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The purpose of this modest note is to provide a short proof of the sharpnessof the phase transition for the Random-cluster model with $q=2$ by extendingthe approach developed by Duminil-Copin and Tassion for $q=1$. This inparticular implies the exponential decay of the two point-correlation functionin the subcritical Ising model.

Short proof of the sharpness of the phase transition for the random-cluster model with $q=2$