On 10/24/2016 09:16 PM, Rob Arthan wrote:
> I am pretty sure nothing has been published and, if you are right about (2.2),
> then I don't think type definitions can be proof-theoretically conservative.

They could. You can try to argue by "unfolding" the type definitions. 
Again, the model-theoretic conservativity is stronger than the 
proof-theoretic in general. And here you don't have an existential 
quantifier for type constructors so you can use the approach as you did 
for constants.

Ondrej

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