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• Abstract-syntax-rename

Asm-output-list-rename

Signature

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

Arguments

c$::asm-output-list — Guard (c$::asm-output-listp c$::asm-output-list).

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

Returns

fty::result — Type (c$::asm-output-listp fty::result).

Definitions and Theorems

Theorem: asm-output-list-rename-type-prescription

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

Theorem: asm-output-list-rename-when-atom

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

Theorem: asm-output-list-rename-of-cons

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

Theorem: asm-output-list-rename-of-append

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

Theorem: consp-of-asm-output-list-rename

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

Theorem: len-of-asm-output-list-rename

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

Theorem: nth-of-asm-output-list-rename

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

Theorem: asm-output-list-rename-of-revappend

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

Theorem: asm-output-list-rename-of-reverse

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