Question: Show that a language is decidable iff some enumerator enumerates the language in decreasing order. I know a language is decidable iff some enumerator enumerates

Show that a language is decidable iff some enumerator enumerates the language in decreasing order.

I know a language is decidable iff some enumerator enumerates the language in the standard string order (increasing order), but I am not sure if this makes sense in decreasing order. Can anyone prove it?

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