Brassiere, in particular a lace brassiere, comprising cups with improved support

A brassiere comprising two cups of substantially and partially hemispherical shape each including an external textile layer, an internal textile layer, and in its a lower portion a non-planar insert at rest but shaped in space and achieved in a thin sheet of rigid plastic material in a coextensive and elastically flexible direction in a transverse direction, the insert when flat having a substantially circular arc shape of which the width increases from a first internal end to a second external end, the shaping of the insert shaped in space being adapted so that the insert substantially follows the hemispherical shape of the cup, the two cups being connected together on their internal side and being connected on their external side to lateral portions forming a back of the brassiere when they are attached to one another thanks to an attachment device, the top of each cup being connected to a strap fastened to the back of the brassiere, wherein the insert is disposed between two laminated textile layers, with a marginal projection of the two textile layers at least on a long convex side, the insert (20, 20′) being secured to the external and internal textile layers of the brassiere with the marginal projection.