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Numeric-value-double

Numeric-value-double->get

Get the get field from a numeric-value-double.

Signature
(numeric-value-double->get acl2::x) → get
Arguments: acl2::x — Guard (numeric-valuep acl2::x).
Returns: get — Type (double-valuep get).

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

Definitions and Theorems

Function: numeric-value-double->get$inline

(defun numeric-value-double->get$inline (acl2::x)
  (declare (xargs :guard (numeric-valuep acl2::x)))
  (declare (xargs :guard (equal (numeric-value-kind acl2::x)
                                :double)))
  (let ((__function__ 'numeric-value-double->get))
    (declare (ignorable __function__))
    (mbe :logic
         (b* ((acl2::x (and (equal (numeric-value-kind acl2::x)
                                   :double)
                            acl2::x)))
           (double-value-fix acl2::x))
         :exec acl2::x)))

Theorem: double-valuep-of-numeric-value-double->get

(defthm double-valuep-of-numeric-value-double->get
  (b* ((get (numeric-value-double->get$inline acl2::x)))
    (double-valuep get))
  :rule-classes :rewrite)

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

(defthm numeric-value-double->get$inline-of-numeric-value-fix-x
 (equal
      (numeric-value-double->get$inline (numeric-value-fix acl2::x))
      (numeric-value-double->get$inline acl2::x)))

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

(defthm
 numeric-value-double->get$inline-numeric-value-equiv-congruence-on-x
 (implies (numeric-value-equiv acl2::x x-equiv)
          (equal (numeric-value-double->get$inline acl2::x)
                 (numeric-value-double->get$inline x-equiv)))
 :rule-classes :congruence)

Theorem: numeric-value-double->get-when-wrong-kind

(defthm numeric-value-double->get-when-wrong-kind
  (implies (not (equal (numeric-value-kind acl2::x)
                       :double))
           (equal (numeric-value-double->get acl2::x)
                  (double-value-fix nil))))