1. A system that simultaneously applies to the part of the body compressing and cooling comprising: bladder (100) for ice having a removable cover (140) for introducing ice into and removing water from the bladder (100) for the ice, the vent valve (180) in cover (140) that allows to let air out of the bladder (100) for ice without removing or loosening the cap (140) a compression bandage (300, 312, 500, 600, 700, 800) comprising a single sheet (350) elastic material having a central body (352) with straps (360, 362, 370, 372) issuing from it, the central housing (352) includes an opening (354) which e receives a neck (116), the bladder (100) for the ice, the belts (360, 362, 370, 372) may be positioned relative to the body portion so as to fix the bladder (100) for ice on parts of the body to apply pressure to parts of the body and transmit heat from the body to the ice in the bladder (100) for the ice, wherein the vent valve (180) in the cover allows removal of air from the bladder (100) for the ice, without affecting a compression bandage (300) or cap (140), and wherein the compression bandage (300) is compressed to compensate for the volume of air released, thereby maintaining a continuous ie pressure on the thermal contact with a portion of tela.2. The system of claim 1, wherein: the lid (140) comprises an outer surface (160) and an inner surface (162) and comprises an opening (164) formed in the cover (140) between the outer surface (160) and the inner surface (162 ) vent valve (180) comprises a resilient plug disposed in the opening in the lid, an elastic tube (186) includes a protrusion (188) disposed on the inner surface (162) of the cover (140) and blocks access to the opening (164) iknopka (210) located in the air discharge vent1. Система, которая одновременно прикладывает к части тела сжатие и охлаждение, содержащая:пузырь (100) для льда, имеющий съемную крышку (140) для введения льда в и удаления воды из пузыря (100) для льдавоздухоотводный клапан (180)