Theorems · Theorem · real analysis
Real.hasDerivAt_arctan
∀ (x : ℝ), HasDerivAt Real.arctan (1 / (1 + x ^ 2)) x
- Cited by
- 7 results in Mathlib
- Foundations
- Depth 207 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites5
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
- HasDerivAtstatement · cited by 493
- Real.arctanstatement · cited by 111
- HasStrictDerivAt.hasDerivAtproof · cited by 52
- Real.hasStrictDerivAt_arctanproof · cited by 3
Cited by7
Results whose statement or proof uses this declaration.
- Real.hasDerivAt_arctan'proof · cited by 3
- HasFDerivAt.arctanproof · cited by 2
- HasFDerivWithinAt.arctanproof · cited by 2
- Real.differentiableAt_arctanproof · cited by 2
- HasDerivAt.arctanproof · cited by 1
- HasDerivWithinAt.arctanproof · cited by 1
- Real.deriv_arctanproof · cited by 1