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A cell structure includes a cathode, an anode, and a protonically conductive solid electrolyte layer between the cathode and the anode. The solid electrolyte layer contains a compound having a perovskite structure and containing zirconium, cerium, and a rare-earth element other than cerium. If the solid electrolyte layer has a thickness of T, the elemental ratio of zirconium to cerium at a position 0.25 T from a surface of the solid electrolyte layer opposite the cathode, ZrC/CeC, and the elemental ratio of zirconium to cerium at a position 0.25 T from a surface of the solid electrolyte layer opposite the anode, ZrA/CeA, satisfy ZrC/CeC>ZrA/CeA, and ZrC/CeC>1.