CVXPY
Minimize
  max(X, None, False)
Subject To
 5: 1.0 <= X
Bounds
 X free
End
----------------------------------------
AFTER COMPILATION
Minimize
  x_0
Subject To
 R0: - x_0 + x_1 <= 0
 R1: - x_0 + x_2 <= 0
 R2: - x_1 <= -1
 R3: - x_2 <= -1
Bounds
 x_0 free
 x_1 free
 x_2 free
End
----------------------------------------
GUROBI
Minimize
  max_1
Subject To
 5[0]: X[0] >= 1
 5[1]: X[1] >= 1
Bounds
 X[0] free
 X[1] free
 max_1 free
General Constraints
 GC0: max_1 = MAX ( X[0] , X[1] )
End