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Double-value

Double-value->double

Get the double field from a double-value.

Signature
(double-value->double x) → double
Arguments: x — Guard (double-valuep x).
Returns: double — Type (double-value-abs-p double).

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

Definitions and Theorems

Function: double-value->double$inline

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

Theorem: double-value-abs-p-of-double-value->double

(defthm double-value-abs-p-of-double-value->double
  (b* ((double (double-value->double$inline x)))
    (double-value-abs-p double))
  :rule-classes :rewrite)

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

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

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

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