Theorems · Theorem · real analysis
Real.tanh_arsinh
∀ (x : ℝ), Real.tanh (Real.arsinh x) = x / √(1 + x ^ 2)
- Defined in
- Mathlib.Analysis.SpecialFunctions.Arsinh
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 176 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.arsinhstatement and proof · cited by 55
- Real.tanhstatement · cited by 19
- Real.sinh_arsinhproof · cited by 8
- Real.tanh_eq_sinh_div_coshproof · cited by 5
- Real.cosh_arsinhproof · cited by 2
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