Mathlib Map

Theorems · Definition · general topology

JoinedIn.somePath

{X : Type u_1} → [inst : TopologicalSpace X] → {x y : X} → {F : Set X} → JoinedIn F x y → Path x y

When x and y are joined in F, choose a path from x to y inside F

Defined in
Mathlib.Topology.Connected.PathConnected
Cited by
12 results in Mathlib
Foundations
Depth 120 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
TopologicalSpace

Around this declaration

Dashed lines are statement dependencies; solid lines are citations in proofs.

Cites4

Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.

  • Setstatement and proof · cited by 53,352
  • TopologicalSpacestatement and proof · cited by 24,529
  • Pathstatement · cited by 318
  • JoinedInstatement and proof · cited by 40

Cited by12

Results whose statement or proof uses this declaration.