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• Abstract-syntax-rename

Enumer-list-rename

Signature

(enumer-list-rename c$::enumer-list subst) → fty::result

Arguments

c$::enumer-list — Guard (enumer-listp c$::enumer-list).

subst — Guard (ident-ident-alistp subst).

Returns

fty::result — Type (enumer-listp fty::result).

Definitions and Theorems

Theorem: enumer-list-rename-type-prescription

(defthm enumer-list-rename-type-prescription
  (true-listp (enumer-list-rename c$::enumer-list subst))
  :rule-classes :type-prescription)

Theorem: enumer-list-rename-when-atom

(defthm enumer-list-rename-when-atom
  (implies (atom c$::enumer-list)
           (equal (enumer-list-rename c$::enumer-list subst)
                  nil)))

Theorem: enumer-list-rename-of-cons

(defthm enumer-list-rename-of-cons
  (equal (enumer-list-rename (cons enumer c$::enumer-list)
                             subst)
         (cons (enumer-rename enumer subst)
               (enumer-list-rename c$::enumer-list subst))))

Theorem: enumer-list-rename-of-append

(defthm enumer-list-rename-of-append
  (equal (enumer-list-rename (append acl2::x acl2::y)
                             subst)
         (append (enumer-list-rename acl2::x subst)
                 (enumer-list-rename acl2::y subst))))

Theorem: consp-of-enumer-list-rename

(defthm consp-of-enumer-list-rename
  (equal (consp (enumer-list-rename c$::enumer-list subst))
         (consp c$::enumer-list)))

Theorem: len-of-enumer-list-rename

(defthm len-of-enumer-list-rename
  (equal (len (enumer-list-rename c$::enumer-list subst))
         (len c$::enumer-list)))

Theorem: nth-of-enumer-list-rename

(defthm nth-of-enumer-list-rename
  (equal (nth acl2::n
              (enumer-list-rename c$::enumer-list subst))
         (if (< (nfix acl2::n) (len c$::enumer-list))
             (enumer-rename (nth acl2::n c$::enumer-list)
                            subst)
           nil)))

Theorem: enumer-list-rename-of-revappend

(defthm enumer-list-rename-of-revappend
  (equal (enumer-list-rename (revappend acl2::x acl2::y)
                             subst)
         (revappend (enumer-list-rename acl2::x subst)
                    (enumer-list-rename acl2::y subst))))

Theorem: enumer-list-rename-of-reverse

(defthm enumer-list-rename-of-reverse
  (equal (enumer-list-rename (reverse c$::enumer-list)
                             subst)
         (reverse (enumer-list-rename c$::enumer-list subst))))