Is every one-one function fromNto itself onto? In other words, does the pigeon-hole principle hold forNitself?

Thanks for the help

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- Mar 1st 2007, 07:36 PMtaypezSet Theory
Is every one-one function from

**N**to itself onto? In other words, does the pigeon-hole principle hold for**N**itself?

Thanks for the help - Mar 1st 2007, 07:50 PMJhevon
- Mar 1st 2007, 07:57 PMThePerfectHacker