# corollary

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## corollary:

see theoremtheorem,
in mathematics and logic, statement in words or symbols that can be established by means of deductive logic; it differs from an axiom in that a proof is required for its acceptance.
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## corollary

Logic a proposition that follows directly from the proof of another proposition
References in periodicals archive ?
Applying this remark to Corollaries 4, 5, 8, and 9, respectively, we obtain following results.
In Corollaries 4.8 and 4.12 we saw for primitives that if (m, n) [??] F(F) [union] {n}, then N([F.sup.m]) = N(F).
Hence, if a < 8/104,2912 holds, then the conditions of Corollaries 3 and 4 are satisfied.
By the similar reasons used in the case of modular, we obtain the following corollaries immediately.
Taking [a.sub.1] = a, [a.sub.r] = b in Theorem 2 we obtain the following corollaries:
At the same time, we can get the following corollaries. The proof for corollaries is similar to that in large-scale Lurie systems with single nonlinearity and thus is omitted.
On the other hand, by Theorem 42, we will also obtain the following corollaries.
Note that for [alpha] = 1, the above three corollaries reduce to the results of Singh and Gupta.
We also have the following corollaries of Theorem 3.1.
Although this rule needs no further clarification, that didn't stop Igor from adding 2 corollaries:
Similarly to Corollaries 2.2 and 2.3 the following corollaries hold.
In particular, we obtain the following corollaries.

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