CVXPY
Minimize
  max(X, None, False)
Subject To
 5: 1.0 <= X
Bounds
 X free
End
----------------------------------------
AFTER COMPILATION
Minimize
  C0
Subject To
 R0: - C0 + C1 <= 0
 R1: - C0 + C2 <= 0
 R2: - C1 <= -1
 R3: - C2 <= -1
Bounds
 C0 free
 C1 free
 C2 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