Abstract
Summary A rigorous elementary proof of the Basel problem [6, 1] ∑ n = 1 ∞ 1 n 2 = π 2 6 $$\sum\nolimits_{n = 1}^\infty {{1 \over {n^2 }} = {{\pi ^2 } \over 6}} $$ is formalized in the Mizar system [3]. This theorem is item #14 from the “Formalizing 100 Theorems” list maintained by Freek Wiedijk at http://www.cs.ru.nl/F.Wiedijk/100/.
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