Neededly

If all this seems like a vaporings of a diseased imagination, too monstrous and too improbably for belief, only see how the ascending series of events, as steps in a stairway from basement to top story, mounts up, one after another, in neededly progressive order, from the outset toward the purposed summit of the conspiracy.

What it all amounted to, at any rate, was that Mrs. Assingham would be keeping him quiet now, while his wife and his father-in-law carried out their own little frugal picnic; quite moreover, doubtless, not much less neededly in respect to the members of the circle that were with them there than in respect to the pair they were missing almost for the first time.

Let us call a reduction P self-neededly fair if no redex in a term of P has a P-needed P-erased residual in every subsequent term.