old_contents: """rename this to test_assumptions.py when the old assumptions system is deleted"""
  from sympy.abc import x, y
  from sympy.assumptions import global_assumptions, Predicate
  from sympy.assumptions.ask import _extract_facts, Q
  from sympy.core import symbols
  from sympy.logic.boolalg import Or
  from sympy.printing import pretty
  
  def test_equal():
      """Test for equality"""
      assert Q.positive(x)  == Q.positive(x)
      assert Q.positive(x)  != ~Q.positive(x)
      assert ~Q.positive(x) == ~Q.positive(x)
  
  def test_pretty():
      assert pretty(Q.positive(x)) == "Q.positive(x)"
  
  def test_extract_facts():
      a, b = symbols('a b', cls=Predicate)
      assert _extract_facts(a(x), x)  == a
      assert _extract_facts(a(x), y)  == None
      assert _extract_facts(~a(x), x) == ~a
      assert _extract_facts(~a(x), y) == None
      assert _extract_facts(a(x) | b(x), x) == a | b
      assert _extract_facts(a(x) | ~b(x), x) == a | ~b
  
  def test_global():
      """Test for global assumptions"""
      global_assumptions.add(Q.is_true(x > 0))
      assert Q.is_true(x > 0) in global_assumptions
      global_assumptions.remove(Q.is_true(x > 0))
      assert not Q.is_true(x > 0) in global_assumptions
      # same with multiple of assumptions
      global_assumptions.add(Q.is_true(x > 0), Q.is_true(y > 0))
      assert Q.is_true(x > 0) in global_assumptions
      assert Q.is_true(y > 0) in global_assumptions
      global_assumptions.clear()
      assert not Q.is_true(x > 0) in global_assumptions
      assert not Q.is_true(y > 0) in global_assumptions
  
  def test_composite_predicates():
      pred = Q.integer | ~Q.positive
      assert type(pred(x)) is Or
      assert pred(x) == Q.integer(x) | ~Q.positive(x)
  
new_contents: """rename this to test_assumptions.py when the old assumptions system is deleted"""
  from sympy.abc import x, y
  from sympy.assumptions import global_assumptions, Predicate
  from sympy.assumptions.ask import _extract_facts, Q
  from sympy.core import symbols
  from sympy.logic.boolalg import Or
  from sympy.printing import pretty
  
  def test_equal():
      """Test for equality"""
      assert Q.positive(x)  == Q.positive(x)
      assert Q.positive(x)  != ~Q.positive(x)
      assert ~Q.positive(x) == ~Q.positive(x)
  
  def test_pretty():
      assert pretty(Q.positive(x)) == "Q.positive(x)"
      assert pretty(set([Q.positive, Q.integer])) == "set([Q.integer, Q.positive])"
  
  def test_extract_facts():
      a, b = symbols('a b', cls=Predicate)
      assert _extract_facts(a(x), x)  == a
      assert _extract_facts(a(x), y)  == None
      assert _extract_facts(~a(x), x) == ~a
      assert _extract_facts(~a(x), y) == None
      assert _extract_facts(a(x) | b(x), x) == a | b
      assert _extract_facts(a(x) | ~b(x), x) == a | ~b
  
  def test_global():
      """Test for global assumptions"""
      global_assumptions.add(Q.is_true(x > 0))
      assert Q.is_true(x > 0) in global_assumptions
      global_assumptions.remove(Q.is_true(x > 0))
      assert not Q.is_true(x > 0) in global_assumptions
      # same with multiple of assumptions
      global_assumptions.add(Q.is_true(x > 0), Q.is_true(y > 0))
      assert Q.is_true(x > 0) in global_assumptions
      assert Q.is_true(y > 0) in global_assumptions
      global_assumptions.clear()
      assert not Q.is_true(x > 0) in global_assumptions
      assert not Q.is_true(y > 0) in global_assumptions
  
  def test_composite_predicates():
      pred = Q.integer | ~Q.positive
      assert type(pred(x)) is Or
      assert pred(x) == Q.integer(x) | ~Q.positive(x)
  
subject: Test the sorting of Predicates within a set.