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Furthermore, every solution of (45) has a maximal time of existence T > 0, and if T < ∞, then.
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Therefore, (mathscr{P}) has a maximal element.
Hence, f has a maximal fixed point.
Each quality factor has a maximal score of 4, and the maximal total score is 32.
From Zorn's lemma, cl ( C ) has a maximal element.
This means that G has a maximal path.
Hence, BVPHDEF (1) has a maximal solution on J.
By Zorn's lemma, ( X, ⪯ ) has a maximal element x ¯.
Hence, by Zorn's Lemma, has a maximal element.
Now, we prove that has a maximal element.
X is not a maximal subgroup of M. Therefore, M has a maximal subgroup M 1such that X≤M 1.
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