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Vl-elabscopes-root/update

Signature

(vl-elabscopes-root/update scopes) → (mv new-scopes undo)

Arguments

scopes — Guard (vl-elabscopes-p scopes).

Returns

new-scopes — Type (vl-elabscopes-p new-scopes).

undo — Reversed elabpath that undoes this traversal.
    Type (vl-elabtraversal-p undo).

Definitions and Theorems

Function: vl-elabscopes-root/update

(defun vl-elabscopes-root/update (scopes)
  (declare (xargs :guard (vl-elabscopes-p scopes)))
  (let ((__function__ 'vl-elabscopes-root/update))
    (declare (ignorable __function__))
    (b* ((scopes (vl-elabscopes-fix scopes))
         ((when (atom scopes))
          (raise "Can't get root scope of empty elabscopes")
          (mv scopes nil))
         ((when (atom (cdr scopes)))
          (mv scopes nil))
         ((mv scopes undo1)
          (vl-elabscopes-pop/update-one scopes))
         ((mv scopes undo2)
          (vl-elabscopes-root/update scopes)))
      (mv scopes
          (vl-elabpaths-append undo1 undo2)))))

Theorem: vl-elabscopes-p-of-vl-elabscopes-root/update.new-scopes

(defthm vl-elabscopes-p-of-vl-elabscopes-root/update.new-scopes
  (b* (((mv ?new-scopes ?undo)
        (vl-elabscopes-root/update scopes)))
    (vl-elabscopes-p new-scopes))
  :rule-classes :rewrite)

Theorem: vl-elabtraversal-p-of-vl-elabscopes-root/update.undo

(defthm vl-elabtraversal-p-of-vl-elabscopes-root/update.undo
  (b* (((mv ?new-scopes ?undo)
        (vl-elabscopes-root/update scopes)))
    (vl-elabtraversal-p undo))
  :rule-classes :rewrite)

Theorem: vl-elabscopes-root/update-of-vl-elabscopes-fix-scopes

(defthm vl-elabscopes-root/update-of-vl-elabscopes-fix-scopes
  (equal (vl-elabscopes-root/update (vl-elabscopes-fix scopes))
         (vl-elabscopes-root/update scopes)))

Theorem: vl-elabscopes-root/update-vl-elabscopes-equiv-congruence-on-scopes

(defthm
 vl-elabscopes-root/update-vl-elabscopes-equiv-congruence-on-scopes
 (implies (vl-elabscopes-equiv scopes scopes-equiv)
          (equal (vl-elabscopes-root/update scopes)
                 (vl-elabscopes-root/update scopes-equiv)))
 :rule-classes :congruence)