α : Type u_1
β : Type ?u.2653
ι : Sort ?u.2656
l l' la : Filter α
lb : Filter β
⊢ Monotone powerset
α : Type u_1
β : Type ?u.2653
ι : Sort ?u.2656
l l' la : Filter α
lb : Filter β
⊢ smallSets ⊥ = pure ∅
rw [smallSets, lift'_bot, powerset_empty, principal_singleton]
no goals
α : Type u_1
β : Type ?u.2653
ι : Sort ?u.2656
l l' la : Filter α
lb : Filter β
⊢ Monotone powerset
exact monotone_powerset