CVXPY
Maximize
  x
Subject To
 4: maximum(x, 1.0) <= 2.0
Bounds
 x free
End
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AFTER COMPILATION
Minimize
  - x_0
Subject To
 R0: x_0 - x_1 <= 0
 R1: - x_1 <= -1
 R2: x_1 <= 2
Bounds
 x_0 free
 x_1 >= 1
End
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GUROBI
Maximize
  x
Subject To
 4: maximum_1 <= 2
Bounds
 x free
 maximum_1 free
General Constraints
 GC0: maximum_1 = MAX ( x , 1 )
End