def test_float_1():
z = 1.0
assert ask(Q.commutative(z)) == True
assert ask(Q.integer(z)) == True
assert ask(Q.rational(z)) == True
assert ask(Q.real(z)) == True
assert ask(Q.complex(z)) == True
assert ask(Q.irrational(z)) == False
assert ask(Q.imaginary(z)) == False
assert ask(Q.positive(z)) == True
assert ask(Q.negative(z)) == False
assert ask(Q.even(z)) == False
assert ask(Q.odd(z)) == True
assert ask(Q.bounded(z)) == True
assert ask(Q.infinitesimal(z)) == False
assert ask(Q.prime(z)) == False
assert ask(Q.composite(z)) == True
z = 7.2123
assert ask(Q.commutative(z)) == True
assert ask(Q.integer(z)) == False
assert ask(Q.rational(z)) == True
assert ask(Q.real(z)) == True
assert ask(Q.complex(z)) == True
assert ask(Q.irrational(z)) == False
assert ask(Q.imaginary(z)) == False
assert ask(Q.positive(z)) == True
assert ask(Q.negative(z)) == False
assert ask(Q.even(z)) == False
assert ask(Q.odd(z)) == False
assert ask(Q.bounded(z)) == True
assert ask(Q.infinitesimal(z)) == False
assert ask(Q.prime(z)) == False
assert ask(Q.composite(z)) == False
def test_float_1():
z = 1.0
assert ask(Q.commutative(z)) == True
assert ask(Q.integer(z)) == True
assert ask(Q.rational(z)) == True
assert ask(Q.real(z)) == True
assert ask(Q.complex(z)) == True
assert ask(Q.irrational(z)) == False
assert ask(Q.imaginary(z)) == False
assert ask(Q.positive(z)) == True
assert ask(Q.negative(z)) == False
assert ask(Q.even(z)) == False
assert ask(Q.odd(z)) == True
assert ask(Q.bounded(z)) == True
assert ask(Q.infinitesimal(z)) == False
assert ask(Q.prime(z)) == False
assert ask(Q.composite(z)) == True
z = 7.2123
assert ask(Q.commutative(z)) == True
assert ask(Q.integer(z)) == False
assert ask(Q.rational(z)) == True
assert ask(Q.real(z)) == True
assert ask(Q.complex(z)) == True
assert ask(Q.irrational(z)) == False
assert ask(Q.imaginary(z)) == False
assert ask(Q.positive(z)) == True
assert ask(Q.negative(z)) == False
assert ask(Q.even(z)) == False
assert ask(Q.odd(z)) == False
assert ask(Q.bounded(z)) == True
assert ask(Q.infinitesimal(z)) == False
assert ask(Q.prime(z)) == False
assert ask(Q.composite(z)) == False
def test_I():
I = S.ImaginaryUnit
z = I
assert ask(Q.commutative(z)) == True
assert ask(Q.integer(z)) == False
assert ask(Q.rational(z)) == False
assert ask(Q.real(z)) == False
assert ask(Q.complex(z)) == True
assert ask(Q.irrational(z)) == False
assert ask(Q.imaginary(z)) == True
assert ask(Q.positive(z)) == False
assert ask(Q.negative(z)) == False
assert ask(Q.even(z)) == False
assert ask(Q.odd(z)) == False
assert ask(Q.bounded(z)) == True
assert ask(Q.infinitesimal(z)) == False
assert ask(Q.prime(z)) == False
assert ask(Q.composite(z)) == False
z = 1 + I
assert ask(Q.commutative(z)) == True
assert ask(Q.integer(z)) == False
assert ask(Q.rational(z)) == False
assert ask(Q.real(z)) == False
assert ask(Q.complex(z)) == True
assert ask(Q.irrational(z)) == False
assert ask(Q.imaginary(z)) == False
assert ask(Q.positive(z)) == False
assert ask(Q.negative(z)) == False
assert ask(Q.even(z)) == False
assert ask(Q.odd(z)) == False
assert ask(Q.bounded(z)) == True
assert ask(Q.infinitesimal(z)) == False
assert ask(Q.prime(z)) == False
assert ask(Q.composite(z)) == False
z = I*(1+I)
assert ask(Q.commutative(z)) == True
assert ask(Q.integer(z)) == False
assert ask(Q.rational(z)) == False
assert ask(Q.real(z)) == False
assert ask(Q.complex(z)) == True
assert ask(Q.irrational(z)) == False
