Theorems · Theorem · real analysis
Real.log_intCast_nonneg
∀ (n : ℤ), 0 ≤ Real.log ↑n
- Cited by
- 4 results in Mathlib
- Foundations
- Depth 176 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 and proof · cited by 25,697
- Nat.cast_oneproof · cited by 2,501
- Nat.cast_zeroproof · cited by 1,870
- Real.logstatement and proof · cited by 939
- neg_zeroproof · cited by 542
- Int.cast_oneproof · cited by 371
- Int.cast_zeroproof · cited by 188
- lt_trichotomyproof · cited by 178
- Real.log_zeroproof · cited by 84
- Real.log_nonnegproof · cited by 28
- Real.log_neg_eq_logproof · cited by 27
- lt_negproof · cited by 12
Cited by4
Results whose statement or proof uses this declaration.
- Real.qaryEntropy_posproof · cited by 1
- Real.qaryEntropy_neg_of_negproof · cited by 0
- Real.qaryEntropy_nonnegproof · cited by 0
- Real.qaryEntropy_nonpos_of_nonposproof · cited by 0