I drafted a wordy, somewhat formal, and completely authoritative explanation of what's going on here, including what's needed, and why it's needed, and what's not needed and why not, but by the time I had written it all out, and corrected my spelling and punctuation glitches, Philadelphia Len had submitted his marvelously compact precis [just above] of what's going on and what's needed. And then I noticed the refrig
pbrerator was laboring to keep its contents cold so I helped out over there, too. And jettisoned my tedious and bloated draft submission for the forum...