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Stmt-gout

Stmt-gout->context

Get the context field from a stmt-gout.

Signature
(stmt-gout->context x) → context
Arguments: x — Guard (stmt-goutp x).
Returns: context — Type (atc-contextp context).

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

Definitions and Theorems

Function: stmt-gout->context$inline

(defun stmt-gout->context$inline (x)
  (declare (xargs :guard (stmt-goutp x)))
  (declare (xargs :guard t))
  (let ((__function__ 'stmt-gout->context))
    (declare (ignorable __function__))
    (mbe :logic
         (b* ((x (and t x)))
           (atc-context-fix (cdr (std::da-nth 3 x))))
         :exec (cdr (std::da-nth 3 x)))))

Theorem: atc-contextp-of-stmt-gout->context

(defthm atc-contextp-of-stmt-gout->context
  (b* ((context (stmt-gout->context$inline x)))
    (atc-contextp context))
  :rule-classes :rewrite)

Theorem: stmt-gout->context$inline-of-stmt-gout-fix-x

(defthm stmt-gout->context$inline-of-stmt-gout-fix-x
  (equal (stmt-gout->context$inline (stmt-gout-fix x))
         (stmt-gout->context$inline x)))

Theorem: stmt-gout->context$inline-stmt-gout-equiv-congruence-on-x

(defthm stmt-gout->context$inline-stmt-gout-equiv-congruence-on-x
  (implies (stmt-gout-equiv x x-equiv)
           (equal (stmt-gout->context$inline x)
                  (stmt-gout->context$inline x-equiv)))
  :rule-classes :congruence)