A constant force escapement mechanism between an oscillator and a gear train driven by a barrel, includes a stop member cooperating with the oscillator and with toothing of a flexible, one-piece escape wheel including a pinion that meshes with an input wheel of the gear train and is connected to the toothing by flexible arms configured to store energy from the gear train and to restore energy according to a position of a detent lever, which includes a first arm cooperating with the toothing, and a second arm cooperating with the input wheel to stop or release the input wheel. The lever tilts, at each passage of a tooth of the toothing, about a pivot bearing, and the escapement mechanism is configured to be incorporated in a movement or in a watch.
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