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Svtv-condoverride

Svtv-condoverride->value

Get the value field from a svtv-condoverride.

Signature
(svtv-condoverride->value x) → value
Arguments: x — Guard (svtv-condoverride-p x).
Returns: value — Type (svtv-baseentry-p value).

This is an ordinary field accessor created by defprod.

Definitions and Theorems

Function: svtv-condoverride->value$inline

(defun svtv-condoverride->value$inline (x)
  (declare (xargs :guard (svtv-condoverride-p x)))
  (declare (xargs :guard t))
  (let ((__function__ 'svtv-condoverride->value))
    (declare (ignorable __function__))
    (mbe :logic
         (b* ((x (and t x)))
           (svtv-baseentry-fix (std::da-nth 0 x)))
         :exec (std::da-nth 0 x))))

Theorem: svtv-baseentry-p-of-svtv-condoverride->value

(defthm svtv-baseentry-p-of-svtv-condoverride->value
  (b* ((value (svtv-condoverride->value$inline x)))
    (svtv-baseentry-p value))
  :rule-classes :rewrite)

Theorem: svtv-condoverride->value$inline-of-svtv-condoverride-fix-x

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

Theorem: svtv-condoverride->value$inline-svtv-condoverride-equiv-congruence-on-x

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