Problem

erdos:1128

False ↔ ∀ (A B C : Type), Cardinal.mk A = Cardinal.aleph 1 → Cardinal.mk B = Cardinal.aleph 1 → Cardinal.mk C = Cardinal.aleph 1 → ∀ (f : A → B → C → Fin 2), ∃ A₁ B₁ C₁, Cardinal.mk ↑A₁ = Cardinal.aleph 0 ∧ Cardinal.mk ↑B₁ = Cardinal.aleph 0 ∧ Cardinal.mk ↑C₁ = Cardinal.aleph 0 ∧ Erdos1128.IsMonochromaticBox f A₁ B₁ C₁

Open Current State

Declared status: disproved
Formalization: formalized
Prize: $50
Subjects: set theoryramsey theoryhypergraphs
OEIS: N/A
Sources: source:erdos-problemssource:formal-conjectures
Statement: www.erdosproblems.com

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