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@jdchristensen
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It turns out that the image factorization for a function f to an h-set was already done in quotient_kernel_factor, and was even done in a way that let f x = f y be replaced by an equivalent relation R x y. Thus it was set-up to be used with propositional resizing, where R could be taken to have small values. I cleaned it up and provided this small version (as well as a version where R is definitionally f x = f y), and adapted Ordinal.v to use this instead of reproving it.

I left the factorization result in its bundled style. I don't love that, but it did make it easy to state variations quickly.

@Alizter
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Alizter commented Feb 25, 2024

It seems that 8.18 has different universe behaviour causing a build error.

@jdchristensen
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@Alizter This is ready for review now.

@jdchristensen jdchristensen merged commit f6f93b3 into HoTT:master Feb 26, 2024
@jdchristensen jdchristensen deleted the set-quotient branch February 26, 2024 01:36
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2 participants