declare (ignorable __function__))
    (if (atom x)
        nil
      (append (svex-override-vars (car x))
              (svex-overridelist-vars (cdr x))))))

Theorem: svarlist-p-of-svex-overridelist-vars

(defthm svarlist-p-of-svex-overridelist-vars
  (b* ((vars (svex-overridelist-vars x)))
    (svarlist-p vars))
  :rule-classes :rewrite)

Theorem: svex-overridelist-vars-of-svex-overridelist-fix-x

(defthm svex-overridelist-vars-of-svex-overridelist-fix-x
  (equal (svex-overridelist-vars (svex-overridelist-fix x))
         (svex-overridelist-vars x)))

Theorem: svex-overridelist-vars-svex-overridelist-equiv-congruence-on-x

(defthm
     svex-overridelist-vars-svex-overridelist-equiv-congruence-on-x
  (implies (svex-overridelist-equiv x x-equiv)
           (equal (svex-overridelist-vars x)
                  (svex-overridelist-vars x-equiv)))
  :rule-classes :congruence)