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I have this confusion related to a finite state machine M such that if the number of states n>=2, then there exits i

$ \overset{i}\equiv{}= {\overset{i+1}\equiv{}}$ I mean the $i^{th}$ equivalence class = ${i+1}^{th}$ equivalence class

How can I prove this?

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    I don't understand your notation, if it is not standard please add details [I may not know this matirial though]2012-10-06

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