Theorems · Theorem · general topology
OpenPartialHomeomorph.continuousOn_univBall_symm
∀ {E : Type u_1} [inst : SeminormedAddCommGroup E] [inst_1 : NormedSpace ℝ E] {P : Type u_2}
[inst_2 : PseudoMetricSpace P] [inst_3 : NormedAddTorsor E P] (c : P) (r : ℝ),
ContinuousOn (↑(OpenPartialHomeomorph.univBall c r).symm) (Metric.ball c r)- Cited by
- 0 results in Mathlib
- Foundations
- Depth 167 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites13
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
- NormedSpacestatement and proof · cited by 12,499
- SeminormedAddCommGroupstatement and proof · cited by 2,671
- PseudoMetricSpacestatement and proof · cited by 1,550
- ContinuousOnstatement · cited by 1,411
- NormedAddTorsorstatement and proof · cited by 1,325
- OpenPartialHomeomorph.toFun'statement · cited by 745
- Metric.ballstatement · cited by 735
- OpenPartialHomeomorph.symmstatement and proof · cited by 460
- ContinuousOn.monoproof · cited by 156
- OpenPartialHomeomorph.continuousOnproof · cited by 10
- OpenPartialHomeomorph.univBallstatement and proof · cited by 9
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