Theorems · Theorem · general topology
Metric.isPreconnected_ball
∀ {E : Type u_1} [inst : NormedAddCommGroup E] [NormedSpace ℝ E] {x : E} {r : ℝ}, IsPreconnected (Metric.ball 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
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Cites7
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
- Metric.ballstatement · cited by 735
- IsPreconnectedstatement · cited by 205
- convex_ballproof · cited by 30
- Convex.isPreconnectedproof · cited by 14
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