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Int->size

Get the size field from a int.

Signature
(int->size x) → size
Arguments: x — Guard (intp x).
Returns: size — Type (bit-size-p size).

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

Definitions and Theorems

Function: int->size$inline

(defun int->size$inline (x)
  (declare (xargs :guard (intp x)))
  (declare (xargs :guard t))
  (let ((__function__ 'int->size))
    (declare (ignorable __function__))
    (mbe :logic
         (b* ((x (and t x)))
           (bit-size-fix (std::da-nth 0 (cdr x))))
         :exec (std::da-nth 0 (cdr x)))))

Theorem: bit-size-p-of-int->size

(defthm bit-size-p-of-int->size
  (b* ((size (int->size$inline x)))
    (bit-size-p size))
  :rule-classes :rewrite)

Theorem: int->size$inline-of-int-fix-x

(defthm int->size$inline-of-int-fix-x
  (equal (int->size$inline (int-fix x))
         (int->size$inline x)))

Theorem: int->size$inline-int-equiv-congruence-on-x

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