Def.: |H is the set of all nested hyperoperation and inverse-hyperoperation expressions with the natural numbers (without 0) as base arguments.

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# New number set

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Def.: |H is the set of all nested hyperoperation and inverse-hyperoperation expressions with the natural numbers (without 0) as base arguments.

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By inverse, I mean the log-like one as the root-like one can be expressed in terms of a fraction in the second argument – regardless of the hyperoperation stage.