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Decide on the kind of functors #2

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@omelkonian

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@omelkonian

Functors are currently given the type/kind: Type↑ = ∀ {ℓ} → Type ℓ → Type ℓ . This disallows valid cases that the level changes in the output index, so we should carefully decide which ones we want to support + provide alternative definitions to cover the rest.

@WhatisRT has a use case for his axiomatic set-theory library, where one cannot a monad instance for the powerset construction.


Possible alternative definitions:

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