Theorems · Theorem · several complex variables
Units.ofNearby.congr_simp
∀ {R : Type u_1} [inst : NormedRing R] [inst_1 : HasSummableGeomSeries R] (x x_1 : Rˣ) (e_x : x = x_1) (y y_1 : R)
(e_y : y = y_1) (h : ‖y - ↑x‖ < ‖↑x⁻¹‖⁻¹), x.ofNearby y h = x_1.ofNearby y_1 ⋯- Defined in
- Mathlib.Analysis.Analytic.Constructions
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 173 from the axioms · uses propext, Classical.choice, Quot.sound
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Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Realstatement · cited by 25,697
- Norm.normstatement and proof · cited by 5,413
- Unitsstatement and proof · cited by 2,804
- Units.valstatement and proof · cited by 1,966
- NormedRingstatement and proof · cited by 924
- HasSummableGeomSeriesstatement and proof · cited by 60
- Units.ofNearbystatement and proof · cited by 4
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