cvxpy.min or cvxpy.max in constraints

Question

The following is my code:

import cvxpy as cp

alpha = 0.3
lamda_1 = 0.5
lamda_2 = 1.2

mu1 = cp.Variable(pos=True)
mu2 = cp.Variable(pos=True)
p_ev_max = 50
eps = 0.05
S1 = cp.Variable(pos=True)
S2 = cp.Variable(pos=True)
S = cp.Parameter(pos=True)
S.value = 200
# time resolution is 15 mins
obj = cp.Minimize(1/(mu1 - lamda_1)+1/(mu2 - lamda_2))
constraints = [
    mu1 == cp.min(p_ev_max, (1+eps)*S1),
    mu2 == cp.min(p_ev_max, (1+eps)*S2),
    S == S1 + S2,
]
prob = cp.Problem(objective= obj, constraints = constraints)
prob.solve(gp=True, requires_grad=True)

I get this error for using cp.min function:

Traceback (most recent call last):
  File "<input>", line 32, in <module>
  File "~/Library/Python/3.8/lib/python/site-packages/cvxpy/expressions/expression.py", line 661, in __lt__
    raise NotImplementedError("Strict inequalities are not allowed.")
NotImplementedError: Strict inequalities are not allowed.

I wonder how I am supposed to use the cvxpy min max function. I searched for the error but they were not relevant to using cp.min in the constraints.