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Lhprobe

Lhprobe-map-vars

Collect variables present in an lhprobe-map

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

Definitions and Theorems

Function: lhprobe-map-vars

(defun lhprobe-map-vars (x)
  (declare (xargs :guard (lhprobe-map-p x)))
  (let ((__function__ 'lhprobe-map-vars))
    (declare (ignorable __function__))
    (b* (((when (atom x)) nil)
         ((unless (mbt (and (consp (car x))
                            (svar-p (caar x)))))
          (lhprobe-map-vars (cdr x))))
      (append (lhprobe-vars (cdar x))
              (lhprobe-map-vars (cdr x))))))

Theorem: svarlist-p-of-lhprobe-map-vars

(defthm svarlist-p-of-lhprobe-map-vars
  (b* ((vars (lhprobe-map-vars x)))
    (svarlist-p vars))
  :rule-classes :rewrite)

Theorem: lhprobe-map-eval-of-svex-envlist-extract-vars

(defthm lhprobe-map-eval-of-svex-envlist-extract-vars
 (implies
   (subsetp-equal (lhprobe-map-vars x)
                  (svarlist-fix vars))
   (equal (lhprobe-map-eval x (svex-envlist-extract-keys vars envs))
          (lhprobe-map-eval x envs))))

Theorem: lhprobe-map-eval-when-envs-agree

(defthm lhprobe-map-eval-when-envs-agree
  (implies (svex-envlists-agree (lhprobe-map-vars x)
                                envs1 envs2)
           (equal (lhprobe-map-eval x envs1)
                  (lhprobe-map-eval x envs2))))

Theorem: lhprobe-map-vars-of-lhprobe-map-fix-x

(defthm lhprobe-map-vars-of-lhprobe-map-fix-x
  (equal (lhprobe-map-vars (lhprobe-map-fix x))
         (lhprobe-map-vars x)))

Theorem: lhprobe-map-vars-lhprobe-map-equiv-congruence-on-x

(defthm lhprobe-map-vars-lhprobe-map-equiv-congruence-on-x
  (implies (lhprobe-map-equiv x x-equiv)
           (equal (lhprobe-map-vars x)
                  (lhprobe-map-vars x-equiv)))
  :rule-classes :congruence)