3 problems

Shifted Lubell conjecture. For every $P$-free family $\mathcal{F}$,

Shifted Lubell bound conjecture. Every induced diamond-free family $\mathcal{F}$ satisfies

Lu–Milans conjecture. For every poset $P$, there is a constant $C$ such that every induced $P$-free family $\mathcal{F}$ satisfies