Theorems · Theorem · real analysis
Real.le_log_one_add_of_nonneg
∀ {x : ℝ}, 0 ≤ x → 2 * x / (x + 2) ≤ Real.log (1 + x)- Cited by
- 0 results in Mathlib
- Foundations
- Depth 173 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites18
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
- mul_oneproof · cited by 3,885
- one_mulproof · cited by 2,841
- Nat.cast_zeroproof · cited by 1,870
- LT.lt.ne'proof · cited by 1,417
- le_of_ltproof · cited by 1,175
- Real.logstatement · cited by 939
- one_ne_zeroproof · cited by 885
- Real.expproof · cited by 871
- ne_of_gtproof · cited by 637
- div_oneproof · cited by 629
- zero_lt_oneproof · cited by 598
Cited by0
Results whose statement or proof uses this declaration.
Nothing cites this yet.