Please note that you can also interpolate from one space to another,i.e.
from dolfinx import fem, mesh as msh
from mpi4py import MPI
import ufl
mesh = msh.create_unit_cube(MPI.COMM_WORLD, 1,1,1)
Ue = ufl.VectorElement("Lagrange", mesh.ufl_cell(), 2,dim=3)
Te = ufl.VectorElement("CR", mesh.ufl_cell(), 1, dim=3)
V = fem.FunctionSpace(mesh, ufl.MixedElement([Ue, Te]))
v = fem.Function(V)
v.sub(0).interpolate(lambda x: (x[0], x[1], x[2]))
v.sub(1).interpolate(lambda x: (x[0], x[1],x[2]))
VCG1 = fem.VectorFunctionSpace(mesh, ("CG", 1))
u = fem.Function(VCG1)
u.interpolate(v.sub(0))
coords = VCG1.tabulate_dof_coordinates()
for i, coord in enumerate(coords):
print("Coord ", coord, "Value: ", end="")
for b in range(VCG1.dofmap.bs):
print(u.x.array[i*VCG1.dofmap.bs+b],end=" ")
print("")