Anti-reflection film, and image display device

An anti-reflection film, comprising a low-refractive-index layer having a refractive index in the range of from 1.20 to 1.49 made of a cured coating of a copolymer that has a main chain consisting of carbon atoms, and that comprises a fluorine-containing vinyl monomer polymerizing unit and a polymerizing unit having in its side chain a (meth)acryloyl group,

• wherein the copolymer is represented by the following formula 2:
• wherein X represents a hydrogen atom or a methyl group;
• x and y each represents a mole percent of the respective constituent, and x and y satisfy 30≦x≦60 and 5≦y≦70, respectively;
• B represents a polymerizing unit of any vinyl monomer, and may be composed of a single component or plural components:
• z1 and z2 each represents a mole percent of the respective constituent, and z1 and z2 satisfy 0<z1≦65, and 0≦z2≦65;
• and n is an integer satisfying 2≦n≦10,
• with the proviso that the hydroxyalkyl vinyl ether monomer unit is contained in the copolymer.