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• Alist-map-keys

Alist-map-keys-functions-and-macros

Definitions of the alist-map-keys functions and macros, and basic theorems about them.

Definitions and Theorems

Function: alist-map-keys-equal

(defun alist-map-keys-equal (alist)
  (declare (xargs :guard (alistp alist)))
  (cond ((endp alist) nil)
        (t (let ((key (caar alist)))
             (cons key
                   (alist-map-keys-equal
                        (remove-assoc-equal key (cdr alist))))))))

Function: alist-map-keys-eq-exec$guard-check

(defun alist-map-keys-eq-exec$guard-check (alist)
  (declare (xargs :guard (symbol-alistp alist)))
  (declare (ignore alist))
  t)

Function: alist-map-keys-eq-exec

(defun alist-map-keys-eq-exec (alist)
 (declare (xargs :guard (symbol-alistp alist)))
 (cond
  ((endp alist) nil)
  (t
   (let ((key (caar alist)))
    (cons
     key
     (alist-map-keys-eq-exec (remove-assoc-eq key (cdr alist))))))))

Function: alist-map-keys-eql-exec$guard-check

(defun alist-map-keys-eql-exec$guard-check (alist)
  (declare (xargs :guard (eqlable-alistp alist)))
  (declare (ignore alist))
  t)

Function: alist-map-keys-eql-exec

(defun alist-map-keys-eql-exec (alist)
 (declare (xargs :guard (eqlable-alistp alist)))
 (cond ((endp alist) nil)
       (t (let ((key (caar alist)))
            (cons key
                  (alist-map-keys-eql-exec
                       (remove-assoc-eql-exec key (cdr alist))))))))

Theorem: alist-map-keys-eq-exec-is-alist-map-keys-equal

(defthm alist-map-keys-eq-exec-is-alist-map-keys-equal
  (equal (alist-map-keys-eq-exec alist)
         (alist-map-keys-equal alist)))

Theorem: alist-map-keys-eql-exec-is-alist-map-keys-equal

(defthm alist-map-keys-eql-exec-is-alist-map-keys-equal
  (equal (alist-map-keys-eql-exec alist)
         (alist-map-keys-equal alist)))