Theorems · Theorem · general topology
OpenPartialHomeomorph.univBall_source
∀ {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),
(OpenPartialHomeomorph.univBall c r).source = Set.univ- Cited by
- 2 results in Mathlib
- Foundations
- Depth 164 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites17
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Setstatement · cited by 53,352
- Realstatement and proof · cited by 25,697
- NormedSpacestatement and proof · cited by 12,499
- Set.univstatement and proof · cited by 3,945
- SeminormedAddCommGroupstatement and proof · cited by 2,671
- PseudoMetricSpacestatement and proof · cited by 1,550
- NormedAddTorsorstatement and proof · cited by 1,325
- PartialEquiv.sourcestatement and proof · cited by 964
- PartialHomeomorph.toPartialEquivstatement and proof · cited by 917
- OpenPartialHomeomorph.toPartialHomeomorphstatement and proof · cited by 851
- Homeomorph.toOpenPartialHomeomorphproof · cited by 28
- IsometryEquiv.toHomeomorphproof · cited by 16
Cited by2
Results whose statement or proof uses this declaration.
- OpenPartialHomeomorph.continuous_univBallproof · cited by 0
- OpenPartialHomeomorph.univBall_symm_apply_centerproof · cited by 0