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[Coq-Club] question about universes and equalities


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  • From: Jonathan Leivent <jonikelee AT gmail.com>
  • To: Coq Club <coq-club AT inria.fr>
  • Subject: [Coq-Club] question about universes and equalities
  • Date: Sun, 8 May 2016 14:10:11 -0400
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I'm hitting some problems that I think are related to equalities in different universes. For example, consider:

Goal forall S1 S2:Set, @eq Type S1 S2 -> @eq Set S1 S2.

Is this provable in Coq? If not, then does that mean it is possible to have two Sets in Coq such that they are (@eq Type) but not (@eq Set)? What would that possibly mean?

-- Jonathan





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