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Input-section-option-result-err

Input-section-option-result-err->get

Get the get field from a input-section-option-result-err.

Signature
(input-section-option-result-err->get acl2::x) → get
Arguments: acl2::x — Guard (input-section-option-resultp acl2::x).
Returns: get — Type (reserrp get).

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

Definitions and Theorems

Function: input-section-option-result-err->get$inline

(defun input-section-option-result-err->get$inline (acl2::x)
 (declare (xargs :guard (input-section-option-resultp acl2::x)))
 (declare
     (xargs :guard (equal (input-section-option-result-kind acl2::x)
                          :err)))
 (let ((__function__ 'input-section-option-result-err->get))
  (declare (ignorable __function__))
  (mbe
   :logic
   (b*
    ((acl2::x (and (equal (input-section-option-result-kind acl2::x)
                          :err)
                   acl2::x)))
    (fty::reserr-fix acl2::x))
   :exec acl2::x)))

Theorem: reserrp-of-input-section-option-result-err->get

(defthm reserrp-of-input-section-option-result-err->get
  (b* ((get (input-section-option-result-err->get$inline acl2::x)))
    (reserrp get))
  :rule-classes :rewrite)

Theorem: input-section-option-result-err->get$inline-of-input-section-option-result-fix-x

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

Theorem: input-section-option-result-err->get$inline-input-section-option-result-equiv-congruence-on-x

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

Theorem: input-section-option-result-err->get-when-wrong-kind

(defthm input-section-option-result-err->get-when-wrong-kind
  (implies (not (equal (input-section-option-result-kind acl2::x)
                       :err))
           (equal (input-section-option-result-err->get acl2::x)
                  (fty::reserr-fix nil))))