Exact(14)
Suppose that (2.1) satisfies Hypotheses.
Then f satisfies hypotheses (H3) and (H4).
Then f ˜ also satisfies hypotheses (H1 - H2).
Let us suppose that (2.1) satisfies Hypotheses.
The following function satisfies hypotheses (H f)).
Finally, suppose X satisfies hypotheses (3a) and (3b).
Similar(46)
Therefore, F satisfies hypothesis (8).
Then I k is compact thus satisfies hypothesis (HI).
From [33], we obtain g satisfies hypothesis (2).
Then g is a compact operator and satisfies hypothesis (Hg).
Then (I_{i}) is compact and satisfies hypothesis (H3).
Write better and faster with AI suggestions while staying true to your unique style.
Since I tried Ludwig back in 2017, I have been constantly using it in both editing and translation. Ever since, I suggest it to my translators at ProSciEditing.

Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com