Euler's formula states that for any convex polyhedron, the number of vertices (V) minus the number of edges (E) plus the number of faces (F) equals 2. That is, V - E + F = 2.
To verify this, we need specific examples of solids. The provided data lacks examples of solids to test the formula. The solution requires a set of polyhedra with their vertex, edge, and face counts to demonstrate the formula's validity for each. Without that information, a complete solution demonstrating Euler's formula cannot be provided.