Theorems · Theorem · real analysis
Real.log_nonneg_iff
∀ {x : ℝ}, 0 < x → (0 ≤ Real.log x ↔ 1 ≤ x)- Cited by
- 3 results in Mathlib
- Foundations
- Depth 174 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites4
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
- Real.logstatement · cited by 939
- not_ltproof · cited by 306
- Real.log_neg_iffproof · cited by 7
Cited by3
Results whose statement or proof uses this declaration.
- Real.log_nonnegproof · cited by 28
- Bertrand.real_main_inequalityproof · cited by 1
- Real.rpow_le_one_iff_of_posproof · cited by 0