Theorems · Definition · general topology
OpenPartialHomeomorph.univUnitBall
{E : Type u_1} → [inst : SeminormedAddCommGroup E] → [NormedSpace ℝ E] → OpenPartialHomeomorph E ELocal homeomorphism between a real (semi)normed space and the unit ball.
See also Homeomorph.unitBall.
- Cited by
- 13 results in Mathlib
- Foundations
- Depth 158 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
- NormedSpacestatement and proof · cited by 12,499
- Norm.normproof · cited by 5,413
- Set.univproof · cited by 3,945
- SeminormedAddCommGroupstatement and proof · cited by 2,671
- Metric.ballproof · cited by 735
- OpenPartialHomeomorphstatement · cited by 664
- Real.sqrtproof · cited by 545
Cited by15
Results whose statement or proof uses this declaration.
- OpenPartialHomeomorph.univBallproof · cited by 9
- Homeomorph.unitBallproof · cited by 4
- OpenPartialHomeomorph.contDiff_univUnitBallstatement · cited by 2
- OpenPartialHomeomorph.univBall_sourceproof · cited by 2
- OpenPartialHomeomorph.univUnitBall_apply_zerostatement · cited by 2
- OpenPartialHomeomorph.contDiffOn_univUnitBall_symmstatement · cited by 1
- OpenPartialHomeomorph.univBall_apply_zeroproof · cited by 1
- OpenPartialHomeomorph.univBall_targetproof · cited by 1
- OpenPartialHomeomorph.univUnitBall_applystatement and proof · cited by 1
- OpenPartialHomeomorph.univUnitBall_symm_applystatement and proof · cited by 1
- Homeomorph.unitBall_apply_coestatement · cited by 0
- Homeomorph.unitBall_symm_applystatement · cited by 0