Theorems · Theorem · general topology

Filter.HasBasis.inf_principal

∀ {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), (l ⊓ Filter.principal s').HasBasis p fun i => s i ∩ s'

Defined in

Mathlib.Order.Filter.Bases.Basic

Cited by

18 results in Mathlib

Foundations

Depth 67 from the axioms · uses propext, Classical.choice, Quot.sound