Theorems · Theorem · real analysis
Real.ofDigitsTerm_nonneg
∀ {b : ℕ} {digits : ℕ → Fin b} {n : ℕ}, 0 ≤ Real.ofDigitsTerm digits n- Defined in
- Mathlib.Analysis.Real.OfDigits
- Cited by
- 4 results in Mathlib
- Foundations
- Depth 106 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
- mul_nonnegproof · cited by 397
- Nat.cast_nonneg'proof · cited by 245
- pow_nonnegproof · cited by 141
- inv_nonneg_of_nonnegproof · cited by 24
- Real.ofDigitsTermstatement · cited by 15
Cited by4
Results whose statement or proof uses this declaration.
- Real.summable_ofDigitsTermproof · cited by 5
- Real.ofDigits_nonnegproof · cited by 3
- ofDigits_cantorToTernaryproof · cited by 1
- Real.continuous_ofDigitsproof · cited by 1