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Dexpo

Dexpo->digits

Get the digits field from a dexpo.

Signature
(dexpo->digits x) → digits
Arguments: x — Guard (dexpop x).
Returns: digits — Type (dec-digit-char-listp digits).

This is an ordinary field accessor created by fty::defprod.

Definitions and Theorems

Function: dexpo->digits$inline

(defun dexpo->digits$inline (x)
  (declare (xargs :guard (dexpop x)))
  (declare (xargs :guard t))
  (mbe :logic
       (b* ((x (and t x)))
         (str::dec-digit-char-list-fix (cdr (cdr x))))
       :exec (cdr (cdr x))))

Theorem: dec-digit-char-listp-of-dexpo->digits

(defthm dec-digit-char-listp-of-dexpo->digits
  (b* ((digits (dexpo->digits$inline x)))
    (dec-digit-char-listp digits))
  :rule-classes :rewrite)

Theorem: dexpo->digits$inline-of-dexpo-fix-x

(defthm dexpo->digits$inline-of-dexpo-fix-x
  (equal (dexpo->digits$inline (dexpo-fix x))
         (dexpo->digits$inline x)))

Theorem: dexpo->digits$inline-dexpo-equiv-congruence-on-x

(defthm dexpo->digits$inline-dexpo-equiv-congruence-on-x
  (implies (dexpo-equiv x x-equiv)
           (equal (dexpo->digits$inline x)
                  (dexpo->digits$inline x-equiv)))
  :rule-classes :congruence)