Theorems · Theorem · general topology

Filter.HasBasis.principal_inf

∀ {α : Type u_1} {ι : Sort u_4} {l : Filter α} {p : ι → Prop} {s : ι → Set α},
  l.HasBasis p s → ∀ (s' : Set α), (Filter.principal s' ⊓ l).HasBasis p fun i => s' ∩ s i

Defined in

Mathlib.Order.Filter.Bases.Basic

Cited by

1 results in Mathlib

Foundations

Depth 68 from the axioms · uses propext, Classical.choice, Quot.sound