Theorems · Theorem · real analysis
HasCompactSupport.fderiv
∀ (𝕜 : Type u_1) [inst : NontriviallyNormedField 𝕜] {E : Type u_2} [inst_1 : AddCommGroup E] [inst_2 : Module 𝕜 E]
[inst_3 : TopologicalSpace E] {F : Type u_3} [inst_4 : AddCommGroup F] [inst_5 : Module 𝕜 F]
[inst_6 : TopologicalSpace F] {f : E → F}, HasCompactSupport f → HasCompactSupport (fderiv 𝕜 f)- Defined in
- Mathlib.Analysis.Calculus.FDeriv.Const
- Cited by
- 4 results in Mathlib
- Foundations
- Depth 174 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites10
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- TopologicalSpacestatement and proof · cited by 24,529
- Modulestatement and proof · cited by 20,661
- RingHom.idstatement · cited by 18,349
- AddCommGroupstatement and proof · cited by 12,871
- NontriviallyNormedFieldstatement and proof · cited by 8,742
- ContinuousLinearMapstatement · cited by 5,352
- fderivstatement · cited by 398
- HasCompactSupportstatement and proof · cited by 196
- support_fderiv_subsetproof · cited by 3
- HasCompactSupport.mono'proof · cited by 3
Cited by4
Results whose statement or proof uses this declaration.
- HasCompactSupport.hasFDerivAt_convolution_rightproof · cited by 2
- LipschitzWith.ae_lineDeriv_sum_eqproof · cited by 1
- HasCompactSupport.hasDerivAt_convolution_rightproof · cited by 1
- ContDiff.lipschitzWith_of_hasCompactSupportproof · cited by 1