Theorems · Theorem · general topology
Metric.isPreconnected_eball
∀ {E : Type u_1} [inst : NormedAddCommGroup E] [NormedSpace ℝ E] {x : E} {r : ENNReal},
IsPreconnected (Metric.eball x r)- Defined in
- Mathlib.Analysis.Normed.Module.Connected
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 163 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites8
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Realstatement and proof · cited by 25,697
- NormedAddCommGroupstatement and proof · cited by 15,752
- NormedSpacestatement and proof · cited by 12,499
- ENNRealstatement and proof · cited by 9,879
- Metric.eballstatement · cited by 294
- IsPreconnectedstatement · cited by 205
- Convex.isPreconnectedproof · cited by 14
- convex_eballproof · cited by 3
Cited by0
Results whose statement or proof uses this declaration.
Nothing cites this yet.