Back to Problems

erdos_590.variants.ge_three_false

Specification

Specker [Sp57] proved that when $α=ω^n$ for $3≤ n < \omega$ then it is not the case that any red/blue colouring of the edges of $K_α$ there is either a red $K_α$ or a blue $K_3$.

Actions

Submit a Proof

Have a proof attempt? Submit it for zero-trust verification.

Submit Proof
Lean 4 Statement
theorem erdos_590.variants.ge_three_false {n : ℕ} (h : 3 ≤ n) :
    ¬ OrdinalCardinalRamsey (ω ^ n) (ω ^ n) 3
ID: ErdosProblems__590__erdos_590.variants.ge_three_false
Browse 300 unsolved math conjectures formalized in Lean 4
Browse

All Problems

Explore all 300 unsolved conjectures.

View problems →
ASI Prize documentation for formal verification pipeline
Docs

Verification Pipeline

How zero-trust verification works.

Read docs →
Evaluation Results

Recent Submissions

No submissions yet. Be the first to attempt this problem.