		Search-engine friendly clone of the ACL2 documentation.

Char-value

Char-value->nat

Get the nat field from a char-value.

Signature
(char-value->nat x) → nat
Arguments: x — Guard (char-valuep x).
Returns: nat — Type (ubyte16p nat).

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

Definitions and Theorems

Function: char-value->nat$inline

(defun char-value->nat$inline (x)
  (declare (xargs :guard (char-valuep x)))
  (declare (xargs :guard t))
  (let ((__function__ 'char-value->nat))
    (declare (ignorable __function__))
    (mbe :logic
         (b* ((x (and t x)))
           (acl2::ubyte16-fix (std::da-nth 0 (cdr x))))
         :exec (std::da-nth 0 (cdr x)))))

Theorem: ubyte16p-of-char-value->nat

(defthm ubyte16p-of-char-value->nat
  (b* ((nat (char-value->nat$inline x)))
    (ubyte16p nat))
  :rule-classes :rewrite)

Theorem: char-value->nat$inline-of-char-value-fix-x

(defthm char-value->nat$inline-of-char-value-fix-x
  (equal (char-value->nat$inline (char-value-fix x))
         (char-value->nat$inline x)))

Theorem: char-value->nat$inline-char-value-equiv-congruence-on-x

(defthm char-value->nat$inline-char-value-equiv-congruence-on-x
  (implies (char-value-equiv x x-equiv)
           (equal (char-value->nat$inline x)
                  (char-value->nat$inline x-equiv)))
  :rule-classes :congruence)