In AR4 Chapter 3, page 237 the IPCC says: "It is likely, however, that there is slightly greater  warming in the troposphere than at the surface," and this claim is repeated in FAQ 3.1, page 252: "Above the surface, global observations since the late 1950s show that the troposphere (up to about 10 km) has warmed at a slightly greater rate than the surface,"

To see that these claims are false we need only look further in AR4 chapter 3, to page 269, and look at Figure 3.18:

From this figure it is quite clear that tropospheric warming trends are no greater than those at the surface. In fact most of the tropospheric trends are lower than the trend according to HADCRU, which appears to be the IPCC's preferred measure of surface temperature trends.

[The reason that the IPCC would like to make this false claim is that if atmospheric carbon dioxide was responsible for warming, there would be greater warming in the atmosphere.]