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Selresolve

Vl-initial-selresolve

Signature
(vl-initial-selresolve x ss warnings) → (mv warnings new-x)
Arguments: x — Guard (vl-initial-p x).; ss — Guard (vl-scopestack-p ss).; warnings — Guard (vl-warninglist-p warnings).
Returns: warnings — Type (vl-warninglist-p warnings).; new-x — Type (vl-initial-p new-x).

Definitions and Theorems

Function: vl-initial-selresolve

(defun vl-initial-selresolve (x ss warnings)
  (declare (xargs :guard (and (vl-initial-p x)
                              (vl-scopestack-p ss)
                              (vl-warninglist-p warnings))))
  (declare (ignorable ss))
  (let ((__function__ 'vl-initial-selresolve))
    (declare (ignorable __function__))
    (b* ((x (vl-initial-fix x))
         (warnings (vl-warninglist-fix warnings)))
      (b* (((vl-initial x) x)
           ((mv warnings stmt)
            (vl-stmt-selresolve x.stmt ss warnings)))
        (mv warnings
            (change-vl-initial x :stmt stmt))))))

Theorem: vl-warninglist-p-of-vl-initial-selresolve.warnings

(defthm vl-warninglist-p-of-vl-initial-selresolve.warnings
  (b* (((mv ?warnings ?new-x)
        (vl-initial-selresolve x ss warnings)))
    (vl-warninglist-p warnings))
  :rule-classes :rewrite)

Theorem: vl-initial-p-of-vl-initial-selresolve.new-x

(defthm vl-initial-p-of-vl-initial-selresolve.new-x
  (b* (((mv ?warnings ?new-x)
        (vl-initial-selresolve x ss warnings)))
    (vl-initial-p new-x))
  :rule-classes :rewrite)

Theorem: vl-initial-selresolve-of-vl-initial-fix-x

(defthm vl-initial-selresolve-of-vl-initial-fix-x
  (equal (vl-initial-selresolve (vl-initial-fix x)
                                ss warnings)
         (vl-initial-selresolve x ss warnings)))

Theorem: vl-initial-selresolve-vl-initial-equiv-congruence-on-x

(defthm vl-initial-selresolve-vl-initial-equiv-congruence-on-x
  (implies (vl-initial-equiv x x-equiv)
           (equal (vl-initial-selresolve x ss warnings)
                  (vl-initial-selresolve x-equiv ss warnings)))
  :rule-classes :congruence)

Theorem: vl-initial-selresolve-of-vl-scopestack-fix-ss

(defthm vl-initial-selresolve-of-vl-scopestack-fix-ss
  (equal (vl-initial-selresolve x (vl-scopestack-fix ss)
                                warnings)
         (vl-initial-selresolve x ss warnings)))

Theorem: vl-initial-selresolve-vl-scopestack-equiv-congruence-on-ss

(defthm vl-initial-selresolve-vl-scopestack-equiv-congruence-on-ss
  (implies (vl-scopestack-equiv ss ss-equiv)
           (equal (vl-initial-selresolve x ss warnings)
                  (vl-initial-selresolve x ss-equiv warnings)))
  :rule-classes :congruence)

Theorem: vl-initial-selresolve-of-vl-warninglist-fix-warnings

(defthm vl-initial-selresolve-of-vl-warninglist-fix-warnings
  (equal (vl-initial-selresolve x ss (vl-warninglist-fix warnings))
         (vl-initial-selresolve x ss warnings)))

Theorem: vl-initial-selresolve-vl-warninglist-equiv-congruence-on-warnings

(defthm
  vl-initial-selresolve-vl-warninglist-equiv-congruence-on-warnings
  (implies (vl-warninglist-equiv warnings warnings-equiv)
           (equal (vl-initial-selresolve x ss warnings)
                  (vl-initial-selresolve x ss warnings-equiv)))
  :rule-classes :congruence)