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Expr-value-result-ok

Expr-value-result-ok->get

Get the get field from a expr-value-result-ok.

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

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

Definitions and Theorems

Function: expr-value-result-ok->get$inline

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

Theorem: expr-valuep-of-expr-value-result-ok->get

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

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

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

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

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

Theorem: expr-value-result-ok->get-when-wrong-kind

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