∀ {a b : Lean.Expr} {natStructId : ℕ} {lhs rhs : Lean.Meta.Grind.Arith.Linear.LinExpr} {a_1 b_1 : Lean.Expr}
  {natStructId_1 : ℕ} {lhs_1 rhs_1 : Lean.Meta.Grind.Arith.Linear.LinExpr},
  Lean.Meta.Grind.Arith.Linear.EqCnstrProof.coreOfNat a b natStructId lhs rhs =
      Lean.Meta.Grind.Arith.Linear.EqCnstrProof.coreOfNat a_1 b_1 natStructId_1 lhs_1 rhs_1 →
    a = a_1 ∧ b = b_1 ∧ natStructId = natStructId_1 ∧ lhs = lhs_1 ∧ rhs = rhs_1