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Mathlib/RingTheory/Polynomial/Chebyshev.lean
@@ -496,7 +496,7 @@ theorem two_mul_T_eq_U_sub_U (n : ℤ) : 2 * T R (n + 2) = U R (n + 2) - U R n :
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theorem U_eq_two_mul_T_add_U (n : ℤ) : U R (n + 2) = 2 * T R (n + 2) + U R n := by
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linear_combination (norm := ring_nf) - (two_mul_T_eq_U_sub_U R n)
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-theorem U_mem_span_T (n : ℕ) : U R n ∈ Submodule.span ℕ {T R m | m ∈ Finset.Icc 0 n} := by
+theorem U_mem_span_T (n : ℕ) : U R n ∈ Submodule.span ℕ (T R m '' Set.Icc 0 n) := by
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induction n using Nat.twoStepInduction
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case zero => simp
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case one =>
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