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This is more a question about coroutines than Arrow, but e.g. `parMap` has a context parameter which is set to `EmptyCoroutineContext` by default, does this mean the outer context is lost or does it just mean that by default, it does not do any further specialization of the outer context?

no, that means that the context is preserved

by convention, all the `CoroutineContext` -aware functions _merge_ the new context with the actual one (everything in `kotlinx.coroutines` works in that way)