Theorems · Definition · general topology

ShrinkingLemma.PartialRefinement.chainSupCarrier

{ι : Type u_1} →
  {X : Type u_2} →
    [inst : TopologicalSpace X] →
      {u : ι → Set X} → {s : Set X} → {p : Set X → Prop} → Set (ShrinkingLemma.PartialRefinement u s p) → Set ι

The carrier of the least upper bound of a non-empty chain of partial refinements is the union of their carriers.

Defined in

Mathlib.Topology.ShrinkingLemma

Cited by

1 results in Mathlib

Foundations

Depth 6 from the axioms · uses no axioms

Assumes

TopologicalSpace