Theorems · Theorem · functional analysis
NormedRing.inverse_one_sub_norm
∀ {R : Type u_1} [inst : NormedRing R] [HasSummableGeomSeries R], (fun t => Ring.inverse (1 - t)) =O[nhds 0] fun _t => 1- Defined in
- Mathlib.Analysis.Normed.Ring.Units
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 169 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites23
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
- nhdsstatement and proof · cited by 5,554
- Norm.normproof · cited by 5,413
- mul_oneproof · cited by 3,885
- Nat.cast_oneproof · cited by 2,501
- SummationFilter.unconditionalproof · cited by 2,068
- Nat.cast_zeroproof · cited by 1,870
- Dist.distproof · cited by 1,539
- tsumproof · cited by 1,148
- NormedRingstatement and proof · cited by 924
- Asymptotics.IsBigOstatement · cited by 506
- le_of_not_gtproof · cited by 430
Cited by2
Results whose statement or proof uses this declaration.
- NormedRing.inverse_add_normproof · cited by 1
- spectrum.resolvent_isBigO_invproof · cited by 1