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rectangles_cover_unit_square

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Can a unit square be covered by rectangles of width `1 / (n + 1)` and height `1 / (n + 2)`?

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Lean 4 Statement 
theorem rectangles_cover_unit_square :
    answer(sorry) ↔ ∃ c : Configuration, ∀ p ∈ unitSquare, ∃ n, p ∈ (c.rect n).toSet
ID: Mathoverflow__34145__rectangles_cover_unit_square
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