Integrated formwork wall and the hydraulic material thereof, called third hydraulic material, the integrated formwork wall comprising: - a first wall in a first hydraulic material disposed in a first plane, - a second wall in a second hydraulic material disposed in a second plane, the first plane and the second plane being substantially parallel to one another, - at least one connection element (4, 4') for linking and keeping at a distance from one another the first wall and the second wall, so as to form between them a filling space of thickness that can and is intended to be filled at least partially by at least said third hydraulic material, said at least one connection element (4, 4') being at least partly embedded in the first wall and the second wall and extending across the filling space, said integrated formwork wall is characterized in that said filling space comprises at least one permanent formwork comprising at least one hollow zone and/or at least one block of material forming a compact mass, said at least one permanent formwork and/or a block of material extending across the filling space between the first wall and the second wall, and in that said at least one hollow zone encloses and/or said at least one block of material comprises at least one material having a carbon footprint lower than the carbon footprint of the third hydraulic material that can be chosen from among a material in the gaseous state and/or at least one insulating material and/or at least one fire-retardant material and/or at least one acoustic material and/or a hydraulic material having a carbon footprint lower than the carbon footprint of the third hydraulic material. - a first wall in a first hydraulic material disposed in a first plane, - a second wall in a second hydraulic material disposed in a second plane, the first plane and the second plane being substantially parallel to one another, - at least one connection element (4, 4') for linking and keeping at a distance from one another the first wall and the second wall, so as to form between them a filling space of thickness that can and is intended to be filled at least partially by at least said third hydraulic material, - at least one connection element (4, 4') for linking and keeping at a distance from one another the first wall and the second wall, so as to form between them a filling space of thickness that can and is intended to be filled at least partially by at least said third hydraulic material, said at least one connection element (4, 4') being at least partly embedded in the first wall and the second wall and extending across the filling space, said integrated formwork wall is characterized in that said filling space comprises at least one permanent formwork comprising at least one hollow zone and/or at least one block of material forming a compact mass, said at least one permanent formwork and/or a block of material extending across the filling space between the first wall and the second wall, and in that said at least one hollow zone encloses and/or said at least one block of material comprises at least one material having a carbon footprint lower than the carbon footprint of the third hydraulic material that can be chosen from among a material in the gaseous state and/or at least one insulating material and/or at least one fire-retardant material and/or at least one acoustic material and/or a hydraulic material having a carbon footprint lower than the carbon footprint of the third hydraulic material.