Theorems · Theorem · functional analysis
Units.oneSub.congr_simp
∀ {R : Type u_4} [inst : NormedRing R] [inst_1 : HasSummableGeomSeries R] (t t_1 : R) (e_t : t = t_1) (h : ‖t‖ < 1),
Units.oneSub t h = Units.oneSub t_1 ⋯- Defined in
- Mathlib.Analysis.Normed.Ring.Units
- Cited by
- 1 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
- Unitsstatement · cited by 2,804
- NormedRingstatement and proof · cited by 924
- HasSummableGeomSeriesstatement and proof · cited by 60
- Units.oneSubstatement and proof · cited by 9
Cited by1
Results whose statement or proof uses this declaration.
- analyticAt_inverseproof · cited by 3