Theorems · Theorem · real analysis
Real.artanh_eq_half_log
∀ {x : ℝ}, x ∈ Set.Icc (-1) 1 → Real.artanh x = 1 / 2 * Real.log ((1 + x) / (1 - x))- Defined in
- Mathlib.Analysis.SpecialFunctions.Artanh
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 175 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites8
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.Iccstatement and proof · cited by 1,702
- Real.logstatement and proof · cited by 939
- div_nonnegproof · cited by 103
- Real.artanhstatement · cited by 20
- Real.log_sqrtproof · cited by 5
- one_div_mul_eq_divproof · cited by 4
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