assert ask(Q.imaginary(z)) == False
assert ask(Q.positive(z)) == False
assert ask(Q.negative(z)) == False
assert ask(Q.even(z)) == False
assert ask(Q.odd(z)) == False
assert ask(Q.bounded(z)) == True
assert ask(Q.infinitesimal(z)) == False
assert ask(Q.prime(z)) == False
assert ask(Q.composite(z)) == False
def test_I():
I = S.ImaginaryUnit
z = I
assert ask(Q.commutative(z)) == True
assert ask(Q.integer(z)) == False
assert ask(Q.rational(z)) == False
assert ask(Q.real(z)) == False
assert ask(Q.complex(z)) == True
assert ask(Q.irrational(z)) == False
assert ask(Q.imaginary(z)) == True
assert ask(Q.positive(z)) == False
assert ask(Q.negative(z)) == False
assert ask(Q.even(z)) == False
assert ask(Q.odd(z)) == False
assert ask(Q.bounded(z)) == True
assert ask(Q.infinitesimal(z)) == False
assert ask(Q.prime(z)) == False
assert ask(Q.composite(z)) == False
z = 1 + I
assert ask(Q.commutative(z)) == True
assert ask(Q.integer(z)) == False
assert ask(Q.rational(z)) == False
assert ask(Q.real(z)) == False
assert ask(Q.complex(z)) == True
assert ask(Q.irrational(z)) == False
assert ask(Q.imaginary(z)) == False
assert ask(Q.positive(z)) == False
assert ask(Q.negative(z)) == False
assert ask(Q.even(z)) == False
assert ask(Q.odd(z)) == False
assert ask(Q.bounded(z)) == True
assert ask(Q.infinitesimal(z)) == False
assert ask(Q.prime(z)) == False
assert ask(Q.composite(z)) == False
z = I * (1 + I)
assert ask(Q.commutative(z)) == True
assert ask(Q.integer(z)) == False
assert ask(Q.rational(z)) == False
assert ask(Q.real(z)) == False
assert ask(Q.complex(z)) == True
assert ask(Q.irrational(z)) == False
assert ask(Q.imaginary(z)) == False
assert ask(Q.positive(z)) == False
assert ask(Q.negative(z)) == False
assert ask(Q.even(z)) == False
assert ask(Q.odd(z)) == False
assert ask(Q.bounded(z)) == True
assert ask(Q.infinitesimal(z)) == False
assert ask(Q.prime(z)) == False
assert ask(Q.composite(z)) == False
def Mul(expr, assumptions):
"""
Infinitesimal*Bounded -> Infinitesimal
"""
if expr.is_number:
return AskInfinitesimalHandler._number(expr, assumptions)
result = False
for arg in expr.args:
if ask(Q.infinitesimal(arg), assumptions):
result = True
elif ask(Q.bounded(arg), assumptions):
continue
else: break
else:
return result
def Mul(expr, assumptions):
"""
Infinitesimal*Bounded -> Infinitesimal
"""
if expr.is_number:
return AskInfinitesimalHandler._number(expr, assumptions)
result = False
for arg in expr.args:
if ask(Q.infinitesimal(arg), assumptions):
result = True
elif ask(Q.bounded(arg), assumptions):
continue
else:
break
else:
return result
def test_zero_0():
z = Integer(0)
assert ask(Q.nonzero(z)) == False
assert ask(Q.commutative(z)) == True
assert ask(Q.integer(z)) == True
assert ask(Q.rational(z)) == True
assert ask(Q.real(z)) == True
assert ask(Q.complex(z)) == True
assert ask(Q.imaginary(z)) == False
assert ask(Q.positive(z)) == False
assert ask(Q.negative(z)) == False
assert ask(Q.even(z)) == True
assert ask(Q.odd(z)) == False
assert ask(Q.bounded(z)) == True
assert ask(Q.infinitesimal(z)) == True
assert ask(Q.prime(z)) == False
assert ask(Q.composite(z)) == False
def test_zero_0():
z = Integer(0)
assert ask(Q.nonzero(z)) == False
assert ask(Q.commutative(z)) == True
assert ask(Q.integer(z)) == True
assert ask(Q.rational(z)) == True
assert ask(Q.real(z)) == True
assert ask(Q.complex(z)) == True
assert ask(Q.imaginary(z)) == False
