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• Vl-namefactory-p

Vl-namefactory-namedb-fix

Signature

(vl-namefactory-namedb-fix mod namedb) → new-db

Arguments

mod — Guard (vl-maybe-module-p mod).

namedb — Guard (vl-namedb-p namedb).

Returns

new-db — Type (and (vl-namedb-p new-db) (vl-namefactory-namedb-okp mod new-db)).

Definitions and Theorems

Function: vl-namefactory-namedb-fix$inline

(defun vl-namefactory-namedb-fix$inline (mod namedb)
  (declare (xargs :guard (and (vl-maybe-module-p mod)
                              (vl-namedb-p namedb))))
  (declare (xargs :guard (vl-namefactory-namedb-okp mod namedb)))
  (let ((__function__ 'vl-namefactory-namedb-fix))
    (declare (ignorable __function__))
    (mbe :logic
         (b* ((mod (vl-maybe-module-fix mod))
              (namedb (vl-namedb-fix namedb)))
           (if (vl-namefactory-namedb-okp mod namedb)
               namedb
             (vl-empty-namedb)))
         :exec namedb)))

Theorem: return-type-of-vl-namefactory-namedb-fix

(defthm return-type-of-vl-namefactory-namedb-fix
  (b* ((new-db (vl-namefactory-namedb-fix$inline mod namedb)))
    (and (vl-namedb-p new-db)
         (vl-namefactory-namedb-okp mod new-db)))
  :rule-classes :rewrite)

Theorem: vl-namefactory-namedb-fix-when-vl-namefactory-namedb-okp

(defthm vl-namefactory-namedb-fix-when-vl-namefactory-namedb-okp
  (implies (vl-namefactory-namedb-okp mod namedb)
           (equal (vl-namefactory-namedb-fix mod namedb)
                  (vl-namedb-fix namedb))))

Theorem: vl-namefactory-namedb-fix$inline-of-vl-maybe-module-fix-mod

(defthm vl-namefactory-namedb-fix$inline-of-vl-maybe-module-fix-mod
  (equal (vl-namefactory-namedb-fix$inline (vl-maybe-module-fix mod)
                                           namedb)
         (vl-namefactory-namedb-fix$inline mod namedb)))

Theorem: vl-namefactory-namedb-fix$inline-vl-maybe-module-equiv-congruence-on-mod

(defthm
 vl-namefactory-namedb-fix$inline-vl-maybe-module-equiv-congruence-on-mod
 (implies
      (vl-maybe-module-equiv mod mod-equiv)
      (equal (vl-namefactory-namedb-fix$inline mod namedb)
             (vl-namefactory-namedb-fix$inline mod-equiv namedb)))
 :rule-classes :congruence)

Theorem: vl-namefactory-namedb-fix$inline-of-vl-namedb-fix-namedb

(defthm vl-namefactory-namedb-fix$inline-of-vl-namedb-fix-namedb
  (equal
       (vl-namefactory-namedb-fix$inline mod (vl-namedb-fix namedb))
       (vl-namefactory-namedb-fix$inline mod namedb)))

Theorem: vl-namefactory-namedb-fix$inline-vl-namedb-equiv-congruence-on-namedb

(defthm
 vl-namefactory-namedb-fix$inline-vl-namedb-equiv-congruence-on-namedb
 (implies
      (vl-namedb-equiv namedb namedb-equiv)
      (equal (vl-namefactory-namedb-fix$inline mod namedb)
             (vl-namefactory-namedb-fix$inline mod namedb-equiv)))
 :rule-classes :congruence)