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    • Path

    Path->get

    Get the get field from a path.

    Signature
    (path->get x) → get
    Arguments
    x — Guard (pathp x).
    Returns
    get — Type (identifier-listp get).

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

    Definitions and Theorems

    Function: path->get$inline

    (defun path->get$inline (x)
      (declare (xargs :guard (pathp x)))
      (declare (xargs :guard t))
      (let ((__function__ 'path->get))
        (declare (ignorable __function__))
        (mbe :logic
             (b* ((x (and t x)))
               (identifier-list-fix (cdr (std::da-nth 0 (cdr x)))))
             :exec (cdr (std::da-nth 0 (cdr x))))))

    Theorem: identifier-listp-of-path->get

    (defthm identifier-listp-of-path->get
      (b* ((get (path->get$inline x)))
        (identifier-listp get))
      :rule-classes :rewrite)

    Theorem: path->get$inline-of-path-fix-x

    (defthm path->get$inline-of-path-fix-x
      (equal (path->get$inline (path-fix x))
             (path->get$inline x)))

    Theorem: path->get$inline-path-equiv-congruence-on-x

    (defthm path->get$inline-path-equiv-congruence-on-x
      (implies (path-equiv x x-equiv)
               (equal (path->get$inline x)
                      (path->get$inline x-equiv)))
      :rule-classes :congruence)