assert ask(Q.positive(z)) == False
assert ask(Q.negative(z)) == False
assert ask(Q.even(z)) == True
assert ask(Q.odd(z)) == False
assert ask(Q.bounded(z)) == True
assert ask(Q.infinitesimal(z)) == True
assert ask(Q.prime(z)) == False
assert ask(Q.composite(z)) == False
def test_E():
z = S.Exp1
assert ask(Q.commutative(z)) == True
assert ask(Q.integer(z)) == False
assert ask(Q.rational(z)) == False
assert ask(Q.real(z)) == True
assert ask(Q.complex(z)) == True
assert ask(Q.irrational(z)) == True
assert ask(Q.imaginary(z)) == False
assert ask(Q.positive(z)) == True
assert ask(Q.negative(z)) == False
assert ask(Q.even(z)) == False
assert ask(Q.odd(z)) == False
assert ask(Q.bounded(z)) == True
assert ask(Q.infinitesimal(z)) == False
assert ask(Q.prime(z)) == False
assert ask(Q.composite(z)) == False
def test_E():
z = S.Exp1
assert ask(Q.commutative(z)) == True
assert ask(Q.integer(z)) == False
assert ask(Q.rational(z)) == False
assert ask(Q.real(z)) == True
assert ask(Q.complex(z)) == True
assert ask(Q.irrational(z)) == True
assert ask(Q.imaginary(z)) == False
assert ask(Q.positive(z)) == True
assert ask(Q.negative(z)) == False
assert ask(Q.even(z)) == False
assert ask(Q.odd(z)) == False
assert ask(Q.bounded(z)) == True
assert ask(Q.infinitesimal(z)) == False
assert ask(Q.prime(z)) == False
assert ask(Q.composite(z)) == False
def test_Rational_number():
r = Rational(3,4)
assert ask(Q.commutative(r)) == True
assert ask(Q.integer(r)) == False
assert ask(Q.rational(r)) == True
assert ask(Q.real(r)) == True
assert ask(Q.complex(r)) == True
assert ask(Q.irrational(r)) == False
assert ask(Q.imaginary(r)) == False
assert ask(Q.positive(r)) == True
assert ask(Q.negative(r)) == False
assert ask(Q.even(r)) == False
assert ask(Q.odd(r)) == False
assert ask(Q.bounded(r)) == True
assert ask(Q.infinitesimal(r)) == False
assert ask(Q.prime(r)) == False
assert ask(Q.composite(r)) == False
r = Rational(1,4)
assert ask(Q.positive(r)) == True
assert ask(Q.negative(r)) == False
r = Rational(5,4)
assert ask(Q.negative(r)) == False
assert ask(Q.positive(r)) == True
r = Rational(5,3)
assert ask(Q.positive(r)) == True
assert ask(Q.negative(r)) == False
r = Rational(-3,4)
assert ask(Q.positive(r)) == False
assert ask(Q.negative(r)) == True
r = Rational(-1,4)
assert ask(Q.positive(r)) == False
assert ask(Q.negative(r)) == True
r = Rational(-5,4)
assert ask(Q.negative(r)) == True
assert ask(Q.positive(r)) == False
r = Rational(-5,3)
assert ask(Q.positive(r)) == False
assert ask(Q.negative(r)) == True
def test_Rational_number():
r = Rational(3, 4)
assert ask(Q.commutative(r)) == True
assert ask(Q.integer(r)) == False
assert ask(Q.rational(r)) == True
assert ask(Q.real(r)) == True
assert ask(Q.complex(r)) == True
assert ask(Q.irrational(r)) == False
assert ask(Q.imaginary(r)) == False
assert ask(Q.positive(r)) == True
assert ask(Q.negative(r)) == False
assert ask(Q.even(r)) == False
assert ask(Q.odd(r)) == False
assert ask(Q.bounded(r)) == True
assert ask(Q.infinitesimal(r)) == False
assert ask(Q.prime(r)) == False
assert ask(Q.composite(r)) == False
r = Rational(1, 4)
assert ask(Q.positive(r)) == True
assert ask(Q.negative(r)) == False
r = Rational(5, 4)
assert ask(Q.negative(r)) == False
assert ask(Q.positive(r)) == True
r = Rational(5, 3)
assert ask(Q.positive(r)) == True
assert ask(Q.negative(r)) == False
r = Rational(-3, 4)
assert ask(Q.positive(r)) == False
assert ask(Q.negative(r)) == True
