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• Base58

Base58-chars=>vals

Lift base58-char=>val to lists.

Signature

(base58-chars=>vals chars) → vals

Arguments

chars — Guard (base58-character-listp chars).

Returns

vals — Type (base58-value-listp vals).

Definitions and Theorems

Function: base58-chars=>vals

(defun base58-chars=>vals (chars)
  (declare (xargs :guard (base58-character-listp chars)))
  (let ((__function__ 'base58-chars=>vals))
    (declare (ignorable __function__))
    (cond ((endp chars) nil)
          (t (cons (base58-char=>val (car chars))
                   (base58-chars=>vals (cdr chars)))))))

Theorem: base58-value-listp-of-base58-chars=>vals

(defthm base58-value-listp-of-base58-chars=>vals
  (b* ((vals (base58-chars=>vals chars)))
    (base58-value-listp vals))
  :rule-classes :rewrite)

Theorem: len-of-base58-chars=>vals

(defthm len-of-base58-chars=>vals
  (equal (len (base58-chars=>vals chars))
         (len chars)))

Theorem: base58-chars=>vals-of-append

(defthm base58-chars=>vals-of-append
  (equal (base58-chars=>vals (append chars1 chars2))
         (append (base58-chars=>vals chars1)
                 (base58-chars=>vals chars2))))

Theorem: base58-chars=>vals-of-repeat

(defthm base58-chars=>vals-of-repeat
  (equal (base58-chars=>vals (repeat n char))
         (repeat n (base58-char=>val char))))

Theorem: base58-chars=>vals-of-base58-character-list-fix-chars

(defthm base58-chars=>vals-of-base58-character-list-fix-chars
  (equal (base58-chars=>vals (base58-character-list-fix chars))
         (base58-chars=>vals chars)))

Theorem: base58-chars=>vals-base58-character-list-equiv-congruence-on-chars

(defthm
 base58-chars=>vals-base58-character-list-equiv-congruence-on-chars
 (implies (base58-character-list-equiv chars chars-equiv)
          (equal (base58-chars=>vals chars)
                 (base58-chars=>vals chars-equiv)))
 :rule-classes :congruence)

Subtopics

Base58-vals<=>chars-inverses-theorems

base58-vals=>chars and base58-chars=>vals are mutual inverses.