Theorems · Theorem · real analysis
Real.continuous_ofDigits
∀ {b : ℕ}, Continuous Real.ofDigits- Defined in
- Mathlib.Analysis.Real.OfDigits
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 171 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites28
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
- LE.le.transproof · cited by 3,151
- Continuousstatement and proof · cited by 2,592
- Nat.cast_oneproof · cited by 2,501
- Nat.cast_zeroproof · cited by 1,870
- le_of_ltproof · cited by 1,175
- le_of_not_gtproof · cited by 430
- Int.cast_natCastproof · cited by 393
- Int.cast_oneproof · cited by 371
- mul_le_mul_of_nonneg_rightproof · cited by 301
- pow_posproof · cited by 292
- abs_of_nonnegproof · cited by 279
Cited by1
Results whose statement or proof uses this declaration.
- Real.fromBinary_continuousproof · cited by 1