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We prove that for Bernoulli percolation on a graph$\mathbb{Z}^2\times\{0,\dots,k\}$ ($k\ge 0$), there is no infinite cluster atcriticality, almost surely. The proof extends to finite range Bernoullipercolation models on $\mathbb{Z}^2$ which are invariant under $\pi/2$-rotationand reflection.

Absence of infinite cluster for critical Bernoulli percolation on slabs