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Better way of writing `Proper` premises in fin sets

Merged Robbert Krebbers requested to merge robbert/better_proper into master
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Use Proper (.. => impl) instead of Proper (.. => iff) and ∀ x, Proper .. instead of Proper ((=) ==> ..).

The new premises are easier to prove (both solve_proper and manual proof).

This came up in !478 (merged)

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