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So we proved the first case.
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Thus, proves the first case.
Here, we only prove the first case.
We prove the first case and other cases are similar.
which proves the first case of the theorem.
For the sake of simplicity, we will prove the first case of Theorem 5.3.
Thus, M ∩ F ( T ) ∩ F ( f ) ≠ 0̸ proves the first case.
We prove the first case (x_{i^prec aprec b), the second case can be analogously proved.
We only prove the first case since the second case can be derived as the first one.
which proves the second case and Theorem 1.
end{aligned} end{aligned} With a similar argument as above, one can prove the second case.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com