Theorems · Theorem · real analysis
Real.strictMonoOn_one_add_div_one_sub
StrictMonoOn (fun x => (1 + x) / (1 - x)) (Set.Ioo (-1) 1)
- Defined in
- Mathlib.Analysis.SpecialFunctions.Artanh
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 107 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites7
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
- one_mulproof · cited by 2,841
- LT.lt.ne'proof · cited by 1,417
- Set.Ioostatement and proof · cited by 1,214
- div_oneproof · cited by 629
- zero_lt_oneproof · cited by 598
- StrictMonoOnstatement · cited by 194
Cited by1
Results whose statement or proof uses this declaration.
- Real.strictMonoOn_artanhproof · cited by 2