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Vl-genblocklist-find-block

Find the block from a generate array corresponding to some index.

Signature

(vl-genblocklist-find-block idx x) → blk

Arguments

idx — Guard (integerp idx).

x — Guard (vl-genblocklist-p x).

Returns

blk — Type (iff (vl-genblock-p blk) blk).

Definitions and Theorems

Function: vl-genblocklist-find-block

(defun vl-genblocklist-find-block (idx x)
  (declare (xargs :guard (and (integerp idx)
                              (vl-genblocklist-p x))))
  (let ((__function__ 'vl-genblocklist-find-block))
    (declare (ignorable __function__))
    (cond ((atom x) nil)
          ((eql (vl-genblock->name (car x))
                (lifix idx))
           (vl-genblock-fix (car x)))
          (t (vl-genblocklist-find-block idx (cdr x))))))

Theorem: return-type-of-vl-genblocklist-find-block

(defthm return-type-of-vl-genblocklist-find-block
  (b* ((blk (vl-genblocklist-find-block idx x)))
    (iff (vl-genblock-p blk) blk))
  :rule-classes :rewrite)

Theorem: vl-genblocklist-find-block-of-ifix-idx

(defthm vl-genblocklist-find-block-of-ifix-idx
  (equal (vl-genblocklist-find-block (ifix idx)
                                     x)
         (vl-genblocklist-find-block idx x)))

Theorem: vl-genblocklist-find-block-int-equiv-congruence-on-idx

(defthm vl-genblocklist-find-block-int-equiv-congruence-on-idx
  (implies (acl2::int-equiv idx idx-equiv)
           (equal (vl-genblocklist-find-block idx x)
                  (vl-genblocklist-find-block idx-equiv x)))
  :rule-classes :congruence)

Theorem: vl-genblocklist-find-block-of-vl-genblocklist-fix-x

(defthm vl-genblocklist-find-block-of-vl-genblocklist-fix-x
  (equal (vl-genblocklist-find-block idx (vl-genblocklist-fix x))
         (vl-genblocklist-find-block idx x)))

Theorem: vl-genblocklist-find-block-vl-genblocklist-equiv-congruence-on-x

(defthm
   vl-genblocklist-find-block-vl-genblocklist-equiv-congruence-on-x
  (implies (vl-genblocklist-equiv x x-equiv)
           (equal (vl-genblocklist-find-block idx x)
                  (vl-genblocklist-find-block idx x-equiv)))
  :rule-classes :congruence)