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I would like to know how to force a gap say in this instance:

\subsection{$K\nsubseteq L$}<br>
[Line break here]<br>
In the next three results that follow, ...

Naively using \newline or equivalently \\ gives the message "no line to end". I can understand the error message but I'm not sure how to get around it. Is there another command I could use?

I apologise if I've double posted, let me know and I'll delete it. THANKS!

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Welcome to TeX.SX! You can have a look on our our starter page to familiarize yourself further with our format. – Claudio Fiandrino Jul 12 '13 at 10:19
There is no need of giving a line break command after a subsection title, in general. – egreg Jul 12 '13 at 10:21
up vote 5 down vote accepted

You might try

\subsection{$K\nsubseteq L$}~\\
In the next three results that follow, ...

which should do the work for you. You also can redefine the subsection heading style in your preamble to add a linespace after it to make it automatic in all you file.

Here is how a subsection is defined for the report class.

                                 {-3.25ex\@plus -1ex \@minus -.2ex}%
                                 {1.5ex \@plus .2ex}%

In your preamble you should then add the following to modify it:

                                 {-3.25ex\@plus -1ex \@minus -.2ex}%
                                 {3ex \@plus .2ex}%

You can customize the space between the subsection header and the beginning of the subsection by adjusting the value 3 in {3ex \@plus .2ex}%.

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If you want to force a line break, you could always create a new line and fill it with something blank, e.g.:

\hspace{1 mm} \\

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