Thursday, January 6, 2011

Section 1.15

(This work is also available in PDF format here.)

"The proof is so similar to that of Proposition 1.14 that we omit it."
(a)

(b)
therefore, by (a), .

(c)

Applying (a) gives .

(d) If, for some , we have , then by (c) we have . Then substitution gives and we have the following.

Then , and by (a), .

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