Theorems · Theorem · real analysis
Real.sinh_surjective
Function.Surjective Real.sinh
sinh is surjective, ∀ b, ∃ a, sinh a = b. In this case, we use a = arsinh b.
- Defined in
- Mathlib.Analysis.SpecialFunctions.Arsinh
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 175 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites4
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Realstatement · cited by 25,697
- Real.sinhstatement · cited by 142
- Function.LeftInverse.surjectiveproof · cited by 22
- Real.sinh_arsinhproof · cited by 8
Cited by1
Results whose statement or proof uses this declaration.
- Real.sinh_bijectiveproof · cited by 0