#NEWLINE# def test_simplify( ) : #NEWLINE# #INDENT# ( y , t , b , c ) = symbols ( 'y, t, b, c' , integer = True ) #NEWLINE# assert ( simplify ( ( Product ( ( x * y ) , ( x , n , m ) , ( y , a , k ) ) * Product ( y , ( x , n , m ) , ( y , a , k ) ) ) ) == Product ( ( x * ( y ** 2 ) ) , ( x , n , m ) , ( y , a , k ) ) ) #NEWLINE# assert ( simplify ( ( ( ( 3 * y ) * Product ( x , ( x , n , m ) ) ) * Product ( x , ( x , ( m + 1 ) , a ) ) ) ) == ( ( 3 * y ) * Product ( x , ( x , n , a ) ) ) ) #NEWLINE# assert ( simplify ( ( Product ( x , ( x , ( k + 1 ) , a ) ) * Product ( x , ( x , n , k ) ) ) ) == Product ( x , ( x , n , a ) ) ) #NEWLINE# assert ( simplify ( ( Product ( x , ( x , ( k + 1 ) , a ) ) * Product ( ( x + 1 ) , ( x , n , k ) ) ) ) == ( Product ( x , ( x , ( k + 1 ) , a ) ) * Product ( ( x + 1 ) , ( x , n , k ) ) ) ) #NEWLINE# assert ( simplify ( ( ( Product ( x , ( t , a , b ) ) * Product ( y , ( t , a , b ) ) ) * Product ( x , ( t , ( y + 1 ) , c ) ) ) ) == ( Product ( ( x * y ) , ( t , a , b ) ) * Product ( x , ( t , ( b + 1 ) , c ) ) ) ) #NEWLINE# assert ( simplify ( ( ( Product ( x , ( t , a , b ) ) * Product ( x , ( t , ( b + 1 ) , c ) ) ) * Product ( y , ( t , a , b ) ) ) ) == ( Product ( ( x * y ) , ( t , a , b ) ) * Product ( x , ( t , ( b + 1 ) , c ) ) ) )