On 18 Apr., 09:22, Virgil <vir...@ligriv.com> wrote: > In article > <7256d794-e1a7-4366-9f47-c6294e2d3...@b3g2000vbo.googlegroups.com>, > > WM <mueck...@rz.fh-augsburg.de> wrote: > > Up to any line L_n it is clear that C contains not more than that > > line. > > So a suitably truncated column cotains no more than some line, but when > not truncated contains more than any one line.
More than any "given" line. But here the question reads: Does A contain more than any present line?
By construction every set of numbers of T is a subset of some line. You can see this, when, during construction of T, all lines L_n with n < m are removed when line L_m is added. This will yield a sequence T = (1), (1, 2), (1, 2, 3), ...
Is there any natural number in this sequence at all? Is there any natural number in this sequence that is missing in the first column C? Is there any natural number in C that is missing in T?
How do your answers change, when the construction of T is done by unioning instead of appending? All lines L_n with n < m are uniond with L_m when line L_m is added.