Sentence examples similar to then not essential from inspiring English sources

Furthermore, if I k is compact for k = 1, 2, …, m, then (H∗) is not essential.

The idea here is that if the reason that anything we'd take to be a Φ-tradition would have Ψ-concerns is that our Φ-tradition has focused on Ψ-concerns since its inception, then it is not essential to Φ-traditions that they have Ψ-concerns, and Φ is a purely historical concept.

If it's not essential, then it may not be changed.

If a majority of managers do not feel that inspiration and direction are necessary for managing corporate performance, and that motivation and accountability are not essential, then our companies are in far worse shape than imagined.

If a pathway is not essential then it is usually not pursued as a drug target.

Not essential, but then cream rarely is.

We see our children bringing home paragraphs of knowledge that have suddenly been deemed essential and then, at a later stage, not essential.

If (N ) is not essential in (M), then there exists a uniform submodule (U) of (M) such that (N cap U = 0 ).

If it's not essential, the view is, then the government shouldn't be doing it anyway.

Then again, separating partitions into separate data files is not essential with certain types of RAID array architectures.

Then all solutions in (S f)) except (u^{0} t,x)equiv0) are not essential.