Did England invaded France during world war 2?

With "invasion" understood as "those already being there and claiming power" being against it, one can say that "England" (The British Empire) invaded Mainland France on at least two occasions: 1) The Dieppe Raid, a half-large size experimental attempt to get som info (or so we have been told), 2) June 5-6-7, 1944, the Landings in Normandy.

There was also an "invasion" from Italy into the south of France, but my best guess is that that was a no-British involvement affair.

France had numerous colonies and territories which were in fact "invaded".