[Agda] Universe Hierarchy Problem?
kahl at cas.mcmaster.ca
kahl at cas.mcmaster.ca
Mon Dec 7 04:42:20 CET 2009
I have managed to get the error message (from Agda-2.2.4):
Set !=< Set1
To me, that seems to indicate the claim that Set is not a subtype of Set1,
which surprises me --- according to Ulf's thesis,
UTT_{\Sigma} has $Set = Set_0 \leq Set_1$,
and I could not find anything that indicates that Agda2
might differ from UTT_{\Sigma} on this count.
In the meantime, I have been able to work around it,
but nevertheless I am curious what the story is,
and where I should look for the current definition
--- is it really only in the Agda2 source code?
(I also managed to get ``Set1 !=< Set'',
and interpreted that as saying that Set1 is not a subtype of Set,
which I understand, so I considered that message helpful!
)
Wolfram
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