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• Abstract-syntax-rename-fn

Block-item-list-rename-fn

Signature

(block-item-list-rename-fn c$::block-item-list uid new-fn) 
  → 
fty::result

Arguments

c$::block-item-list — Guard (block-item-listp c$::block-item-list).

uid — Guard (c$::uidp uid).

new-fn — Guard (identp new-fn).

Returns

fty::result — Type (block-item-listp fty::result).

Definitions and Theorems

Theorem: block-item-list-rename-fn-type-prescription

(defthm block-item-list-rename-fn-type-prescription
  (true-listp
       (block-item-list-rename-fn c$::block-item-list uid new-fn))
  :rule-classes :type-prescription)

Theorem: block-item-list-rename-fn-when-atom

(defthm block-item-list-rename-fn-when-atom
 (implies
   (atom c$::block-item-list)
   (equal (block-item-list-rename-fn c$::block-item-list uid new-fn)
          nil)))

Theorem: block-item-list-rename-fn-of-cons

(defthm block-item-list-rename-fn-of-cons
 (equal
  (block-item-list-rename-fn
       (cons c$::block-item c$::block-item-list)
       uid new-fn)
  (cons
       (block-item-rename-fn c$::block-item uid new-fn)
       (block-item-list-rename-fn c$::block-item-list uid new-fn))))

Theorem: block-item-list-rename-fn-of-append

(defthm block-item-list-rename-fn-of-append
  (equal (block-item-list-rename-fn (append acl2::x acl2::y)
                                    uid new-fn)
         (append (block-item-list-rename-fn acl2::x uid new-fn)
                 (block-item-list-rename-fn acl2::y uid new-fn))))

Theorem: consp-of-block-item-list-rename-fn

(defthm consp-of-block-item-list-rename-fn
 (equal
  (consp (block-item-list-rename-fn c$::block-item-list uid new-fn))
  (consp c$::block-item-list)))

Theorem: len-of-block-item-list-rename-fn

(defthm len-of-block-item-list-rename-fn
 (equal
    (len (block-item-list-rename-fn c$::block-item-list uid new-fn))
    (len c$::block-item-list)))

Theorem: nth-of-block-item-list-rename-fn

(defthm nth-of-block-item-list-rename-fn
 (equal
    (nth acl2::n
         (block-item-list-rename-fn c$::block-item-list uid new-fn))
    (if (< (nfix acl2::n)
           (len c$::block-item-list))
        (block-item-rename-fn (nth acl2::n c$::block-item-list)
                              uid new-fn)
      nil)))

Theorem: block-item-list-rename-fn-of-revappend

(defthm block-item-list-rename-fn-of-revappend
 (equal (block-item-list-rename-fn (revappend acl2::x acl2::y)
                                   uid new-fn)
        (revappend (block-item-list-rename-fn acl2::x uid new-fn)
                   (block-item-list-rename-fn acl2::y uid new-fn))))

Theorem: block-item-list-rename-fn-of-reverse

(defthm block-item-list-rename-fn-of-reverse
 (equal
  (block-item-list-rename-fn (reverse c$::block-item-list)
                             uid new-fn)
  (reverse
       (block-item-list-rename-fn c$::block-item-list uid new-fn))))