Theorems · Theorem · real analysis
Real.mul_log_neg
∀ {x : ℝ}, 0 < x → x < 1 → x * Real.log x < 0- Cited by
- 0 results in Mathlib
- Foundations
- Depth 175 from the axioms · uses propext, Classical.choice, Quot.sound
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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
- Real.log_negproof · cited by 15
- mul_neg_of_pos_of_negproof · cited by 13
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