Theorems · Theorem · real analysis
Real.tendsto_arctan_atTop
Filter.Tendsto Real.arctan Filter.atTop (nhdsWithin (Real.pi / 2) (Set.Iio (Real.pi / 2)))
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 203 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites11
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Realstatement · cited by 25,697
- Filter.Tendstostatement · cited by 3,814
- Filter.atTopstatement · cited by 2,405
- nhdsWithinstatement · cited by 1,912
- Real.pistatement and proof · cited by 1,774
- Set.Iiostatement · cited by 1,166
- OrderIso.symmproof · cited by 475
- Real.arctanstatement · cited by 111
- Real.tanOrderIsoproof · cited by 10
- OrderIso.tendsto_atTopproof · cited by 3
- tendsto_Ioo_atTopproof · cited by 1
Cited by2
Results whose statement or proof uses this declaration.
- integral_univ_inv_one_add_sqproof · cited by 1
- integral_Ioi_inv_one_add_sqproof · cited by 0