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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)