r = Rational(-1, 4)
assert ask(Q.positive(r)) == False
assert ask(Q.negative(r)) == True
r = Rational(-5, 4)
assert ask(Q.negative(r)) == True
assert ask(Q.positive(r)) == False
r = Rational(-5, 3)
assert ask(Q.positive(r)) == False
assert ask(Q.negative(r)) == True
def test_nan():
nan = S.NaN
assert ask(Q.commutative(nan)) == True
assert ask(Q.integer(nan)) == False
assert ask(Q.rational(nan)) == False
assert ask(Q.real(nan)) == False
assert ask(Q.extended_real(nan)) == False
assert ask(Q.complex(nan)) == False
assert ask(Q.irrational(nan)) == False
assert ask(Q.imaginary(nan)) == False
assert ask(Q.positive(nan)) == False
assert ask(Q.nonzero(nan)) == True
assert ask(Q.even(nan)) == False
assert ask(Q.odd(nan)) == False
assert ask(Q.bounded(nan)) == False
assert ask(Q.infinitesimal(nan)) == False
assert ask(Q.prime(nan)) == False
assert ask(Q.composite(nan)) == False
def test_neg_infinity():
mm = S.NegativeInfinity
assert ask(Q.commutative(mm)) == True
assert ask(Q.integer(mm)) == False
assert ask(Q.rational(mm)) == False
assert ask(Q.real(mm)) == False
assert ask(Q.extended_real(mm)) == True
assert ask(Q.complex(mm)) == False
assert ask(Q.irrational(mm)) == False
assert ask(Q.imaginary(mm)) == False
assert ask(Q.positive(mm)) == False
assert ask(Q.negative(mm)) == True
assert ask(Q.even(mm)) == False
assert ask(Q.odd(mm)) == False
assert ask(Q.bounded(mm)) == False
assert ask(Q.infinitesimal(mm)) == False
assert ask(Q.prime(mm)) == False
assert ask(Q.composite(mm)) == False
def test_infinity():
oo = S.Infinity
assert ask(Q.commutative(oo)) == True
assert ask(Q.integer(oo)) == False
assert ask(Q.rational(oo)) == False
assert ask(Q.real(oo)) == False
assert ask(Q.extended_real(oo)) == True
assert ask(Q.complex(oo)) == False
assert ask(Q.irrational(oo)) == False
assert ask(Q.imaginary(oo)) == False
assert ask(Q.positive(oo)) == True
assert ask(Q.negative(oo)) == False
assert ask(Q.even(oo)) == False
assert ask(Q.odd(oo)) == False
assert ask(Q.bounded(oo)) == False
assert ask(Q.infinitesimal(oo)) == False
assert ask(Q.prime(oo)) == False
assert ask(Q.composite(oo)) == False
def test_nan():
nan = S.NaN
assert ask(Q.commutative(nan)) == True
assert ask(Q.integer(nan)) == False
assert ask(Q.rational(nan)) == False
assert ask(Q.real(nan)) == False
assert ask(Q.extended_real(nan)) == False
assert ask(Q.complex(nan)) == False
assert ask(Q.irrational(nan)) == False
assert ask(Q.imaginary(nan)) == False
assert ask(Q.positive(nan)) == False
assert ask(Q.nonzero(nan)) == True
assert ask(Q.even(nan)) == False
assert ask(Q.odd(nan)) == False
assert ask(Q.bounded(nan)) == False
assert ask(Q.infinitesimal(nan)) == False
assert ask(Q.prime(nan)) == False
assert ask(Q.composite(nan)) == False
def test_neg_infinity():
mm = S.NegativeInfinity
assert ask(Q.commutative(mm)) == True
assert ask(Q.integer(mm)) == False
assert ask(Q.rational(mm)) == False
assert ask(Q.real(mm)) == False
assert ask(Q.extended_real(mm)) == True
assert ask(Q.complex(mm)) == False
assert ask(Q.irrational(mm)) == False
assert ask(Q.imaginary(mm)) == False
assert ask(Q.positive(mm)) == False
assert ask(Q.negative(mm)) == True
assert ask(Q.even(mm)) == False
assert ask(Q.odd(mm)) == False
assert ask(Q.bounded(mm)) == False
assert ask(Q.infinitesimal(mm)) == False
assert ask(Q.prime(mm)) == False
assert ask(Q.composite(mm)) == False
def test_infinity():
oo = S.Infinity
assert ask(Q.commutative(oo)) == True
