Can Bellman Ford Detect All Negative Weight Cycles?

Can Bellman Ford Detect All Negative Weight Cycles? 1. Bellman-Ford detects negative cycles, i.e. if there is a negative cycle reachable from the source s, then for some edge (u, v), dn-1(v) > dn-1(u) + w(u, v). 2. If the graph has no negative cycles, then the distance estimates on the last iteration are equal