Theorems · Theorem · field theory
unitSphereToUnits_injective
∀ {𝕜 : Type u_1} [inst : NormedDivisionRing 𝕜], Function.Injective ⇑(unitSphereToUnits 𝕜)- Defined in
- Mathlib.Analysis.Normed.Field.UnitBall
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 118 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- NormedDivisionRing
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Cites9
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement and proof · cited by 62,936
- Realstatement · cited by 25,697
- Set.Elemstatement and proof · cited by 7,166
- MonoidHomstatement · cited by 3,629
- Unitsstatement · cited by 2,804
- Units.valproof · cited by 1,966
- Metric.spherestatement and proof · cited by 371
- NormedDivisionRingstatement and proof · cited by 360
- unitSphereToUnitsstatement and proof · cited by 2
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