assert ask(Q.integer(oo)) == False
assert ask(Q.rational(oo)) == False
assert ask(Q.real(oo)) == False
assert ask(Q.extended_real(oo)) == True
assert ask(Q.complex(oo)) == False
assert ask(Q.irrational(oo)) == False
assert ask(Q.imaginary(oo)) == False
assert ask(Q.positive(oo)) == True
assert ask(Q.negative(oo)) == False
assert ask(Q.even(oo)) == False
assert ask(Q.odd(oo)) == False
assert ask(Q.bounded(oo)) == False
assert ask(Q.infinitesimal(oo)) == False
assert ask(Q.prime(oo)) == False
assert ask(Q.composite(oo)) == False
def test_pi():
z = S.Pi
assert ask(Q.commutative(z)) == True
assert ask(Q.integer(z)) == False
assert ask(Q.rational(z)) == False
assert ask(Q.real(z)) == True
assert ask(Q.complex(z)) == True
assert ask(Q.irrational(z)) == True
assert ask(Q.imaginary(z)) == False
assert ask(Q.positive(z)) == True
assert ask(Q.negative(z)) == False
assert ask(Q.even(z)) == False
assert ask(Q.odd(z)) == False
assert ask(Q.bounded(z)) == True
assert ask(Q.infinitesimal(z)) == False
assert ask(Q.prime(z)) == False
assert ask(Q.composite(z)) == False
z = S.Pi + 1
assert ask(Q.commutative(z)) == True
assert ask(Q.integer(z)) == False
assert ask(Q.rational(z)) == False
assert ask(Q.real(z)) == True
assert ask(Q.complex(z)) == True
assert ask(Q.irrational(z)) == True
assert ask(Q.imaginary(z)) == False
assert ask(Q.positive(z)) == True
assert ask(Q.negative(z)) == False
assert ask(Q.even(z)) == False
assert ask(Q.odd(z)) == False
assert ask(Q.bounded(z)) == True
assert ask(Q.infinitesimal(z)) == False
assert ask(Q.prime(z)) == False
assert ask(Q.composite(z)) == False
z = 2 * S.Pi
assert ask(Q.commutative(z)) == True
assert ask(Q.integer(z)) == False
assert ask(Q.rational(z)) == False
assert ask(Q.real(z)) == True
assert ask(Q.complex(z)) == True
assert ask(Q.irrational(z)) == True
assert ask(Q.imaginary(z)) == False
assert ask(Q.positive(z)) == True
assert ask(Q.negative(z)) == False
assert ask(Q.even(z)) == False
assert ask(Q.odd(z)) == False
assert ask(Q.bounded(z)) == True
assert ask(Q.infinitesimal(z)) == False
assert ask(Q.prime(z)) == False
assert ask(Q.composite(z)) == False
z = S.Pi**2
assert ask(Q.commutative(z)) == True
assert ask(Q.integer(z)) == False
assert ask(Q.rational(z)) == False
assert ask(Q.real(z)) == True
assert ask(Q.complex(z)) == True
assert ask(Q.irrational(z)) == True
assert ask(Q.imaginary(z)) == False
assert ask(Q.positive(z)) == True
assert ask(Q.negative(z)) == False
assert ask(Q.even(z)) == False
assert ask(Q.odd(z)) == False
assert ask(Q.bounded(z)) == True
assert ask(Q.infinitesimal(z)) == False
assert ask(Q.prime(z)) == False
assert ask(Q.composite(z)) == False
z = (1 + S.Pi)**2
assert ask(Q.commutative(z)) == True
assert ask(Q.integer(z)) == False
assert ask(Q.rational(z)) == False
assert ask(Q.real(z)) == True
assert ask(Q.complex(z)) == True
assert ask(Q.irrational(z)) == True
assert ask(Q.imaginary(z)) == False
assert ask(Q.positive(z)) == True
assert ask(Q.negative(z)) == False
assert ask(Q.even(z)) == False
assert ask(Q.odd(z)) == False
assert ask(Q.bounded(z)) == True
assert ask(Q.infinitesimal(z)) == False
assert ask(Q.prime(z)) == False
assert ask(Q.composite(z)) == False
def test_infinitesimal():
x, y = symbols('x,y')
assert ask(Q.infinitesimal(x)) == None
assert ask(Q.infinitesimal(x), Q.infinitesimal(x)) == True
assert ask(Q.infinitesimal(2 * x), Q.infinitesimal(x)) == True
