Re: Cardinality and injection


No. The statement was

such that a_i not equal to b_j for
any i not equal to j.


I.e. the exact opposite of what you state, the sets are
essentially identical if a_i <> b_j for different values
of the index. (In which case there is a simple bijection
between A and B, just flip the ordered pairs).


-William Hughes
.................................................................................

Well in that case you are right!
But it proves that subcardinality is an inspiring concept!

Zuhair

.

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