Theorems · Theorem · real analysis
iteratedDerivWithin_neg
∀ {𝕜 : Type u_1} [inst : NontriviallyNormedField 𝕜] {F : Type u_2} [inst_1 : NormedAddCommGroup F]
[inst_2 : NormedSpace 𝕜 F] {n : ℕ} {x : 𝕜} {s : Set 𝕜} (f : 𝕜 → F),
iteratedDerivWithin n (-f) s x = -iteratedDerivWithin n f s x- Cited by
- 3 results in Mathlib
- Foundations
- Depth 179 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites12
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Setstatement and proof · cited by 53,352
- TopologicalSpaceproof · cited by 24,529
- Moduleproof · cited by 20,661
- NormedAddCommGroupstatement and proof · cited by 15,752
- AddCommGroupproof · cited by 12,871
- NormedSpacestatement and proof · cited by 12,499
- NontriviallyNormedFieldstatement and proof · cited by 8,742
- derivWithinproof · cited by 258
- iteratedDerivWithinstatement and proof · cited by 122
- iteratedDerivWithin_zeroproof · cited by 15
- iteratedDerivWithin_succproof · cited by 11
- derivWithin.negproof · cited by 2
Cited by3
Results whose statement or proof uses this declaration.
- iteratedDerivWithin_fun_negproof · cited by 1
- iteratedDeriv_fun_negproof · cited by 0
- iteratedDeriv_negproof · cited by 0