Theorems · Definition · general topology

ShrinkingLemma.PartialRefinement.find

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

Choice of an element of a nonempty chain of partial refinements. If i belongs to one of carrier v, v ∈ c, then find c ne i is one of these partial refinements.

Defined in

Mathlib.Topology.ShrinkingLemma

Cited by

4 results in Mathlib

Foundations

Depth 12 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

TopologicalSpace