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I would also like the powerset to be more universe-level polymorphic: Currently, if A is Type a, then P A is A -> hProp a, even though there are multiple different powersets even up to equivalence from choosing different 'a' in the hProp a. I would like these operations to be defined for all universe levels, not just a, by making P take another universe-level argument.
I believe the following additions could be made to the
Powerset
module :∈ₚ
operator that produces anhProp
forx ∈ₚ A
rather than a general typeWhile these are easy to define I found consistently needing these and believe others could benefit from it too.
I'd be happy to drop in a PR.
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