Theorems · Theorem · real analysis
Real.image_log_Icc
∀ {a b : ℝ}, 0 < a → a ≤ b → Real.log '' Set.Icc a b = Set.Icc (Real.log a) (Real.log b)- Cited by
- 0 results in Mathlib
- Foundations
- Depth 174 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
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Cites13
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
- Set.Iccstatement and proof · cited by 1,702
- LT.lt.ne'proof · cited by 1,417
- Real.logstatement · cited by 939
- LT.lt.trans_leproof · cited by 678
- ContinuousOn.monoproof · cited by 156
- Real.continuousOn_logproof · cited by 17
- MonotoneOn.monoproof · cited by 16
- Real.strictMonoOn_logproof · cited by 13
- StrictMonoOn.monotoneOnproof · cited by 12
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