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Float-value

Float-value->float

Get the float field from a float-value.

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

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

Definitions and Theorems

Function: float-value->float$inline

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

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

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

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

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

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

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