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• Svstmt-scope

Svstmt-scope->body

Get the body field from a svstmt-scope.

Signature

(svstmt-scope->body x) → body

Arguments

x — Guard (svstmt-p x).

Returns

body — Type (svstmtlist-p body).

This is an ordinary field accessor created by defprod.

Definitions and Theorems

Function: svstmt-scope->body$inline

(defun svstmt-scope->body$inline (x)
  (declare (xargs :guard (svstmt-p x)))
  (declare (xargs :guard (equal (svstmt-kind x) :scope)))
  (let ((__function__ 'svstmt-scope->body))
    (declare (ignorable __function__))
    (mbe :logic
         (b* ((x (and (equal (svstmt-kind x) :scope) x)))
           (svstmtlist-fix (std::da-nth 1 (cdr x))))
         :exec (std::da-nth 1 (cdr x)))))

Theorem: svstmtlist-p-of-svstmt-scope->body

(defthm svstmtlist-p-of-svstmt-scope->body
  (b* ((body (svstmt-scope->body$inline x)))
    (svstmtlist-p body))
  :rule-classes :rewrite)

Theorem: svstmt-scope->body$inline-of-svstmt-fix-x

(defthm svstmt-scope->body$inline-of-svstmt-fix-x
  (equal (svstmt-scope->body$inline (svstmt-fix x))
         (svstmt-scope->body$inline x)))

Theorem: svstmt-scope->body$inline-svstmt-equiv-congruence-on-x

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

Theorem: svstmt-scope->body-when-wrong-kind

(defthm svstmt-scope->body-when-wrong-kind
  (implies (not (equal (svstmt-kind x) :scope))
           (equal (svstmt-scope->body x)
                  (svstmtlist-fix nil))))