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Expr-value-option-result-err

Expr-value-option-result-err->get

Get the get field from a expr-value-option-result-err.

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

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

Definitions and Theorems

Function: expr-value-option-result-err->get$inline

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

Theorem: errorp-of-expr-value-option-result-err->get

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

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

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

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

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

Theorem: expr-value-option-result-err->get-when-wrong-kind

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