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• Abstract-syntax-rename

Decl-list-rename

Signature

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

Arguments

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

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

Returns

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

Definitions and Theorems

Theorem: decl-list-rename-type-prescription

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

Theorem: decl-list-rename-when-atom

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

Theorem: decl-list-rename-of-cons

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

Theorem: decl-list-rename-of-append

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

Theorem: consp-of-decl-list-rename

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

Theorem: len-of-decl-list-rename

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

Theorem: nth-of-decl-list-rename

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

Theorem: decl-list-rename-of-revappend

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

Theorem: decl-list-rename-of-reverse

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