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← HasPropertyB
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Lean 4.29.1
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Mathlib v4.29.1
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12 days ago
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Lean 4 / Mathlib
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import Mathlib /-- A family `(A_i)_{i ∈ I}` of subsets of `α` has **Property B** if there exists a 2-colouring `f : α → Fin 2` such that no `A_i` is monochromatic. -/ def HasPropertyB {α : Type*} (I : Type*) (A : I → Set α) : Prop := ∃ f : α → Fin 2, ∀ i, ¬IsMonochromatic f (A i)
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