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• Abstract-syntax-replace-field-access

Decl-spec-list-replace-field-access

Signature

(decl-spec-list-replace-field-access 
     c$::decl-spec-list original 
     linkage new1 new2 split-members) 
 
  → 
fty::result

Arguments

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

original — Guard (identp original).

linkage — Guard (c$::linkagep linkage).

new1 — Guard (identp new1).

new2 — Guard (identp new2).

split-members — Guard (ident-listp split-members).

Returns

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

Definitions and Theorems

Theorem: decl-spec-list-replace-field-access-type-prescription

(defthm decl-spec-list-replace-field-access-type-prescription
  (true-listp (decl-spec-list-replace-field-access
                   c$::decl-spec-list original
                   linkage new1 new2 split-members))
  :rule-classes :type-prescription)

Theorem: decl-spec-list-replace-field-access-when-atom

(defthm decl-spec-list-replace-field-access-when-atom
  (implies (atom c$::decl-spec-list)
           (equal (decl-spec-list-replace-field-access
                       c$::decl-spec-list original
                       linkage new1 new2 split-members)
                  nil)))

Theorem: decl-spec-list-replace-field-access-of-cons

(defthm decl-spec-list-replace-field-access-of-cons
 (equal
  (decl-spec-list-replace-field-access
       (cons c$::decl-spec c$::decl-spec-list)
       original
       linkage new1 new2 split-members)
  (cons
    (decl-spec-replace-field-access c$::decl-spec original
                                    linkage new1 new2 split-members)
    (decl-spec-list-replace-field-access
         c$::decl-spec-list original
         linkage new1 new2 split-members))))

Theorem: decl-spec-list-replace-field-access-of-append

(defthm decl-spec-list-replace-field-access-of-append
  (equal (decl-spec-list-replace-field-access
              (append acl2::x acl2::y)
              original
              linkage new1 new2 split-members)
         (append (decl-spec-list-replace-field-access
                      acl2::x original
                      linkage new1 new2 split-members)
                 (decl-spec-list-replace-field-access
                      acl2::y original
                      linkage new1 new2 split-members))))

Theorem: consp-of-decl-spec-list-replace-field-access

(defthm consp-of-decl-spec-list-replace-field-access
  (equal (consp (decl-spec-list-replace-field-access
                     c$::decl-spec-list original
                     linkage new1 new2 split-members))
         (consp c$::decl-spec-list)))

Theorem: len-of-decl-spec-list-replace-field-access

(defthm len-of-decl-spec-list-replace-field-access
  (equal (len (decl-spec-list-replace-field-access
                   c$::decl-spec-list original
                   linkage new1 new2 split-members))
         (len c$::decl-spec-list)))

Theorem: nth-of-decl-spec-list-replace-field-access

(defthm nth-of-decl-spec-list-replace-field-access
 (equal
   (nth acl2::n
        (decl-spec-list-replace-field-access
             c$::decl-spec-list original
             linkage new1 new2 split-members))
   (if
    (< (nfix acl2::n)
       (len c$::decl-spec-list))
    (decl-spec-replace-field-access (nth acl2::n c$::decl-spec-list)
                                    original
                                    linkage new1 new2 split-members)
    nil)))

Theorem: decl-spec-list-replace-field-access-of-revappend

(defthm decl-spec-list-replace-field-access-of-revappend
  (equal (decl-spec-list-replace-field-access
              (revappend acl2::x acl2::y)
              original
              linkage new1 new2 split-members)
         (revappend (decl-spec-list-replace-field-access
                         acl2::x original
                         linkage new1 new2 split-members)
                    (decl-spec-list-replace-field-access
                         acl2::y original
                         linkage new1 new2 split-members))))

Theorem: decl-spec-list-replace-field-access-of-reverse

(defthm decl-spec-list-replace-field-access-of-reverse
  (equal (decl-spec-list-replace-field-access
              (reverse c$::decl-spec-list)
              original
              linkage new1 new2 split-members)
         (reverse (decl-spec-list-replace-field-access
                       c$::decl-spec-list original
                       linkage new1 new2 split-members))))