Theorems · Theorem · real analysis
Real.hasSum_ofDigitsTerm_digits
∀ (x : ℝ) {b : ℕ} [inst : NeZero b], 1 < b → x ∈ Set.Ico 0 1 → HasSum (Real.ofDigitsTerm (x.digits b)) x- Defined in
- Mathlib.Analysis.Real.OfDigits
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 169 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- NeZero
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.
- Setstatement · cited by 53,352
- Realstatement and proof · cited by 25,697
- TopologicalSpaceproof · cited by 24,529
- Filterproof · cited by 8,121
- nhdsproof · cited by 5,554
- Filter.Tendstoproof · cited by 3,814
- Filter.atTopproof · cited by 2,405
- SummationFilter.unconditionalstatement · cited by 2,068
- sub_zeroproof · cited by 938
- Set.Icostatement and proof · cited by 799
- HasSumstatement · cited by 518
- tendsto_const_nhdsproof · cited by 330
Cited by1
Results whose statement or proof uses this declaration.
- Real.ofDigits_digitsproof · cited by 1