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@Yannik-Spitzley Yannik-Spitzley commented Nov 20, 2025

This formalizes Erdős Problem 414. If anything needs or should be changed, let me know.

fixes #717

$i$ and $j$ such that $h_i(m) = h_j(n)$?
-/
@[category research open, AMS 11]
theorem erdos_414 : (∀ᵉ (m) (n), ∃ i j, h^[i] m = h^[j] n) ↔ answer(sorry) := by
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Note that you'll need to restrict to positive m and n otherwise the theorem is false for silly reasons!

Suggested change
theorem erdos_414 : (∀ᵉ (m) (n), ∃ i j, h^[i] m = h^[j] n) ↔ answer(sorry) := by
theorem erdos_414 : (∀ᵉ (m > 0) (n > 0), ∃ i j, h^[i] m = h^[j] n) ↔ answer(sorry) := by

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Erdős Problem 414

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