cases f
α : Type u_1
f g : Ultrafilter α
h : Coe.coe f = Coe.coe g
⊢ f = g
case mk
α : Type u_1
g : Ultrafilter α
as_filter✝ : Filter α
ne_bot✝ : as_filter✝ ≠ ⊥
le_of_le✝ : ∀ {g : Filter α}, g ≠ ⊥ → g ≤ as_filter✝ → as_filter✝ ≤ g
h : Coe.coe { as_filter := as_filter✝, ne_bot := ne_bot✝, le_of_le := le_of_le✝ } = Coe.coe g
⊢ { as_filter := as_filter✝, ne_bot := ne_bot✝, le_of_le := le_of_le✝ } = g