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Stmt-value-result-err

Stmt-value-result-err->get

Get the get field from a stmt-value-result-err.

Signature
(stmt-value-result-err->get acl2::x) → get
Arguments: acl2::x — Guard (stmt-value-resultp acl2::x).
Returns: get — Type (errorp get).

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

Definitions and Theorems

Function: stmt-value-result-err->get$inline

(defun stmt-value-result-err->get$inline (acl2::x)
  (declare (xargs :guard (stmt-value-resultp acl2::x)))
  (declare (xargs :guard (equal (stmt-value-result-kind acl2::x)
                                :err)))
  (mbe :logic
       (b* ((acl2::x (and (equal (stmt-value-result-kind acl2::x)
                                 :err)
                          acl2::x)))
         (error-fix acl2::x))
       :exec acl2::x))

Theorem: errorp-of-stmt-value-result-err->get

(defthm errorp-of-stmt-value-result-err->get
  (b* ((get (stmt-value-result-err->get$inline acl2::x)))
    (errorp get))
  :rule-classes :rewrite)

Theorem: stmt-value-result-err->get$inline-of-stmt-value-result-fix-x

(defthm stmt-value-result-err->get$inline-of-stmt-value-result-fix-x
  (equal (stmt-value-result-err->get$inline
              (stmt-value-result-fix acl2::x))
         (stmt-value-result-err->get$inline acl2::x)))

Theorem: stmt-value-result-err->get$inline-stmt-value-result-equiv-congruence-on-x

(defthm
 stmt-value-result-err->get$inline-stmt-value-result-equiv-congruence-on-x
 (implies (stmt-value-result-equiv acl2::x x-equiv)
          (equal (stmt-value-result-err->get$inline acl2::x)
                 (stmt-value-result-err->get$inline x-equiv)))
 :rule-classes :congruence)

Theorem: stmt-value-result-err->get-when-wrong-kind

(defthm stmt-value-result-err->get-when-wrong-kind
  (implies (not (equal (stmt-value-result-kind acl2::x)
                       :err))
           (equal (stmt-value-result-err->get acl2::x)
                  (error-fix nil))))