 Quote by Hurkyl
e.g. what reasoning is the opening poster referring to? What does he mean by reach? And what exactly is the ellipsis covering up?
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That's what I was trying to suggest, although you worded it better.
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Specifically:
x < y < z is a mild form of 'abuse of notation' as it's called.
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So let's agree that x < y < z to mean x < y /\ y < z, x < y < z < a to mean x < y /\ y < z /\ z < a ...
where I am using the ... to mean something similar to the meaning of the ... that the OP was asking about in the first place