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Complete this python program:
def _check_antecedents(g1, g2, x):
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#Here is the Python program you requested.

    """Return a condition under which the integral theorem applies.
    """
    from sympy import re, Eq, Ne, cos, I, exp, sin, sign, unpolarify
    from sympy import arg as arg_, unbranched_argument as arg
    (sigma, _) = _get_coeff_exp(g1.argument, x)
    (omega, _) = _get_coeff_exp(g2.argument, x)
    (s, t, u, v) = S([len(g1.bm), len(g1.an), len(g1.ap), len(g1.bq)])
    (m, n, p, q) = S([len(g2.bm), len(g2.an), len(g2.ap), len(g2.bq)])
    bstar = ((s + t) - ((u + v) / 2))
    cstar = ((m + n) - ((p + q) / 2))
    rho = ((g1.nu + ((u - v) / 2)) + 1)
    mu = ((g2.nu + ((p - q) / 2)) + 1)
    phi = ((q - p) - (v - u))
    eta = (((1 - (v - u)) - mu) - rho)
    psi = (((pi * ((q - m) - n)) + abs(arg(omega))) / (q - p))
    theta = (((pi * ((v - s) - t)) + abs(arg(sigma))) / (v - u))
    _debug('Checking    antecedents:')
    _debug(('        sigma=%s,    s=%s,    t=%s,    u=%s,    v=%s,    b*=%s,    rho=%s' % (sigma, s, t, u, v, bstar, rho)))
    _debug(('        omega=%s,    m=%s,    n=%s,    p=%s,    q=%s,    c*=%s,    mu=%s,' % (omega, m, n, p, q, cstar, mu)))
    _debug(('        phi=%s,    eta=%s,    psi=%s,    theta=%s' % (phi, eta, psi, theta)))
    def _c1():
        for g in [g1, g2]:
            for i in g.an:
                for j in g.bm:
                    diff = (i - j)
                    if (diff.is_integer and diff.is_positive):
                        return False
        return True
    c1 = _c1()
    c2 = And(*[(re(((1 + i) + j)) > 0) for i in g1.bm for j in g2.bm])
    c3 = And(*[(re(((1 + i) + j)) < (1 + 1)) for i in g1.an for j in g2.an])
    c4 = And(*[((((p - q) * re(((1 + i) - 1))) - re(mu)) > ((- S(3)) / 2)) for i in g1.an])
    c5 = And(*[((((p - q) * re((1 + i))) - re(mu)) > ((- S(3)) / 2)) for i in g1.bm])
    c6 = And(*[((((u - v) * re(((1 + i) - 1))) - re(rho)) > ((- S(3)) / 2)) for i in g2.an])
    c7 = And(*[((((u - v) * re((1 + i))) - re(rho)) > ((- S(3)) / 2)) for i in g2.bm])
    c8 = ((abs(phi) + (2 * re(((((rho - 1) * (q - p)) + ((v - u) * (q - p))) + ((mu - 1) * (v - u)))))) > 0)
    c9 = ((abs(phi) - (2 * re(((((rho - 1) * (q - p)) + ((v -...