Theorems · Definition · real analysis
Real.coshPartialEquiv
PartialEquiv ℝ ℝ
Real.cosh as a PartialEquiv from $[0, ∞)$ to $[1, ∞)$.
- Defined in
- Mathlib.Analysis.SpecialFunctions.Arcosh
- Cited by
- 6 results in Mathlib
- Foundations
- Depth 211 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites9
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.Iciproof · cited by 1,070
- PartialEquivstatement · cited by 335
- Real.coshproof · cited by 119
- Real.arcoshproof · cited by 27
- Real.cosh_arcoshproof · cited by 3
- Real.one_le_coshproof · cited by 1
- Real.arcosh_coshproof · cited by 0
- Real.arcosh_nonnegproof · cited by 0
Cited by6
Results whose statement or proof uses this declaration.
- Real.arcosh_surjOnproof · cited by 0
- Real.cosh_bijOnproof · cited by 0
- Real.cosh_surjOnproof · cited by 0
- Real.cosh_injOnproof · cited by 0
- Real.arcosh_bijOnproof · cited by 0
- Real.arcosh_injOnproof · cited by 0