Theorems · Theorem · general topology
OpenPartialHomeomorph.unitBallBall_apply
∀ {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) (hr : 0 < r) (a : E),
↑(OpenPartialHomeomorph.unitBallBall c r hr) a = r • a +ᵥ c- Cited by
- 1 results in Mathlib
- Foundations
- Depth 163 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
- SeminormedAddCommGroupstatement and proof · cited by 2,671
- HVAdd.hVAddstatement · cited by 1,820
- PseudoMetricSpacestatement and proof · cited by 1,550
- NormedAddTorsorstatement and proof · cited by 1,325
- OpenPartialHomeomorph.toFun'statement and proof · cited by 745
- OpenPartialHomeomorph.unitBallBallstatement and proof · cited by 11
Cited by1
Results whose statement or proof uses this declaration.
- OpenPartialHomeomorph.univBall_apply_zeroproof · cited by 1