Theorems · Theorem · general topology

Set.Finite.interior_biInter

∀ {X : Type u} [inst : TopologicalSpace X] {ι : Type u_1} {s : Set ι},
  s.Finite → ∀ (f : ι → Set X), interior (⋂ i ∈ s, f i) = ⋂ i ∈ s, interior (f i)

Defined in

Mathlib.Topology.Closure

Cited by

5 results in Mathlib

Foundations

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

Assumes

TopologicalSpace