Theorems · Definition · real analysis
Real.coshOpenPartialHomeomorph
OpenPartialHomeomorph ℝ ℝ
Real.cosh as an OpenPartialHomeomorph from $(0, ∞)$ to $(1, ∞)$.
- Defined in
- Mathlib.Analysis.SpecialFunctions.Arcosh
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 213 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites6
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
- Set.Ioiproof · cited by 1,463
- OpenPartialHomeomorphstatement · cited by 664
- Real.coshproof · cited by 119
- Real.arcoshproof · cited by 27
- Real.arcosh_posproof · cited by 2
Cited by2
Results whose statement or proof uses this declaration.
- Real.contDiffAt_arcoshproof · cited by 3
- Real.hasStrictDerivAt_arcoshproof · cited by 1