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Vl-namedb-pmap-fix

Signature

(vl-namedb-pmap-fix names pmap) → pmap-fix

Arguments

names — Guard (vl-namedb-nameset-p names).

pmap — Guard (vl-namedb-prefixmap-p pmap).

Returns

pmap-fix — Type (and (vl-namedb-prefixmap-p pmap-fix) (vl-namedb-pmap-okp names pmap-fix)) .

Definitions and Theorems

Function: vl-namedb-pmap-fix$inline

(defun vl-namedb-pmap-fix$inline (names pmap)
  (declare (xargs :guard (and (vl-namedb-nameset-p names)
                              (vl-namedb-prefixmap-p pmap))))
  (declare (xargs :guard (vl-namedb-pmap-okp names pmap)))
  (let ((__function__ 'vl-namedb-pmap-fix))
    (declare (ignorable __function__))
    (mbe :logic
         (b* ((names (vl-namedb-nameset-fix names))
              (pmap (vl-namedb-prefixmap-fix pmap)))
           (if (vl-namedb-pmap-okp names pmap)
               pmap
             nil))
         :exec pmap)))

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

(defthm return-type-of-vl-namedb-pmap-fix
  (b* ((pmap-fix (vl-namedb-pmap-fix$inline names pmap)))
    (and (vl-namedb-prefixmap-p pmap-fix)
         (vl-namedb-pmap-okp names pmap-fix)))
  :rule-classes :rewrite)

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

(defthm vl-namedb-pmap-fix-when-vl-namedb-pmap-okp
  (implies (vl-namedb-pmap-okp names pmap)
           (equal (vl-namedb-pmap-fix names pmap)
                  (vl-namedb-prefixmap-fix pmap))))

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

(defthm vl-namedb-pmap-okp-of-vl-namedb-pmap-fix
  (implies
       (vl-namedb-nameset-p names)
       (vl-namedb-pmap-okp names (vl-namedb-pmap-fix names pmap))))

Theorem: vl-namedb-pmap-fix$inline-of-vl-namedb-nameset-fix-names

(defthm vl-namedb-pmap-fix$inline-of-vl-namedb-nameset-fix-names
  (equal (vl-namedb-pmap-fix$inline (vl-namedb-nameset-fix names)
                                    pmap)
         (vl-namedb-pmap-fix$inline names pmap)))

Theorem: vl-namedb-pmap-fix$inline-vl-namedb-nameset-equiv-congruence-on-names

(defthm
 vl-namedb-pmap-fix$inline-vl-namedb-nameset-equiv-congruence-on-names
 (implies (vl-namedb-nameset-equiv names names-equiv)
          (equal (vl-namedb-pmap-fix$inline names pmap)
                 (vl-namedb-pmap-fix$inline names-equiv pmap)))
 :rule-classes :congruence)

Theorem: vl-namedb-pmap-fix$inline-of-vl-namedb-prefixmap-fix-pmap

(defthm vl-namedb-pmap-fix$inline-of-vl-namedb-prefixmap-fix-pmap
 (equal
    (vl-namedb-pmap-fix$inline names (vl-namedb-prefixmap-fix pmap))
    (vl-namedb-pmap-fix$inline names pmap)))

Theorem: vl-namedb-pmap-fix$inline-vl-namedb-prefixmap-equiv-congruence-on-pmap

(defthm
 vl-namedb-pmap-fix$inline-vl-namedb-prefixmap-equiv-congruence-on-pmap
 (implies (vl-namedb-prefixmap-equiv pmap pmap-equiv)
          (equal (vl-namedb-pmap-fix$inline names pmap)
                 (vl-namedb-pmap-fix$inline names pmap-equiv)))
 :rule-classes :congruence)