Theorems · Theorem · real analysis
Real.artanh_lt_artanh_iff
∀ {x y : ℝ}, x ∈ Set.Ioo (-1) 1 → y ∈ Set.Ioo (-1) 1 → (Real.artanh x < Real.artanh y ↔ x < y)- Defined in
- Mathlib.Analysis.SpecialFunctions.Artanh
- Cited by
- 3 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.
Cites6
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Setstatement · cited by 53,352
- Realstatement and proof · cited by 25,697
- Set.Ioostatement and proof · cited by 1,214
- Real.artanhstatement · cited by 20
- StrictMonoOn.lt_iff_ltproof · cited by 14
- Real.strictMonoOn_artanhproof · cited by 2
Cited by3
Results whose statement or proof uses this declaration.
- Real.artanh_lt_artanhproof · cited by 0
- Real.artanh_negproof · cited by 0
- Real.artanh_posproof · cited by 0