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Vl-maybe-exprlist->subexprs

Signature

(vl-maybe-exprlist->subexprs x) → subexprs

Arguments

x — Guard (vl-maybe-exprlist-p x).

Returns

subexprs — Type (vl-exprlist-p subexprs).

Definitions and Theorems

Function: vl-maybe-exprlist->subexprs

(defun vl-maybe-exprlist->subexprs (x)
  (declare (xargs :guard (vl-maybe-exprlist-p x)))
  (let ((__function__ 'vl-maybe-exprlist->subexprs))
    (declare (ignorable __function__))
    (if (atom x)
        nil
      (if (car x)
          (cons (vl-expr-fix (car x))
                (vl-maybe-exprlist->subexprs (cdr x)))
        (vl-maybe-exprlist->subexprs (cdr x))))))

Theorem: vl-exprlist-p-of-vl-maybe-exprlist->subexprs

(defthm vl-exprlist-p-of-vl-maybe-exprlist->subexprs
  (b* ((subexprs (vl-maybe-exprlist->subexprs x)))
    (vl-exprlist-p subexprs))
  :rule-classes :rewrite)

Theorem: vl-exprlist-count-of-vl-maybe-exprlist->subexprs

(defthm vl-exprlist-count-of-vl-maybe-exprlist->subexprs
  (b* ((?subexprs (vl-maybe-exprlist->subexprs x)))
    (<= (vl-exprlist-count subexprs)
        (vl-maybe-exprlist-count x)))
  :rule-classes :linear)

Theorem: vl-maybe-exprlist->subexprs-of-vl-maybe-exprlist-fix-x

(defthm vl-maybe-exprlist->subexprs-of-vl-maybe-exprlist-fix-x
  (equal (vl-maybe-exprlist->subexprs (vl-maybe-exprlist-fix x))
         (vl-maybe-exprlist->subexprs x)))

Theorem: vl-maybe-exprlist->subexprs-vl-maybe-exprlist-equiv-congruence-on-x

(defthm
 vl-maybe-exprlist->subexprs-vl-maybe-exprlist-equiv-congruence-on-x
 (implies (vl-maybe-exprlist-equiv x x-equiv)
          (equal (vl-maybe-exprlist->subexprs x)
                 (vl-maybe-exprlist->subexprs x-equiv)))
 :rule-classes :congruence)