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• Blankargs

Vl-gateinstlist-blankargs

Extends vl-gateinst-blankargs across a vl-gateinstlist-p.

Signature

(vl-gateinstlist-blankargs x nf warnings) 
  → 
(mv warnings new-x vardecls nf)

Arguments

x — Guard (vl-gateinstlist-p x).

nf — Guard (vl-namefactory-p nf).

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

Returns

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

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

vardecls — Type (vl-vardecllist-p vardecls).

nf — Type (vl-namefactory-p nf).

Definitions and Theorems

Function: vl-gateinstlist-blankargs

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

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

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

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

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

Theorem: vl-vardecllist-p-of-vl-gateinstlist-blankargs.vardecls

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

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

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

Theorem: vl-gateinstlist-blankargs-mvtypes-1

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

Theorem: vl-gateinstlist-blankargs-mvtypes-2

(defthm vl-gateinstlist-blankargs-mvtypes-2
  (true-listp (mv-nth 2
                      (vl-gateinstlist-blankargs x nf warnings)))
  :rule-classes :type-prescription)

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

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

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

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

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

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

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

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

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

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

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

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