premise: The Battle of France was a German invasion.
hypothesis: The Battle of France , also known as the Fall of France , was the German invasion of France and the Low Countries during the Second World War . The German plan for the invasion consisted of two main operations . In Fall Gelb ( Case Yellow ) , German armoured units pushed through the Ardennes and then along the Somme valley , cutting off and surrounding the Allied units that had advanced into Belgium , to meet the expected German invasion .