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• Utilities

Explode-list

Coerce a list of strings into a character-list-listp.

Signature

(explode-list x) → ans

Arguments

x — Guard (string-listp x).

Returns

ans — Type (character-list-listp ans).

Definitions and Theorems

Function: explode-list

(defun explode-list (x)
  (declare (xargs :guard (string-listp x)))
  (let ((__function__ 'explode-list))
    (declare (ignorable __function__))
    (if (atom x)
        nil
      (cons (explode (car x))
            (explode-list (cdr x))))))

Theorem: character-list-listp-of-explode-list

(defthm character-list-listp-of-explode-list
  (b* ((ans (explode-list x)))
    (character-list-listp ans))
  :rule-classes :rewrite)

Theorem: explode-list-when-atom

(defthm explode-list-when-atom
  (implies (atom x)
           (equal (explode-list x) nil)))

Theorem: explode-list-of-cons

(defthm explode-list-of-cons
  (equal (explode-list (cons a x))
         (cons (explode a) (explode-list x))))