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• Vl-namefactory-p

Vl-namefactory-namedb-okp

Signature

(vl-namefactory-namedb-okp mod namedb) → *

Arguments

mod — Guard (vl-maybe-module-p mod).

namedb — Guard (vl-namedb-p namedb).

Definitions and Theorems

Function: vl-namefactory-namedb-okp

(defun vl-namefactory-namedb-okp (mod namedb)
  (declare (xargs :guard (and (vl-maybe-module-p mod)
                              (vl-namedb-p namedb))))
  (let ((__function__ 'vl-namefactory-namedb-okp))
    (declare (ignorable __function__))
    (or (not mod)
        (not (vl-namedb->names namedb))
        (subsetp-equal (vl-module->modnamespace mod)
                       (vl-namedb-allnames namedb)))))

Theorem: vl-namefactory-namedb-okp-of-nil

(defthm vl-namefactory-namedb-okp-of-nil
  (vl-namefactory-namedb-okp nil namedb))

Theorem: vl-namefactory-namedb-okp-of-vl-empty-namedb

(defthm vl-namefactory-namedb-okp-of-vl-empty-namedb
  (vl-namefactory-namedb-okp mod (vl-empty-namedb)))

Theorem: vl-namefactory-namedb-okp-of-vl-starting-namedb

(defthm vl-namefactory-namedb-okp-of-vl-starting-namedb
  (vl-namefactory-namedb-okp
       mod
       (vl-starting-namedb (vl-module->modnamespace mod))))

Theorem: vl-namefactory-namedb-okp-of-vl-maybe-module-fix-mod

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

Theorem: vl-namefactory-namedb-okp-vl-maybe-module-equiv-congruence-on-mod

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

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

(defthm vl-namefactory-namedb-okp-of-vl-namedb-fix-namedb
  (equal (vl-namefactory-namedb-okp mod (vl-namedb-fix namedb))
         (vl-namefactory-namedb-okp mod namedb)))

Theorem: vl-namefactory-namedb-okp-vl-namedb-equiv-congruence-on-namedb

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