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We show that in the Effective Field Theory (EFT) of inflation this is a consequence of an approximate 5D Poincar\\'e symmetry, ISO(4,1), non-linearly realized by the Goldstone \\pi. This symmetry uniquely fixes, at lowest order in derivatives, all correlation functions in terms of the speed of sound c_s. In the limit c_s \\to 1, the ISO(4,1) symmetry reduces to the Galilean symmetry acting on \\pi. 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We show that in the Effective Field Theory (EFT) of inflation this is a consequence of an approximate 5D Poincar\\'e symmetry, ISO(4,1), non-linearly realized by the Goldstone \\pi. This symmetry uniquely fixes, at lowest order in derivatives, all correlation functions in terms of the speed of sound c_s. In the limit c_s \\to 1, the ISO(4,1) symmetry reduces to the Galilean symmetry acting on \\pi. 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