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Denv-result-ok

Denv-result-ok->get

Get the get field from a denv-result-ok.

Signature
(denv-result-ok->get acl2::x) → get
Arguments: acl2::x — Guard (denv-resultp acl2::x).
Returns: get — Type (denvp get).

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

Definitions and Theorems

Function: denv-result-ok->get$inline

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

Theorem: denvp-of-denv-result-ok->get

(defthm denvp-of-denv-result-ok->get
  (b* ((get (denv-result-ok->get$inline acl2::x)))
    (denvp get))
  :rule-classes :rewrite)

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

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

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

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

Theorem: denv-result-ok->get-when-wrong-kind

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