assert ask(Q.infinitesimal(x * y), Q.infinitesimal(x)) == None
assert ask(Q.infinitesimal(x * y),
Q.infinitesimal(x) & Q.infinitesimal(y)) == True
assert ask(Q.infinitesimal(x * y),
Q.infinitesimal(x) & Q.bounded(y)) == True
assert ask(Q.infinitesimal(x**2), Q.infinitesimal(x)) == True
def test_infinitesimal():
x, y = symbols('x,y')
assert ask(Q.infinitesimal(x)) == None
assert ask(Q.infinitesimal(x), Q.infinitesimal(x)) == True
assert ask(Q.infinitesimal(2*x), Q.infinitesimal(x)) == True
assert ask(Q.infinitesimal(x*y), Q.infinitesimal(x)) == None
assert ask(Q.infinitesimal(x*y), Q.infinitesimal(x) & Q.infinitesimal(y)) == True
assert ask(Q.infinitesimal(x*y), Q.infinitesimal(x) & Q.bounded(y)) == True
assert ask(Q.infinitesimal(x**2), Q.infinitesimal(x)) == True
def test_pi():
z = S.Pi
assert ask(Q.commutative(z)) == True
assert ask(Q.integer(z)) == False
assert ask(Q.rational(z)) == False
assert ask(Q.real(z)) == True
assert ask(Q.complex(z)) == True
assert ask(Q.irrational(z)) == True
assert ask(Q.imaginary(z)) == False
assert ask(Q.positive(z)) == True
assert ask(Q.negative(z)) == False
assert ask(Q.even(z)) == False
assert ask(Q.odd(z)) == False
assert ask(Q.bounded(z)) == True
assert ask(Q.infinitesimal(z)) == False
assert ask(Q.prime(z)) == False
assert ask(Q.composite(z)) == False
z = S.Pi + 1
assert ask(Q.commutative(z)) == True
assert ask(Q.integer(z)) == False
assert ask(Q.rational(z)) == False
assert ask(Q.real(z)) == True
assert ask(Q.complex(z)) == True
assert ask(Q.irrational(z)) == True
assert ask(Q.imaginary(z)) == False
assert ask(Q.positive(z)) == True
assert ask(Q.negative(z)) == False
assert ask(Q.even(z)) == False
assert ask(Q.odd(z)) == False
assert ask(Q.bounded(z)) == True
assert ask(Q.infinitesimal(z)) == False
assert ask(Q.prime(z)) == False
assert ask(Q.composite(z)) == False
z = 2*S.Pi
assert ask(Q.commutative(z)) == True
assert ask(Q.integer(z)) == False
assert ask(Q.rational(z)) == False
assert ask(Q.real(z)) == True
assert ask(Q.complex(z)) == True
assert ask(Q.irrational(z)) == True
assert ask(Q.imaginary(z)) == False
assert ask(Q.positive(z)) == True
assert ask(Q.negative(z)) == False
assert ask(Q.even(z)) == False
assert ask(Q.odd(z)) == False
assert ask(Q.bounded(z)) == True
assert ask(Q.infinitesimal(z)) == False
assert ask(Q.prime(z)) == False
assert ask(Q.composite(z)) == False
z = S.Pi ** 2
assert ask(Q.commutative(z)) == True
assert ask(Q.integer(z)) == False
assert ask(Q.rational(z)) == False
assert ask(Q.real(z)) == True
assert ask(Q.complex(z)) == True
assert ask(Q.irrational(z)) == True
assert ask(Q.imaginary(z)) == False
assert ask(Q.positive(z)) == True
assert ask(Q.negative(z)) == False
assert ask(Q.even(z)) == False
assert ask(Q.odd(z)) == False
assert ask(Q.bounded(z)) == True
assert ask(Q.infinitesimal(z)) == False
assert ask(Q.prime(z)) == False
assert ask(Q.composite(z)) == False
z = (1+S.Pi) ** 2
assert ask(Q.commutative(z)) == True
assert ask(Q.integer(z)) == False
assert ask(Q.rational(z)) == False
assert ask(Q.real(z)) == True
assert ask(Q.complex(z)) == True
assert ask(Q.irrational(z)) == True
assert ask(Q.imaginary(z)) == False
assert ask(Q.positive(z)) == True
assert ask(Q.negative(z)) == False
assert ask(Q.even(z)) == False
assert ask(Q.odd(z)) == False
assert ask(Q.bounded(z)) == True
assert ask(Q.infinitesimal(z)) == False
assert ask(Q.prime(z)) == False
assert ask(Q.composite(z)) == False
