existsUnique_eq_principal_sup_free

∀ {α : Type u_2} (f : Filter α),
  ∃! p, p.2 ≤ Filter.cofinite ∧ Disjoint (Filter.principal p.1) p.2 ∧ f = Filter.principal p.1 ⊔ p.2

Every filter is the disjoint supremum of a principal filter and a free filter in a unique way.

Defined in: Mathlib.Order.Filter.Cofinite
Cited by: 1 results in Mathlib
Foundations: Depth 73 from the axioms · uses propext, Classical.choice, Quot.sound

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