The invention relates to a
system for fastening rails (S) on a substrate (2) and to an
assembly (1) built on such a
system. The
system comprises a slab element (3) having through openings (21, 22) leading from its upper face (14) to its bottom face (20) and comprising anchoring elements (4, 5) having anchoring element bodies (27) which, in use, are inserted into the substrate (2) and having an
insertion opening defined by an end section (28) of the anchoring element body (27) for introducing a fastening element (11, 12) into the anchoring element body (27). According to the invention, a retaining section (29) laterally protruding from the end section (28) is connected to the end section (28) of the anchoring element body (27) by a connecting section (30-33) provided with a predetermined
breaking point. On the bottom face (20) of the slab element (3), a retaining portion (38, 39) is provided into which the through openings (21, 22) of the slab element (3) open and into which the anchoring elements (4, 5) are retained by their retaining sections (29). The retaining portion (38, 39) forms a stop (48) for the retaining sections (29) acting in the longitudinal direction of the anchoring elements (4, 5). The inner contour of the through openings (21, 22) of the slab element (3) here adapts to the outer contour of the anchoring element bodies (27) in such a way that, after breaking of the connecting sections (30-33) of the anchoring elements (4, 5), the anchoring element bodies (27) can be moved through the through openings (21, 22) of the slab element (3).