isPreconnected_of_forall_pair

∀ {α : Type u} [inst : TopologicalSpace α] {s : Set α},
  (∀ x ∈ s, ∀ y ∈ s, ∃ t ⊆ s, x ∈ t ∧ y ∈ t ∧ IsPreconnected t) → IsPreconnected s

If any two points of a set are contained in a preconnected subset, then the original set is preconnected as well.

Defined in: Mathlib.Topology.Connected.Basic
Cited by: 3 results in Mathlib
Foundations: Depth 61 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes: TopologicalSpace

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