Question

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notes
Let A and B be sets. If there exists
an injection f:
of A is less
cardinality aof B, written A ĥ B.
If there exists á surjectionf:A→B,
the cardinality of A is greater than
or equal to the
writfen
A →Bithe cardinality
than or equal to the
cardină lity of B,
al Prove that if A ĥ B, then B2 A.
b) Prove that if A Ś B and Aà B, then AnB.
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Transcribed Image Text

notes Let A and B be sets. If there exists an injection f: of A is less cardinality aof B, written A ĥ B. If there exists á surjectionf:A→B, the cardinality of A is greater than or equal to the writfen A →Bithe cardinality than or equal to the cardină lity of B, al Prove that if A ĥ B, then B2 A. b) Prove that if A Ś B and Aà B, then AnB.

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