Sentence examples for corollary as from inspiring English sources

So, we proved the corollary as follows.

For (2.5), we obtain the corollary as follows.

Therefore, from (3.6) and Theorem 8, we get an interesting corollary as follows.

The corollary, as stated and repeated by President Pervez Musharraf, was that Washington would see to it that all of Pakistan's essential interests in Afghanistan were protected.

Mr. Tolva offers a challenging historical corollary: As a pioneer in meat packing, Chicago prodded innovation in related areas like transportation and cold storage.

Setting (x=0) in (46), we have the following corollary as a particular case.

We have the following corollaries as (3.4) holds.

Derivations and proofs of the principal relationship and its corollaries as well as examples of analysis and design of bistable arches of arbitrary arch-profiles are presented in the paper.

Results similar to Corollary 3.11 as well as Corollary 3.16 can be outlined in respect of Theorem 3.13, Theorem 3.15, and Corollary 3.16.

First, this confirms reliability of ϱ ¯ ℓ (Corollary 5) as well as efficiency of μ ¯ ℓ (Corollary 7) and τ ¯ ℓ (Corollary 11).

Hence we have Corollary 3.2 as follows.