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Theorems · Theorem · general topology

JoinedIn.joined_subtype

∀ {X : Type u_1} [inst : TopologicalSpace X] {x y : X} {F : Set X} (h : JoinedIn F x y), Joined ⟨x, ⋯⟩ ⟨y, ⋯⟩

If x and y are joined in the set F, then they are joined in the subtype F.

Defined in
Mathlib.Topology.Connected.PathConnected
Cited by
1 results in Mathlib
Foundations
Depth 122 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
TopologicalSpace

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