[Fradow]

That differs from country to country.

In France, pedelecs (pedal-assist, assist is capped to 25km/h) are allowed on bike lanes, but speed bikes (not limited to 25km/h, they can reach the same speed as cars in cities, often 50km/h, and do not require pedaling) are not allowed on bike lanes.

For all intent and purpose, a speed bike (or however you call it) is an electric moped.