Theorems · Theorem · sequences and series
Units.val_oneSub
∀ {R : Type u_4} [inst : NormedRing R] [inst_1 : HasSummableGeomSeries R] (t : R) (h : ‖t‖ < 1),
↑(Units.oneSub t h) = 1 - t- Defined in
- Mathlib.Analysis.SpecificLimits.Normed
- Cited by
- 4 results in Mathlib
- Foundations
- Depth 167 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites6
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
- Units.valstatement and proof · cited by 1,966
- NormedRingstatement and proof · cited by 924
- HasSummableGeomSeriesstatement and proof · cited by 60
- Units.oneSubstatement and proof · cited by 9
Cited by4
Results whose statement or proof uses this declaration.
- NormedRing.inverse_one_subproof · cited by 4
- analyticAt_inverseproof · cited by 3
- NormedRing.inverse_addproof · cited by 2
- Ideal.eq_top_of_norm_lt_oneproof · cited by 0