--- /dev/null +++ b/Mathlib/Unsorry/SumRangeOddEqSq.lean @@ -0,0 +1,14 @@ +/- +Copyright (c) 2026 Chris Barlow. All rights reserved. +Released under Apache 2.0 license as described in the file LICENSE. +Authors: Chris Barlow +-/ +import Mathlib.Algebra.BigOperators.Group.Finset.Basic +import Mathlib.Tactic.Ring + +theorem sum_range_odd_eq_sq (n : ℕ) : ∑ i ∈ Finset.range n, (2 * i + 1) = n ^ 2 := by + induction n with + | zero => simp + | succ k ih => + rw [Finset.sum_range_succ, ih] + ring