Theorems · Theorem · real analysis
Real.ofDigitsTerm_le
∀ {b : ℕ} {digits : ℕ → Fin b} {n : ℕ}, Real.ofDigitsTerm digits n ≤ (↑b - 1) * (↑b ^ (n + 1))⁻¹- Defined in
- Mathlib.Analysis.Real.OfDigits
- Cited by
- 3 results in Mathlib
- Foundations
- Depth 110 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites12
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Realstatement · cited by 25,697
- Nat.cast_oneproof · cited by 2,501
- le_of_ltproof · cited by 1,175
- Nat.cast_addproof · cited by 586
- zero_leproof · cited by 382
- mul_le_mul_of_nonneg_rightproof · cited by 301
- pow_posproof · cited by 292
- Nat.cast_pos'proof · cited by 219
- add_sub_cancel_rightproof · cited by 187
- Right.add_pos_of_nonneg_of_posproof · cited by 137
- inv_pos_of_posproof · cited by 123
- Real.ofDigitsTermstatement · cited by 15
Cited by3
Results whose statement or proof uses this declaration.
- Real.summable_ofDigitsTermproof · cited by 5
- Real.ofDigits_le_oneproof · cited by 3
- Real.continuous_ofDigitsproof · cited by 1