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• Addinstnames

Vl-gateinstlist-addinstnames

Name unnamed gate instances.

Signature

(vl-gateinstlist-addinstnames x nf) → (mv new-x nf)

Arguments

x — Guard (vl-gateinstlist-p x).

nf — Guard (vl-namefactory-p nf).

Returns

new-x — Type (vl-gateinstlist-p new-x).

nf — Type (vl-namefactory-p nf).

Definitions and Theorems

Function: vl-gateinstlist-addinstnames

(defun vl-gateinstlist-addinstnames (x nf)
  (declare (xargs :guard (and (vl-gateinstlist-p x)
                              (vl-namefactory-p nf))))
  (let ((__function__ 'vl-gateinstlist-addinstnames))
    (declare (ignorable __function__))
    (b* (((when (atom x))
          (mv x (vl-namefactory-fix nf)))
         ((mv car nf)
          (vl-gateinst-addinstnames (car x) nf))
         ((mv cdr nf)
          (vl-gateinstlist-addinstnames (cdr x)
                                        nf)))
      (mv (cons car cdr) nf))))

Theorem: vl-gateinstlist-p-of-vl-gateinstlist-addinstnames.new-x

(defthm vl-gateinstlist-p-of-vl-gateinstlist-addinstnames.new-x
  (b* (((mv ?new-x ?nf)
        (vl-gateinstlist-addinstnames x nf)))
    (vl-gateinstlist-p new-x))
  :rule-classes :rewrite)

Theorem: vl-namefactory-p-of-vl-gateinstlist-addinstnames.nf

(defthm vl-namefactory-p-of-vl-gateinstlist-addinstnames.nf
  (b* (((mv ?new-x ?nf)
        (vl-gateinstlist-addinstnames x nf)))
    (vl-namefactory-p nf))
  :rule-classes :rewrite)

Theorem: vl-gateinstlist-addinstnames-of-vl-gateinstlist-fix-x

(defthm vl-gateinstlist-addinstnames-of-vl-gateinstlist-fix-x
  (equal (vl-gateinstlist-addinstnames (vl-gateinstlist-fix x)
                                       nf)
         (vl-gateinstlist-addinstnames x nf)))

Theorem: vl-gateinstlist-addinstnames-vl-gateinstlist-equiv-congruence-on-x

(defthm
 vl-gateinstlist-addinstnames-vl-gateinstlist-equiv-congruence-on-x
 (implies (vl-gateinstlist-equiv x x-equiv)
          (equal (vl-gateinstlist-addinstnames x nf)
                 (vl-gateinstlist-addinstnames x-equiv nf)))
 :rule-classes :congruence)

Theorem: vl-gateinstlist-addinstnames-of-vl-namefactory-fix-nf

(defthm vl-gateinstlist-addinstnames-of-vl-namefactory-fix-nf
  (equal (vl-gateinstlist-addinstnames x (vl-namefactory-fix nf))
         (vl-gateinstlist-addinstnames x nf)))

Theorem: vl-gateinstlist-addinstnames-vl-namefactory-equiv-congruence-on-nf

(defthm
 vl-gateinstlist-addinstnames-vl-namefactory-equiv-congruence-on-nf
 (implies (vl-namefactory-equiv nf nf-equiv)
          (equal (vl-gateinstlist-addinstnames x nf)
                 (vl-gateinstlist-addinstnames x nf-equiv)))
 :rule-classes :congruence)