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I'm using the semantics package to produce inference rules. My inference rules contains quite a lot of \langle and \rangle, so I've made ligatures for these commands as such:

\mathlig{<}{\langle} \mathlig{>}{\rangle} 

However, now I can't use < in equations to mean "less than", since it is turned into \langle.

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The semantics package recommends the \mathligsoff command in this case, i.e.

\mathligsoff $1 < 10$ \mathligson 

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