CVXPY
Minimize
  Sum(X, None, False)
Subject To
 52: 1.0 <= min(X + [ 1. -2.], None, False)
Bounds
 X free
End
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AFTER COMPILATION
Minimize
  C0 + C1
Subject To
 R0: - C0 - C2 <= 1
 R1: - C1 - C2 <= -2
 R2: C2 <= -1
Bounds
 C0 free
 C1 free
 C2 free
End
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GUROBI
Minimize
  X[0] + X[1]
Subject To
 R0: - X[0] + AddExpression_1[0] = 1
 R1: - X[1] + AddExpression_1[1] = -2
 52: min_2 >= 1
Bounds
 X[0] free
 X[1] free
 AddExpression_1[0] free
 AddExpression_1[1] free
 min_2 free
General Constraints
 GC0: min_2 = MIN ( AddExpression_1[0] , AddExpression_1[1] )
End