Theorems · Theorem · general topology

ShrinkingLemma.PartialRefinement.subset_iUnion

∀ {ι : Type u_1} {X : Type u_2} [inst : TopologicalSpace X] {u : ι → Set X} {s : Set X} {p : Set X → Prop}
  (self : ShrinkingLemma.PartialRefinement u s p), s ⊆ ⋃ i, self.toFun i

The partially refined family still covers the set.

Defined in

Mathlib.Topology.ShrinkingLemma

Cited by

4 results in Mathlib

Foundations

Depth 6 from the axioms · uses no axioms

Assumes

TopologicalSpace