[c#] Is there a C# case insensitive equals operator?

Here an idea to simplify the syntax:

public class IgnoreCase
{
    private readonly string _value;

    public IgnoreCase(string s)
    {
        _value = s;
    }

    protected bool Equals(IgnoreCase other)
    {
        return this == other;
    }

    public override bool Equals(object obj)
    {
        return obj != null &&
               (ReferenceEquals(this, obj) || (obj.GetType() == GetType() && this == (IgnoreCase) obj));
    }

    public override int GetHashCode()
    {
        return _value?.GetHashCode() ?? 0;
    }

    public static bool operator ==(IgnoreCase a, IgnoreCase b)
    {
        return string.Equals(a, b, StringComparison.OrdinalIgnoreCase);
    }

    public static bool operator !=(IgnoreCase a, IgnoreCase b)
    {
        return !(a == b);
    }

    public static implicit operator string(IgnoreCase s)
    {
        return s._value;
    }

    public static implicit operator IgnoreCase(string s)
    {
        return new IgnoreCase(s);
    }
}

Usable like:

Console.WriteLine((IgnoreCase) "a" == "b"); // false
Console.WriteLine((IgnoreCase) "abc" == "abC"); // true
Console.WriteLine((IgnoreCase) "Abc" == "aBc"); // true
Console.WriteLine((IgnoreCase) "ABC" == "ABC"); // true

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