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              <p>In this paper, we are interested in Gaussian versions of the classical Brunn-Minkowski inequality. We prove in a streamlined way a semigroup version of the Ehrard inequality for $m$ Borel or convex sets based on a previous work by Borell. Our method allows us also to have semigroup proofs of the classical Brascamp-Lieb inequality and of the reverse one which follow exactly the same lines.</p>
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