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References to 'Schr\"oder-Bernstein theorem'
1. all bases for a vector space have the same cardinality by CWoo
2. all orthonormal bases have the same cardinality by asteroid
3. idempotency of infinite cardinals by CWoo
4. index of set theory by rspuzio
5. open and closed intervals have the same cardinality by mps
6. ordering on cardinalities by CWoo
7. proof of Schroeder-Bernstein theorem using Tarski-Knaster theorem by kompik