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Boolean-result-err

Boolean-result-err->get

Get the get field from a boolean-result-err.

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

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

Definitions and Theorems

Function: boolean-result-err->get$inline

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

Theorem: errorp-of-boolean-result-err->get

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

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

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

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

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

Theorem: boolean-result-err->get-when-wrong-kind

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