Theorems · Theorem · real analysis
Real.tanh_arcosh
∀ {x : ℝ}, 1 ≤ x → Real.tanh (Real.arcosh x) = √(x ^ 2 - 1) / x- Defined in
- Mathlib.Analysis.SpecialFunctions.Arcosh
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 173 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.
- Realstatement and proof · cited by 25,697
- Real.sqrtstatement and proof · cited by 545
- Real.coshproof · cited by 119
- Real.arcoshstatement and proof · cited by 27
- Real.tanhstatement · cited by 19
- Real.tanh_eq_sinh_div_coshproof · cited by 5
- Real.cosh_arcoshproof · cited by 3
- Real.sinh_arcoshproof · cited by 2
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