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I don't think we want either

(typecase stream
	(two-way-stream ...)
	(echo-stream ...)

to behave in an implementation-dependent manner, or
to require that echo-stream be a subtype of two-way-stream.

You can always have a class that is their mutual 
superclass, i.e., that they both inherit from.

However, the relation between the streams in
echo and two-way is significantly different.