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To get rendering right you also have to pick the right way to include the proof in your text. The three most common constructors for including formulas in text are:
..."[ formula ]"... ..."[[ formula ]]"... ..."[[[ formula ]]]"...
Use the first one for proofs. It just includes the proof without surrounding it by any latex code. Latex must be in (or be able to change to) TeX vertical mode when it encounters a proof. Use the second and third of the three alternatives above for formulas which must be typeset in math and display math mode, respectively.
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