Theorems · Theorem · real analysis
Real.image_log_uIcc
∀ {a b : ℝ}, 0 < a → 0 < b → Real.log '' Set.uIcc a b = Set.uIcc (Real.log a) (Real.log b)- Cited by
- 0 results in Mathlib
- Foundations
- Depth 174 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites14
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Setstatement · cited by 53,352
- Realstatement and proof · cited by 25,697
- Set.imagestatement · cited by 5,609
- LT.lt.ne'proof · cited by 1,417
- Real.logstatement · cited by 939
- LT.lt.trans_leproof · cited by 678
- Set.uIccstatement and proof · cited by 393
- ContinuousOn.monoproof · cited by 156
- lt_minproof · cited by 69
- Real.continuousOn_logproof · cited by 17
- MonotoneOn.monoproof · cited by 16
- Real.strictMonoOn_logproof · cited by 13
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