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Uint

Uint->value

Get the value field from a uint.

Signature
(uint->value x) → value
Arguments: x — Guard (uintp x).
Returns: value — Type (natp value).

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

Definitions and Theorems

Function: uint->value$inline

(defun uint->value$inline (x)
  (declare (xargs :guard (uintp x)))
  (declare (xargs :guard t))
  (let ((__function__ 'uint->value))
    (declare (ignorable __function__))
    (mbe :logic
         (b* ((x (and t x))
              (size (bit-size-fix (std::da-nth 0 (cdr x))))
              (value (nfix (std::da-nth 1 (cdr x)))))
           (unsigned-byte-fix size value))
         :exec (std::da-nth 1 (cdr x)))))

Theorem: natp-of-uint->value

(defthm natp-of-uint->value
  (b* ((value (uint->value$inline x)))
    (natp value))
  :rule-classes :rewrite)

Theorem: uint->value$inline-of-uint-fix-x

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

Theorem: uint->value$inline-uint-equiv-congruence-on-x

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