{P : Sort u} →
  {coeffs : Lean.Omega.Coeffs} →
    {constraint : Lean.Omega.Constraint} →
      {justification : Lean.Elab.Tactic.Omega.Justification constraint coeffs} →
        {coeffs' : Lean.Omega.Coeffs} →
          {constraint' : Lean.Omega.Constraint} →
            {justification' : Lean.Elab.Tactic.Omega.Justification constraint' coeffs'} →
              { coeffs := coeffs, constraint := constraint, justification := justification } =
                  { coeffs := coeffs', constraint := constraint', justification := justification' } →
                (coeffs = coeffs' → constraint = constraint' → justification ≍ justification' → P) → P