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Bexpo

Bexpo->digits

Get the digits field from a bexpo.

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

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

Definitions and Theorems

Function: bexpo->digits$inline

(defun bexpo->digits$inline (x)
  (declare (xargs :guard (bexpop 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-bexpo->digits

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

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

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

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

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