Theorems · Theorem · functional analysis
Units.nhds
∀ {R : Type u_1} [inst : NormedRing R] [HasSummableGeomSeries R] (x : Rˣ), {x | IsUnit x} ∈ nhds ↑x- Defined in
- Mathlib.Analysis.Normed.Ring.Units
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 174 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites12
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Setstatement · cited by 53,352
- Filterstatement · cited by 8,121
- Set.ofPredstatement · cited by 6,101
- nhdsstatement · cited by 5,554
- Unitsstatement and proof · cited by 2,804
- Units.valstatement · cited by 1,966
- IsUnitstatement · cited by 1,602
- NormedRingstatement and proof · cited by 924
- IsOpen.mem_nhdsproof · cited by 470
- Units.isUnitproof · cited by 116
- HasSummableGeomSeriesstatement and proof · cited by 60
- Units.isOpenproof · cited by 6
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