As a consequence of Tychonoff's theorem, this product, and hence the unit ball within, is compact.
This is a consequence of Noether's theorem, which can be proven mathematically.
This is a consequence of Helmholtz's second theorem.
The result is a consequence of Minkowski's theorem.
Another consequence of Cantor's theorem is that the cardinal numbers constitute a proper class.
It is a consequence of Chevalley's theorem that finite fields are quasi-algebraically closed.
For one consequence of Cantor's theorem, see beth numbers.
We mention a few of the results which can be viewed as consequences of Stinespring's theorem.
This in a sense is just a consequence of Abel's theorem.
One consequence of Shoenfield's theorem relates to the axiom of choice.