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Compile.lisp

Svarlist-collect-delays

Signature
(svarlist-collect-delays x) → delayvars
Arguments: x — Guard (svarlist-p x).
Returns: delayvars — Type (svarlist-p delayvars).

Definitions and Theorems

Function: svarlist-collect-delays

(defun svarlist-collect-delays (x)
  (declare (xargs :guard (svarlist-p x)))
  (let ((__function__ 'svarlist-collect-delays))
    (declare (ignorable __function__))
    (if (atom x)
        nil
      (if (zp (svar->delay (car x)))
          (svarlist-collect-delays (cdr x))
        (cons (svar-fix (car x))
              (svarlist-collect-delays (cdr x)))))))

Theorem: svarlist-p-of-svarlist-collect-delays

(defthm svarlist-p-of-svarlist-collect-delays
  (b* ((delayvars (svarlist-collect-delays x)))
    (svarlist-p delayvars))
  :rule-classes :rewrite)

Theorem: vars-of-svarlist-collect-delays

(defthm vars-of-svarlist-collect-delays
  (b* ((delayvars (svarlist-collect-delays x)))
    (implies (not (double-rewrite (member v (svarlist-fix x))))
             (not (member v delayvars))))
  :rule-classes :rewrite)

Theorem: svarlist-collect-delays-of-svarlist-fix-x

(defthm svarlist-collect-delays-of-svarlist-fix-x
  (equal (svarlist-collect-delays (svarlist-fix x))
         (svarlist-collect-delays x)))

Theorem: svarlist-collect-delays-svarlist-equiv-congruence-on-x

(defthm svarlist-collect-delays-svarlist-equiv-congruence-on-x
  (implies (svarlist-equiv x x-equiv)
           (equal (svarlist-collect-delays x)
                  (svarlist-collect-delays x-equiv)))
  :rule-classes :congruence)