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Faig-fix-equiv

Syntactic equivalence of faigs under faig-fix.

Two objects are faig-fix-equiv if their faig-fixes are equal.

Function: faig-fix-equiv

(defun faig-fix-equiv (x y)
  (and (equal (faig-fix x) (faig-fix y))))

Definitions and Theorems

Function: faig-fix-equiv

(defun faig-fix-equiv (x y)
  (and (equal (faig-fix x) (faig-fix y))))

Theorem: faig-fix-equiv-is-an-equivalence

(defthm faig-fix-equiv-is-an-equivalence
  (and (booleanp (faig-fix-equiv x y))
       (faig-fix-equiv x x)
       (implies (faig-fix-equiv x y)
                (faig-fix-equiv y x))
       (implies (and (faig-fix-equiv x y)
                     (faig-fix-equiv y z))
                (faig-fix-equiv x z)))
  :rule-classes (:equivalence))