Theorems · Theorem · real analysis
Real.contDiff_arctan
∀ {n : WithTop ℕ∞}, ContDiff ℝ n Real.arctan- Cited by
- 4 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.
Cites14
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
- ENatstatement and proof · cited by 4,985
- WithTopstatement and proof · cited by 3,754
- LT.lt.ne'proof · cited by 1,417
- one_divproof · cited by 624
- Real.cosproof · cited by 424
- ContDiffstatement · cited by 352
- Real.arctanstatement and proof · cited by 111
- contDiff_iff_contDiffAtproof · cited by 28
- OpenPartialHomeomorph.contDiffAt_symm_derivproof · cited by 7
- Real.hasDerivAt_tanproof · cited by 6
- Real.cos_arctan_posproof · cited by 6
Cited by4
Results whose statement or proof uses this declaration.
- ContDiffAt.arctanproof · cited by 0
- ContDiff.arctanproof · cited by 0
- ContDiffOn.arctanproof · cited by 0
- ContDiffWithinAt.arctanproof · cited by 0