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Vl-find-module

Naive, O(n) lookup of a vl-module in a list by its name.

Signature
(vl-find-module name x) → module?
Arguments: name — Guard (stringp name).; x — Guard (vl-modulelist-p x).
Returns: module? — Type (iff (vl-module-p module?) module?).

Definitions and Theorems

Function: vl-find-module

(defun vl-find-module (name x)
  (declare (xargs :guard (and (stringp name)
                              (vl-modulelist-p x))))
  (let ((__function__ 'vl-find-module))
    (declare (ignorable __function__))
    (cond ((atom x) nil)
          ((equal (string-fix name)
                  (vl-module->name (car x)))
           (vl-module-fix (car x)))
          (t (vl-find-module name (cdr x))))))

Theorem: return-type-of-vl-find-module

(defthm return-type-of-vl-find-module
  (b* ((module? (vl-find-module name x)))
    (iff (vl-module-p module?) module?))
  :rule-classes :rewrite)

Theorem: vl-find-module-under-iff

(defthm vl-find-module-under-iff
  (iff (vl-find-module name x)
       (member-equal (string-fix name)
                     (vl-modulelist->names x))))

Theorem: vl-module->name-of-vl-find-module

(defthm vl-module->name-of-vl-find-module
  (implies (vl-find-module name x)
           (equal (vl-module->name (vl-find-module name x))
                  (string-fix name))))

Theorem: tag-of-vl-find-module

(defthm tag-of-vl-find-module
  (equal (tag (vl-find-module name x))
         (if (vl-find-module name x)
             :vl-module
           nil)))

Theorem: member-equal-of-vl-find-module

(defthm member-equal-of-vl-find-module
  (implies (force (vl-modulelist-p x))
           (iff (member-equal (vl-find-module name x) x)
                (vl-find-module name x))))

Theorem: consp-of-vl-find-module-when-member-equal

(defthm consp-of-vl-find-module-when-member-equal
  (implies (and (member-equal name (vl-modulelist->names x))
                (force (stringp name)))
           (consp (vl-find-module name x))))

Theorem: vl-find-module-of-str-fix-name

(defthm vl-find-module-of-str-fix-name
  (equal (vl-find-module (str-fix name) x)
         (vl-find-module name x)))

Theorem: vl-find-module-streqv-congruence-on-name

(defthm vl-find-module-streqv-congruence-on-name
  (implies (streqv name name-equiv)
           (equal (vl-find-module name x)
                  (vl-find-module name-equiv x)))
  :rule-classes :congruence)

Theorem: vl-find-module-of-vl-modulelist-fix-x

(defthm vl-find-module-of-vl-modulelist-fix-x
  (equal (vl-find-module name (vl-modulelist-fix x))
         (vl-find-module name x)))

Theorem: vl-find-module-vl-modulelist-equiv-congruence-on-x

(defthm vl-find-module-vl-modulelist-equiv-congruence-on-x
  (implies (vl-modulelist-equiv x x-equiv)
           (equal (vl-find-module name x)
                  (vl-find-module name x-equiv)))
  :rule-classes :congruence)