erdos_590.variants.finite_cardinal

Let m be a finite cardinal $< \omega$. Let $α$ be the infinite ordinal $\omega^{\omega}$. It was proved by Milnor that any red/blue colouring of the edges of $K_α$ there is either a red $K_α$ or a blue $K_3$. A shorter proof was found by Larson [La73]

theorem erdos_590.variants.finite_cardinal (m : ℕ) : OrdinalCardinalRamsey (ω ^ ω) (ω ^ ω) m

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