SymPy simplify relational (inequality) expression

Question

Why doesn't the following simplification work, or how could it be fixed:

>>> x = Symbol('x', real=True)
>>> y = Symbol('y', real=True)
>>> simplify(x - 1 < y - 1)
x - 1 < y - 1

But this works:

>>> simplify(x - 1 - (y - 1) < 0)
x - y < 0

Can somehow the first expression be simplified to x < y?

Thanks

Answer 1

You could solve for x:

import sympy as sy
x, y = sy.symbols('x,y', real=True)
print(sy.solve(x - 1 < y - 1, x))

yields

x < y

---

x, y, z = sy.symbols('x,y,z', real=True)
print(sy.solve(x - 1 < y*z - 1, x))

yields

x < y*z