Theorems · Theorem · real analysis
Real.arsinh_sinh
∀ (x : ℝ), Real.arsinh (Real.sinh x) = x
arsinh is the left inverse of sinh.
- Defined in
- Mathlib.Analysis.SpecialFunctions.Arsinh
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 207 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites5
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.sinhstatement · cited by 142
- Real.arsinhstatement · cited by 55
- Real.sinh_arsinhproof · cited by 8
- Real.sinh_injectiveproof · cited by 3
Cited by1
Results whose statement or proof uses this declaration.
- Real.sinhEquivproof · cited by 5