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• Floating-point-value-float

Floating-point-value-float->get

Get the get field from a floating-point-value-float.

Signature

(floating-point-value-float->get acl2::x) → get

Arguments

acl2::x — Guard (floating-point-valuep acl2::x).

Returns

get — Type (float-valuep get).

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

Definitions and Theorems

Function: floating-point-value-float->get$inline

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

Theorem: float-valuep-of-floating-point-value-float->get

(defthm float-valuep-of-floating-point-value-float->get
  (b* ((get (floating-point-value-float->get$inline acl2::x)))
    (float-valuep get))
  :rule-classes :rewrite)

Theorem: floating-point-value-float->get$inline-of-floating-point-value-fix-x

(defthm
 floating-point-value-float->get$inline-of-floating-point-value-fix-x
 (equal (floating-point-value-float->get$inline
             (floating-point-value-fix acl2::x))
        (floating-point-value-float->get$inline acl2::x)))

Theorem: floating-point-value-float->get$inline-floating-point-value-equiv-congruence-on-x

(defthm
 floating-point-value-float->get$inline-floating-point-value-equiv-congruence-on-x
 (implies (floating-point-value-equiv acl2::x x-equiv)
          (equal (floating-point-value-float->get$inline acl2::x)
                 (floating-point-value-float->get$inline x-equiv)))
 :rule-classes :congruence)

Theorem: floating-point-value-float->get-when-wrong-kind

(defthm floating-point-value-float->get-when-wrong-kind
  (implies (not (equal (floating-point-value-kind acl2::x)
                       :float))
           (equal (floating-point-value-float->get acl2::x)
                  (float-value-fix nil))))