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• Abstract-syntax-rename-fn

Attrib-spec-list-rename-fn

Signature

(attrib-spec-list-rename-fn c$::attrib-spec-list uid new-fn) 
  → 
fty::result

Arguments

c$::attrib-spec-list — Guard (attrib-spec-listp c$::attrib-spec-list).

uid — Guard (c$::uidp uid).

new-fn — Guard (identp new-fn).

Returns

fty::result — Type (attrib-spec-listp fty::result).

Definitions and Theorems

Theorem: attrib-spec-list-rename-fn-type-prescription

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

Theorem: attrib-spec-list-rename-fn-when-atom

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

Theorem: attrib-spec-list-rename-fn-of-cons

(defthm attrib-spec-list-rename-fn-of-cons
 (equal
  (attrib-spec-list-rename-fn
       (cons c$::attrib-spec c$::attrib-spec-list)
       uid new-fn)
  (cons
     (attrib-spec-rename-fn c$::attrib-spec uid new-fn)
     (attrib-spec-list-rename-fn c$::attrib-spec-list uid new-fn))))

Theorem: attrib-spec-list-rename-fn-of-append

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

Theorem: consp-of-attrib-spec-list-rename-fn

(defthm consp-of-attrib-spec-list-rename-fn
 (equal
  (consp
       (attrib-spec-list-rename-fn c$::attrib-spec-list uid new-fn))
  (consp c$::attrib-spec-list)))

Theorem: len-of-attrib-spec-list-rename-fn

(defthm len-of-attrib-spec-list-rename-fn
 (equal
  (len (attrib-spec-list-rename-fn c$::attrib-spec-list uid new-fn))
  (len c$::attrib-spec-list)))

Theorem: nth-of-attrib-spec-list-rename-fn

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

Theorem: attrib-spec-list-rename-fn-of-revappend

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

Theorem: attrib-spec-list-rename-fn-of-reverse

(defthm attrib-spec-list-rename-fn-of-reverse
 (equal
  (attrib-spec-list-rename-fn (reverse c$::attrib-spec-list)
                              uid new-fn)
  (reverse
     (attrib-spec-list-rename-fn c$::attrib-spec-list uid new-fn))))