Theorems · Theorem · general topology
OpenPartialHomeomorph.univUnitBall_symm_apply
∀ {E : Type u_1} [inst : SeminormedAddCommGroup E] [inst_1 : NormedSpace ℝ E] (y : E),
↑OpenPartialHomeomorph.univUnitBall.symm y = (√(1 - ‖y‖ ^ 2))⁻¹ • y- Cited by
- 1 results in Mathlib
- Foundations
- Depth 159 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.normstatement · cited by 5,413
- SeminormedAddCommGroupstatement and proof · cited by 2,671
- OpenPartialHomeomorph.toFun'statement and proof · cited by 745
- Real.sqrtstatement · cited by 545
- OpenPartialHomeomorph.symmstatement and proof · cited by 460
- OpenPartialHomeomorph.univUnitBallstatement and proof · cited by 13
Cited by1
Results whose statement or proof uses this declaration.
- OpenPartialHomeomorph.univUnitBall_symm_apply_zeroproof · cited by 0