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• Mode-set-result-ok

Mode-set-result-ok->get

Get the get field from a mode-set-result-ok.

Signature

(mode-set-result-ok->get acl2::x) → get

Arguments

acl2::x — Guard (mode-set-resultp acl2::x).

Returns

get — Type (mode-setp get).

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

Definitions and Theorems

Function: mode-set-result-ok->get$inline

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

Theorem: mode-setp-of-mode-set-result-ok->get

(defthm mode-setp-of-mode-set-result-ok->get
  (b* ((get (mode-set-result-ok->get$inline acl2::x)))
    (mode-setp get))
  :rule-classes :rewrite)

Theorem: mode-set-result-ok->get$inline-of-mode-set-result-fix-x

(defthm mode-set-result-ok->get$inline-of-mode-set-result-fix-x
 (equal
      (mode-set-result-ok->get$inline (mode-set-result-fix acl2::x))
      (mode-set-result-ok->get$inline acl2::x)))

Theorem: mode-set-result-ok->get$inline-mode-set-result-equiv-congruence-on-x

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

Theorem: mode-set-result-ok->get-when-wrong-kind

(defthm mode-set-result-ok->get-when-wrong-kind
  (implies (not (equal (mode-set-result-kind acl2::x)
                       :ok))
           (equal (mode-set-result-ok->get acl2::x)
                  (mode-set-fix nil))))