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Hex-digit

Hex-digit->get

Get the get field from a hex-digit.

Signature
(hex-digit->get x) → get
Arguments: x — Guard (hex-digitp x).
Returns: get — Type (str::hex-digit-char-p get).

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

Definitions and Theorems

Function: hex-digit->get$inline

(defun hex-digit->get$inline (x)
  (declare (xargs :guard (hex-digitp x)))
  (declare (xargs :guard t))
  (let ((__function__ 'hex-digit->get))
    (declare (ignorable __function__))
    (mbe :logic
         (b* ((x (and t x)))
           (str::hex-digit-char-fix (cdr (std::da-nth 0 (cdr x)))))
         :exec (cdr (std::da-nth 0 (cdr x))))))

Theorem: hex-digit-char-p-of-hex-digit->get

(defthm hex-digit-char-p-of-hex-digit->get
  (b* ((get (hex-digit->get$inline x)))
    (str::hex-digit-char-p get))
  :rule-classes :rewrite)

Theorem: hex-digit->get$inline-of-hex-digit-fix-x

(defthm hex-digit->get$inline-of-hex-digit-fix-x
  (equal (hex-digit->get$inline (hex-digit-fix x))
         (hex-digit->get$inline x)))

Theorem: hex-digit->get$inline-hex-digit-equiv-congruence-on-x

(defthm hex-digit->get$inline-hex-digit-equiv-congruence-on-x
  (implies (hex-digit-equiv x x-equiv)
           (equal (hex-digit->get$inline x)
                  (hex-digit->get$inline x-equiv)))
  :rule-classes :congruence)