Theorems · Theorem · real analysis
Real.hasStrictDerivAt_arctan
∀ (x : ℝ), HasStrictDerivAt Real.arctan (1 / (1 + x ^ 2)) x
- Cited by
- 3 results in Mathlib
- Foundations
- Depth 206 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites16
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
- OpenPartialHomeomorph.toFun'proof · cited by 745
- one_divproof · cited by 624
- OpenPartialHomeomorph.symmproof · cited by 460
- Real.cosproof · cited by 424
- HasStrictDerivAtstatement · cited by 163
- Real.arctanstatement and proof · cited by 111
- div_inv_eq_mulproof · cited by 53
- HasStrictDerivAt.congr_simpproof · cited by 41
- OpenPartialHomeomorph.hasStrictDerivAt_symmproof · cited by 6
Cited by3
Results whose statement or proof uses this declaration.
- Real.hasDerivAt_arctanproof · cited by 7
- HasStrictDerivAt.arctanproof · cited by 0
- HasStrictFDerivAt.arctanproof · cited by 0