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• Replicate-insts

Vl-replicate-gateinstlist

Extend vl-replicate-gateinst across a vl-gateinstlist-p.

Signature

(vl-replicate-gateinstlist x nf ss warnings) 
  → 
(mv warnings new-gateinsts nf)

Arguments

x — Guard (vl-gateinstlist-p x).

nf — Guard (vl-namefactory-p nf).

ss — Guard (vl-scopestack-p ss).

warnings — Guard (vl-warninglist-p warnings).

Returns

warnings — Type (vl-warninglist-p warnings).

new-gateinsts — Replacements for x.
    Type (vl-gateinstlist-p new-gateinsts).

nf — Type (vl-namefactory-p nf).

Definitions and Theorems

Function: vl-replicate-gateinstlist

(defun vl-replicate-gateinstlist (x nf ss warnings)
  (declare (xargs :guard (and (vl-gateinstlist-p x)
                              (vl-namefactory-p nf)
                              (vl-scopestack-p ss)
                              (vl-warninglist-p warnings))))
  (let ((__function__ 'vl-replicate-gateinstlist))
    (declare (ignorable __function__))
    (b* (((when (atom x))
          (mv (ok) nil (vl-namefactory-fix nf)))
         ((mv warnings car-prime nf)
          (vl-replicate-gateinst (car x)
                                 nf ss warnings))
         ((mv warnings cdr-prime nf)
          (vl-replicate-gateinstlist (cdr x)
                                     nf ss warnings))
         (new-gateinsts (append car-prime cdr-prime)))
      (mv warnings new-gateinsts nf))))

Theorem: vl-warninglist-p-of-vl-replicate-gateinstlist.warnings

(defthm vl-warninglist-p-of-vl-replicate-gateinstlist.warnings
  (b* (((mv ?warnings ?new-gateinsts ?nf)
        (vl-replicate-gateinstlist x nf ss warnings)))
    (vl-warninglist-p warnings))
  :rule-classes :rewrite)

Theorem: vl-gateinstlist-p-of-vl-replicate-gateinstlist.new-gateinsts

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

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

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

Theorem: vl-replicate-gateinstlist-mvtypes-1

(defthm vl-replicate-gateinstlist-mvtypes-1
  (true-listp (mv-nth 1
                      (vl-replicate-gateinstlist x nf ss warnings)))
  :rule-classes :type-prescription)

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

(defthm vl-replicate-gateinstlist-of-vl-gateinstlist-fix-x
  (equal (vl-replicate-gateinstlist (vl-gateinstlist-fix x)
                                    nf ss warnings)
         (vl-replicate-gateinstlist x nf ss warnings)))

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

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

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

(defthm vl-replicate-gateinstlist-of-vl-namefactory-fix-nf
  (equal (vl-replicate-gateinstlist x (vl-namefactory-fix nf)
                                    ss warnings)
         (vl-replicate-gateinstlist x nf ss warnings)))

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

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

Theorem: vl-replicate-gateinstlist-of-vl-scopestack-fix-ss

(defthm vl-replicate-gateinstlist-of-vl-scopestack-fix-ss
  (equal (vl-replicate-gateinstlist x nf (vl-scopestack-fix ss)
                                    warnings)
         (vl-replicate-gateinstlist x nf ss warnings)))

Theorem: vl-replicate-gateinstlist-vl-scopestack-equiv-congruence-on-ss

(defthm
     vl-replicate-gateinstlist-vl-scopestack-equiv-congruence-on-ss
  (implies
       (vl-scopestack-equiv ss ss-equiv)
       (equal (vl-replicate-gateinstlist x nf ss warnings)
              (vl-replicate-gateinstlist x nf ss-equiv warnings)))
  :rule-classes :congruence)

Theorem: vl-replicate-gateinstlist-of-vl-warninglist-fix-warnings

(defthm vl-replicate-gateinstlist-of-vl-warninglist-fix-warnings
 (equal
   (vl-replicate-gateinstlist x nf ss (vl-warninglist-fix warnings))
   (vl-replicate-gateinstlist x nf ss warnings)))

Theorem: vl-replicate-gateinstlist-vl-warninglist-equiv-congruence-on-warnings

(defthm
 vl-replicate-gateinstlist-vl-warninglist-equiv-congruence-on-warnings
 (implies
      (vl-warninglist-equiv warnings warnings-equiv)
      (equal (vl-replicate-gateinstlist x nf ss warnings)
             (vl-replicate-gateinstlist x nf ss warnings-equiv)))
 :rule-classes :congruence)