Sentence examples for For corollary from inspiring English sources

For, Corollary 5.3 reduces to [27, Theorem 3].

The proof for Corollary 3.5 is similar to that for Corollary 3.1.

We will only carry through the details for Corollary 3.

This result is an example for Corollary 6.

Below, we give an example for Corollary 2.2 in the special case.

The proof is the same as for Corollary 2 and we omit the details.

The proofs for Corollaries 3.3 and 3.4 are similar to those for Corollaries 3.1 and 3.2, and we omit them here.

For, from Corollary 2.10, we get the inequality (2.24).

The following lemma is required for proving Corollary B.2 and Corollary D.1.

Now, we claim that the functional equation (1.4) is not stable for in Corollary 3.4.

(g, F) is not a commuting pair in Example 3.4 for which Corollary 3.2 is not applicable to this example.