Let F(),n≥2k. m-1 VS,T∈F,SnT卡0>IF≤ k-1 arbitrary IF=FI intersecting F shifted keep intersecting ↓ <(i》Let F ￾ ￾[n] k ⇥ , n ⇥ 2k. |F| ⇥ ￾n ￾ 1 k ￾ 1 ⇥ ⇤S, T ￾ F, S ⌃ T ⇥= ⌅ F arbitrary intersecting shifted F￾ |F| = |F￾ | keep intersecting |F| ⇥ ￾n ￾ 1 k ￾ 1 ⇥ |F￾ | ⇥ ￾n ￾ 1 k ￾ 1 ⇥