Theorems · Theorem · real analysis
HasStrictDerivAt.sub
∀ {𝕜 : Type u} [inst : NontriviallyNormedField 𝕜] {F : Type v} [inst_1 : NormedAddCommGroup F]
[inst_2 : NormedSpace 𝕜 F] {f g : 𝕜 → F} {f' g' : F} {x : 𝕜},
HasStrictDerivAt f f' x → HasStrictDerivAt g g' x → HasStrictDerivAt (f - g) (f' - g') x- Defined in
- Mathlib.Analysis.Calculus.Deriv.Add
- Cited by
- 3 results in Mathlib
- Foundations
- Depth 170 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.
- NormedAddCommGroupstatement and proof · cited by 15,752
- NormedSpacestatement and proof · cited by 12,499
- NontriviallyNormedFieldstatement and proof · cited by 8,742
- HasStrictDerivAtstatement and proof · cited by 163
- HasDerivAtFilter.subproof · cited by 4
Cited by3
Results whose statement or proof uses this declaration.
- Complex.hasStrictDerivAt_sinproof · cited by 5
- Complex.hasStrictDerivAt_sinhproof · cited by 4
- HasStrictDerivAt.fun_subproof · cited by 0