Theorems · Theorem · general topology
OpenPartialHomeomorph.ball_subset_univBall_target
∀ {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),
Metric.ball c r ⊆ (OpenPartialHomeomorph.univBall c r).target- Cited by
- 1 results in Mathlib
- Foundations
- Depth 166 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites15
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
- Realstatement and proof · cited by 25,697
- NormedSpacestatement and proof · cited by 12,499
- SeminormedAddCommGroupstatement and proof · cited by 2,671
- le_reflproof · cited by 2,061
- PseudoMetricSpacestatement and proof · cited by 1,550
- NormedAddTorsorstatement and proof · cited by 1,325
- PartialHomeomorph.toPartialEquivstatement and proof · cited by 917
- OpenPartialHomeomorph.toPartialHomeomorphstatement and proof · cited by 851
- Metric.ballstatement and proof · cited by 735
- OpenPartialHomeomorphproof · cited by 664
- PartialEquiv.targetstatement and proof · cited by 650
Cited by1
Results whose statement or proof uses this declaration.
- OpenPartialHomeomorph.continuousOn_univBall_symmproof · cited by 0