The spread of the Latin tongue and the finer elements of Latin culture followed the establishment of the Roman order. One Gallic city and then another adopted the new language according to its circumstances and situation. Of course the cities of Provincia took the lead, largely Italian as they were in population. On the other hand, Latin made slow progress among the hills of Auvergne. But farther north, the Roman city of Lyons was Latin-tongued from its foundation. Thence to the remoter north and west and east, Latin spread by cities, the foci of affairs and provincial administration. The imperial government did not demand of its subjects that they should abandon their native speech, but required in Gaul, as elsewhere, the use of Latin in the transaction of official business. This compelled all to study Latin who had affairs in law courts or with officials, or hoped to become magistrates. Undoubtedly the rich and noble, especially in the towns, learned Latin quickly, and it soon became the vehicle of polite, as well as official, intercourse. It was also the language of the schools attended by the noble Gallic youth. But among the rural population, the native tongues continued indefinitely. Obviously one cannot assign any specific time for the popular and general change from Celtic; but it appears to have very generally taken place before the Frankish conquest.[31] By that time, too, those who would naturally constitute the educated classes, possessed a Latin education. First in the cities of Provincia, Nîmes, Arles, Vienne, Fréjus, Aix in Provence, then of course at Lyons and in Aquitaine, and later through the cities of the north-east, Trèves, Mainz, Cologne, and most laggingly through the north-west Belgic lands lying over against the channel and the North Sea, Latin education spread. Grammar and rhetoric were taught, and the great Classics were explained and read, till the Gauls doubtless felt themselves Roman in spirit as in tongue.