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Vars+modes-result-ok

Vars+modes-result-ok->get

Get the get field from a vars+modes-result-ok.

Signature
(vars+modes-result-ok->get acl2::x) → get
Arguments: acl2::x — Guard (vars+modes-resultp acl2::x).
Returns: get — Type (vars+modes-p get).

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

Definitions and Theorems

Function: vars+modes-result-ok->get$inline

(defun vars+modes-result-ok->get$inline (acl2::x)
  (declare (xargs :guard (vars+modes-resultp acl2::x)))
  (declare (xargs :guard (equal (vars+modes-result-kind acl2::x)
                                :ok)))
  (let ((__function__ 'vars+modes-result-ok->get))
    (declare (ignorable __function__))
    (mbe :logic
         (b* ((acl2::x (and (equal (vars+modes-result-kind acl2::x)
                                   :ok)
                            acl2::x)))
           (vars+modes-fix acl2::x))
         :exec acl2::x)))

Theorem: vars+modes-p-of-vars+modes-result-ok->get

(defthm vars+modes-p-of-vars+modes-result-ok->get
  (b* ((get (vars+modes-result-ok->get$inline acl2::x)))
    (vars+modes-p get))
  :rule-classes :rewrite)

Theorem: vars+modes-result-ok->get$inline-of-vars+modes-result-fix-x

(defthm vars+modes-result-ok->get$inline-of-vars+modes-result-fix-x
 (equal
  (vars+modes-result-ok->get$inline (vars+modes-result-fix acl2::x))
  (vars+modes-result-ok->get$inline acl2::x)))

Theorem: vars+modes-result-ok->get$inline-vars+modes-result-equiv-congruence-on-x

(defthm
 vars+modes-result-ok->get$inline-vars+modes-result-equiv-congruence-on-x
 (implies (vars+modes-result-equiv acl2::x x-equiv)
          (equal (vars+modes-result-ok->get$inline acl2::x)
                 (vars+modes-result-ok->get$inline x-equiv)))
 :rule-classes :congruence)

Theorem: vars+modes-result-ok->get-when-wrong-kind

(defthm vars+modes-result-ok->get-when-wrong-kind
  (implies (not (equal (vars+modes-result-kind acl2::x)
                       :ok))
           (equal (vars+modes-result-ok->get acl2::x)
                  (vars+modes-fix nil))))