- #1

- 1,714

- 6

if

[tex]s^{'}_{n} = s_n + b[/tex]

and

[tex]S^{'}_{n} = S_n + b [/tex]

and

[tex]s_n < A < S_n [/tex]

does that imply that

[tex]s^{'}_{n} < A+b < S^{'}_{n}[/tex]

?

ahh why can't i delete, i think this is probably obvious

the actual point of contention is if A is the only number between [itex]s_n[/itex] and [itex]S_n[/itex]

is A+b the only number between [itex]s^{'}_{n}[/itex] and [itex]S^{'}_{n}[/itex] ? Surely it is but does it obviously follow?

[tex]s^{'}_{n} = s_n + b[/tex]

and

[tex]S^{'}_{n} = S_n + b [/tex]

and

[tex]s_n < A < S_n [/tex]

does that imply that

[tex]s^{'}_{n} < A+b < S^{'}_{n}[/tex]

?

ahh why can't i delete, i think this is probably obvious

the actual point of contention is if A is the only number between [itex]s_n[/itex] and [itex]S_n[/itex]

is A+b the only number between [itex]s^{'}_{n}[/itex] and [itex]S^{'}_{n}[/itex] ? Surely it is but does it obviously follow?

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