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On 07/01/2018 17:41, Xavier Leroy wrote:

> As your example shows, the tree can contain infinitely-branching nodes, hence 
> the size can be infinite, but all paths are finite, hence the height is 
> finite.

I was confused.  All paths in this tree are finite indeed, and that's why it 
induces a well-founded ordering.  But in the presence of infinitely-branching 
nodes, the height can still be infinite and is not an appropriate justification 
for structural induction.

Sorry for the noise,

- Xavier Leroy

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