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Vl-namedb-pset-okp

Signature

(vl-namedb-pset-okp pmap pset) → *

Arguments

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

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

Definitions and Theorems

Function: vl-namedb-pset-okp

(defun vl-namedb-pset-okp (pmap pset)
  (declare (xargs :guard (and (vl-namedb-prefixmap-p pmap)
                              (vl-namedb-nameset-p pset))))
  (let ((__function__ 'vl-namedb-pset-okp))
    (declare (ignorable __function__))
    (b* ((pmap (vl-namedb-prefixmap-fix pmap))
         (pset (vl-namedb-nameset-fix pset)))
      (set-equiv (alist-keys pset)
                 (alist-keys pmap)))))

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

(defthm vl-namedb-pset-okp-of-vl-namedb-prefixmap-fix-pmap
  (equal (vl-namedb-pset-okp (vl-namedb-prefixmap-fix pmap)
                             pset)
         (vl-namedb-pset-okp pmap pset)))

Theorem: vl-namedb-pset-okp-vl-namedb-prefixmap-equiv-congruence-on-pmap

(defthm
    vl-namedb-pset-okp-vl-namedb-prefixmap-equiv-congruence-on-pmap
  (implies (vl-namedb-prefixmap-equiv pmap pmap-equiv)
           (equal (vl-namedb-pset-okp pmap pset)
                  (vl-namedb-pset-okp pmap-equiv pset)))
  :rule-classes :congruence)

Theorem: vl-namedb-pset-okp-of-vl-namedb-nameset-fix-pset

(defthm vl-namedb-pset-okp-of-vl-namedb-nameset-fix-pset
  (equal (vl-namedb-pset-okp pmap (vl-namedb-nameset-fix pset))
         (vl-namedb-pset-okp pmap pset)))

Theorem: vl-namedb-pset-okp-vl-namedb-nameset-equiv-congruence-on-pset

(defthm
      vl-namedb-pset-okp-vl-namedb-nameset-equiv-congruence-on-pset
  (implies (vl-namedb-nameset-equiv pset pset-equiv)
           (equal (vl-namedb-pset-okp pmap pset)
                  (vl-namedb-pset-okp pmap pset-equiv)))
  :rule-classes :congruence)