Theorems · Theorem · real analysis
support_deriv_subset
∀ {𝕜 : Type u} [inst : NontriviallyNormedField 𝕜] {E : Type v} [inst_1 : NormedAddCommGroup E]
[inst_2 : NormedSpace 𝕜 E] {f : 𝕜 → E}, Function.support (deriv f) ⊆ tsupport f- Defined in
- Mathlib.Analysis.Calculus.Deriv.Support
- Cited by
- 2 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.
Cites10
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Setstatement · cited by 53,352
- NormedAddCommGroupstatement and proof · cited by 15,752
- NormedSpacestatement and proof · cited by 12,499
- NontriviallyNormedFieldstatement and proof · cited by 8,742
- derivstatement · cited by 676
- Function.supportstatement · cited by 610
- tsupportstatement and proof · cited by 178
- not_imp_notproof · cited by 63
- Function.notMem_supportproof · cited by 29
- deriv_of_notMem_tsupportproof · cited by 1
Cited by2
Results whose statement or proof uses this declaration.
- HasCompactSupport.derivproof · cited by 2
- tsupport_deriv_subsetproof · cited by 0