Composite polymer electrolytes for a rechargeable lithium battery

A rechargeable lithium battery comprising:

• a positive electrode;
• a negative electrode;
• and
• a composite electrolyte placed between said negative and positive electrodes, comprising an inert, first, porous laminate layer of a first polymer, having a first multiplicity of pores including walls, and two major faces, and having an adherent, solid, second layer of a second polymer deposited on at least one of said major faces, said adherent, solid, second polymer layer containing a first lithium compound having dissociable lithium ions, wherein said adherent, solid, second polymer layer partially fills one portion of said first multiplicity of pores of said inert, first, porous laminate layer, thereby providing a composite, porous, polymer structure of at least two polymer layers having a second portion of said first multiplicity of pores unfilled, and wherein said unfilled second portion of said pores of said composite, porous, polymer structure is impregnated with an organic liquid containing a second lithium compound having dissociable lithium ions, and wherein said inert, first, porous laminate layer is comprised of a second multiplicity of porous sub-layers, and at least two of said second multiplicity of porous sub-layers have different melting temperatures.