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[Discussion]: Moving setoid, ≡-setoid, and flip away from Function.Equality #1996

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@Saransh-cpp

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@Saransh-cpp

Related to #759

Now that agda-stdlib has a Function.Indexed directory, I think it would be nice to migrate setoid, ≡-setoid, and flip to the new hierarchy.

Along with these, I am unsure if other functions in Function.Equality must also be migrated somewhere. The issue mentions - "Missing an indexed function variant. Should go in a new hierarchy Function.Dependent.(Structures/Bundles)" - but I'm not sure if I understand that very well. Should the operators and functions not involving IndexedSetoid have a new indexed version of themselves in a different module, or should the indexed functions be moved to Function.Dependent.(Structures/Bundles)?

Moreover, should I start by moving _⇨_, Π, _⟶_, setoid, and ≡-setoid to Function.Indexed.Relation.Binary.Equality, given that all of them have IndexedSetoid involved within their definitions?

Thanks!

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