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• Vl-svstmt.lisp

Sv::svarlist-remove-delays

Signature

(sv::svarlist-remove-delays acl2::x) → sv::new-x

Arguments

acl2::x — Guard (sv::svarlist-p acl2::x).

Returns

sv::new-x — Type (sv::svarlist-p sv::new-x).

Definitions and Theorems

Function: svarlist-remove-delays

(defun sv::svarlist-remove-delays (acl2::x)
  (declare (xargs :guard (sv::svarlist-p acl2::x)))
  (let ((__function__ 'sv::svarlist-remove-delays))
    (declare (ignorable __function__))
    (if (atom acl2::x)
        nil
      (cons (b* (((sv::svar sv::x1) (car acl2::x)))
              (sv::make-svar :name sv::x1.name))
            (sv::svarlist-remove-delays (cdr acl2::x))))))

Theorem: svarlist-p-of-svarlist-remove-delays

(defthm sv::svarlist-p-of-svarlist-remove-delays
  (b* ((sv::new-x (sv::svarlist-remove-delays acl2::x)))
    (sv::svarlist-p sv::new-x))
  :rule-classes :rewrite)

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

(defthm sv::svarlist-remove-delays-of-svarlist-fix-x
  (equal (sv::svarlist-remove-delays (sv::svarlist-fix acl2::x))
         (sv::svarlist-remove-delays acl2::x)))

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

(defthm sv::svarlist-remove-delays-svarlist-equiv-congruence-on-x
  (implies (sv::svarlist-equiv acl2::x sv::x-equiv)
           (equal (sv::svarlist-remove-delays acl2::x)
                  (sv::svarlist-remove-delays sv::x-equiv)))
  :rule-classes :congruence)