Implemetation of Haskell's Either type in C#

Either.cs

/// <summary>
/// Interface definition of Either
/// </summary>
/// <typeparam name="Tl">type of the Left value</typeparam>
/// <typeparam name="Tr">type of the Right value</typeparam>
public interface IEither<out Tl, out Tr>
{
    /// <summary>
    /// Check the type of the value held and invoke the matching handler function
    /// </summary>
    /// <typeparam name="U">the return type of the handler functions</typeparam>
    /// <param name="ofLeft">handler for the Left type</param>
    /// <param name="ofRight">handler for the Right type</param>
    /// <returns>the value returned by the invoked handler function</returns>
    U Case<U>(Func<Tl, U> ofLeft, Func<Tr, U> ofRight);

    /// <summary>
    /// Check the type of the value held and invoke the matching handler function
    /// </summary>
    /// <param name="ofLeft">handler for the Left type</param>
    /// <param name="ofRight">handler for the Right type</param>
    void Case(Action<Tl> ofLeft, Action<Tr> ofRight);
}

/// <summary>
/// Static helper class for Either
/// </summary>
public static class Either
{
    private sealed class LeftImpl<Tl, Tr> : IEither<Tl, Tr>
    {
        private readonly Tl value;

        public LeftImpl(Tl value)
        {
            this.value = value;
        }

        public U Case<U>(Func<Tl, U> ofLeft, Func<Tr, U> ofRight)
        {
            if (ofLeft == null)
                throw new ArgumentNullException("ofLeft");

            return ofLeft(value);
        }

        public void Case(Action<Tl> ofLeft, Action<Tr> ofRight)
        {
            if (ofLeft == null)
                throw new ArgumentNullException("ofLeft");

            ofLeft(value);
        }
    }

    private sealed class RightImpl<Tl, Tr> : IEither<Tl, Tr>
    {
        private readonly Tr value;

        public RightImpl(Tr value)
        {
            this.value = value;
        }

        public U Case<U>(Func<Tl, U> ofLeft, Func<Tr, U> ofRight)
        {
            if (ofRight == null)
                throw new ArgumentNullException("ofRight");

            return ofRight(value);
        }

        public void Case(Action<Tl> ofLeft, Action<Tr> ofRight)
        {
            if (ofRight == null)
                throw new ArgumentNullException("ofRight");

            ofRight(value);
        }
    }

    /// <summary>
    /// Create an Either with Left value
    /// </summary>
    /// <typeparam name="Tl">type of the Left value</typeparam>
    /// <typeparam name="Tr">type of the Right value</typeparam>
    /// <param name="value">the value to hold</param>
    /// <returns>an Either with the specified Left value</returns>
    public static IEither<Tl, Tr> Left<Tl, Tr>(Tl value)
    {
        return new LeftImpl<Tl, Tr>(value);
    }

    /// <summary>
    /// Create an Either with Right value
    /// </summary>
    /// <typeparam name="Tl">type of the Left value</typeparam>
    /// <typeparam name="Tr">type of the Right value</typeparam>
    /// <param name="value">the value to hold</param>
    /// <returns>an Either with the specified Right value</returns>
    public static IEither<Tl, Tr> Right<Tl, Tr>(Tr value)
    {
        return new RightImpl<Tl, Tr>(value);
    }
    
    /// <summary>
    /// Create an Either with the specified value
    /// </summary>
    /// <typeparam name="Tl">type of the Left value</typeparam>
    /// <typeparam name="Tr">type of the Right value</typeparam>
    /// <param name="value">the value to hold</param>
    /// <returns>an Either with the specified value</returns>
    public static IEither<Tl, Tr> Create<Tl, Tr>(Tl value)
    {
        return new LeftImpl<Tl, Tr>(value);
    }
    
    /// <summary>
    /// Create an Either with the specified value
    /// </summary>
    /// <typeparam name="Tl">type of the Left value</typeparam>
    /// <typeparam name="Tr">type of the Right value</typeparam>
    /// <param name="value">the value to hold</param>
    /// <returns>an Either with the specified value</returns>
    public static IEither<Tl, Tr> Create<Tl, Tr>(Tr value)
    {
        return new RightImpl<Tl, Tr>(value);
    }
}

/*
This is free and unencumbered software released into the public domain.

Anyone is free to copy, modify, publish, use, compile, sell, or
distribute this software, either in source code form or as a compiled
binary, for any purpose, commercial or non-commercial, and by any
means.

In jurisdictions that recognize copyright laws, the author or authors
of this software dedicate any and all copyright interest in the
software to the public domain. We make this dedication for the benefit
of the public at large and to the detriment of our heirs and
successors. We intend this dedication to be an overt act of
relinquishment in perpetuity of all present and future rights to this
software under copyright law.

THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND,
EXPRESS OR IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF
MERCHANTABILITY, FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT.
IN NO EVENT SHALL THE AUTHORS BE LIABLE FOR ANY CLAIM, DAMAGES OR
OTHER LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE,
ARISING FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR
OTHER DEALINGS IN THE SOFTWARE.

For more information, please refer to <http://unlicense.org/>
*/

With this you can do things like:

IEither<string, bool> someEither = ...;
switch(someEither)
{
    case ILeft<string> left: Console.WriteLine("Woo!"); break;
    case IRight<bool> right: Console.WriteLine("Yay!"); break;
}

Likewise, were we to do the standard Try either thing with the exceptions in the left value, exceptions from multiple eithers can be handled together since the ILeft interface is independent of IEither.