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Theorems · Theorem · functional analysis

Units.isOpen

∀ {R : Type u_1} [inst : NormedRing R] [HasSummableGeomSeries R], IsOpen {x | IsUnit x}

The group of units of a normed ring with summable geometric series is an open subset of the ring.

Defined in
Mathlib.Analysis.Normed.Ring.Units
Cited by
6 results in Mathlib
Foundations
Depth 173 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
NormedRingHasSummableGeomSeries

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Cites17

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Cited by6

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