Theorems · Theorem · real analysis
Real.ofDigits_digits
∀ {b : ℕ} [inst : NeZero b] {x : ℝ}, 1 < b → x ∈ Set.Ico 0 1 → Real.ofDigits (x.digits b) = x- Defined in
- Mathlib.Analysis.Real.OfDigits
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 170 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.
Cites8
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
- Set.Icostatement and proof · cited by 799
- Real.ofDigitsstatement · cited by 14
- Summable.hasSum_iffproof · cited by 11
- Real.digitsstatement · cited by 7
- Real.summable_ofDigitsTermproof · cited by 5
- Real.hasSum_ofDigitsTerm_digitsproof · cited by 1
Cited by1
Results whose statement or proof uses this declaration.
- Real.ofDigits_SurjOnproof · cited by 1