code: def test_ModuleElement_compatibility():
      T = Poly(cyclotomic_poly(5, x))
      A = PowerBasis(T)
      B = A.submodule_from_matrix(2 * DomainMatrix.eye(4, ZZ))
      C = B.submodule_from_matrix(3 * DomainMatrix.eye(4, ZZ))
      D = B.submodule_from_matrix(5 * DomainMatrix.eye(4, ZZ))
      assert C(0).is_compat(C(1)) is True
      assert C(0).is_compat(D(0)) is False
      u, v = C(0).unify(D(0))
      assert u.module is B and v.module is B
      assert C(C.represent(u)) == C(0) and D(D.represent(v)) == D(0)
  
      u, v = C(0).unify(C(1))
      assert u == C(0) and v == C(1)
  
      U = Poly(cyclotomic_poly(7, x))
      Z = PowerBasis(U)
      raises(UnificationFailed, lambda: C(0).unify(Z(1)))
  
imports: from sympy.abc import x, zeta
  from sympy.polys import Poly, cyclotomic_poly
  from sympy.polys.domains import FF, QQ, ZZ
  from sympy.polys.matrices import DomainMatrix, DM
  from sympy.polys.numberfields.exceptions import ClosureFailure, MissingUnityError, StructureError
  from sympy.polys.numberfields.modules import Module, ModuleElement, ModuleEndomorphism, PowerBasis, PowerBasisElement, find_min_poly, is_sq_maxrank_HNF, make_mod_elt, to_col
  from sympy.polys.numberfields.utilities import is_int
  from sympy.polys.polyerrors import UnificationFailed
  from sympy.testing.pytest import raises
label_desc: Use image node_id 40 for calling a global function with example usage: test_ModuleElement_compatibility() without return types