Basic Analysis I — Real Analysis · Problem 7.6.3

Metric Spaces — Jiri Lebl

Mathematics — Real Analysis · picards-theorem

Problem

Prove that in the proof of Picard's theorem, the statement ``Without loss of generality assume

x_0 = 0

'' is justified. That is, prove that if we know the theorem with

x_0 = 0

, the theorem is true as stated.