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Svstmt-write

Svstmt-write->rhs

Get the rhs field from a svstmt-write.

Signature
(svstmt-write->rhs x) → rhs
Arguments: x — Guard (svstmt-write-p x).
Returns: rhs — Type (svex-p rhs).

This is an ordinary field accessor created by defprod.

Definitions and Theorems

Function: svstmt-write->rhs$inline

(defun svstmt-write->rhs$inline (x)
  (declare (xargs :guard (svstmt-write-p x)))
  (declare (xargs :guard t))
  (let ((__function__ 'svstmt-write->rhs))
    (declare (ignorable __function__))
    (mbe :logic
         (b* ((x (and t x)))
           (svex-fix (std::prod-cdr x)))
         :exec (std::prod-cdr x))))

Theorem: svex-p-of-svstmt-write->rhs

(defthm svex-p-of-svstmt-write->rhs
  (b* ((rhs (svstmt-write->rhs$inline x)))
    (svex-p rhs))
  :rule-classes :rewrite)

Theorem: svstmt-write->rhs$inline-of-svstmt-write-fix-x

(defthm svstmt-write->rhs$inline-of-svstmt-write-fix-x
  (equal (svstmt-write->rhs$inline (svstmt-write-fix x))
         (svstmt-write->rhs$inline x)))

Theorem: svstmt-write->rhs$inline-svstmt-write-equiv-congruence-on-x

(defthm svstmt-write->rhs$inline-svstmt-write-equiv-congruence-on-x
  (implies (svstmt-write-equiv x x-equiv)
           (equal (svstmt-write->rhs$inline x)
                  (svstmt-write->rhs$inline x-equiv)))
  :rule-classes :congruence)