Theorems · Theorem · real analysis
tsupport_fderiv_apply_subset
∀ (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} (v : E), (tsupport fun x => (fderiv 𝕜 f x) v) ⊆ tsupport f- Defined in
- Mathlib.Analysis.Calculus.FDeriv.Const
- Cited by
- 5 results in Mathlib
- Foundations
- Depth 175 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites13
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement · cited by 62,936
- Setstatement · cited by 53,352
- 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
- LE.le.transproof · cited by 3,151
- fderivstatement and proof · cited by 398
- tsupportstatement · cited by 178
- tsupport_fderiv_subsetproof · cited by 3
Cited by5
Results whose statement or proof uses this declaration.
- Distribution.TemperedDistribution.IsVanishingOn.lineDerivOpproof · cited by 2
- Distribution.IsVanishingOn.lineDerivOpproof · cited by 2
- SchwartzMap.tsupport_lineDerivOp_subsetproof · cited by 1
- SchwartzMap.tsupport_derivCLM_subsetproof · cited by 0
- HasCompactSupport.fderiv_applyproof · cited by 0