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## Homework Statement

Prove that if A,B, and C are nonempty sets such that A [itex]\subseteq[/itex] B [itex]\subseteq[/itex] C and |A|=|C|, then |A|=|B|

## The Attempt at a Solution

Assume B [itex]\subset[/itex] C and A [itex]\subset[/itex] B (else A=B or B=C), and there must be a bijection f:A[itex]\rightarrow[/itex]C...