Theorems · Theorem · functional analysis
ContDiffMapSupportedIn.zero_on_compl
∀ {E : Type u_2} {F : Type u_3} [inst : NormedAddCommGroup E] [inst_1 : NormedSpace ℝ E] [inst_2 : NormedAddCommGroup F]
[inst_3 : NormedSpace ℝ F] {n : ℕ∞} {K : TopologicalSpace.Compacts E} (f : ContDiffMapSupportedIn E F n K),
Set.EqOn (⇑f) 0 (↑K)ᶜ- Cited by
- 3 results in Mathlib
- Foundations
- Depth 177 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.
- DFunLike.coestatement · cited by 62,936
- Setstatement · cited by 53,352
- Realstatement and proof · cited by 25,697
- NormedAddCommGroupstatement and proof · cited by 15,752
- NormedSpacestatement and proof · cited by 12,499
- SetLike.coestatement · cited by 8,199
- ENatstatement and proof · cited by 4,985
- Compl.complstatement · cited by 2,925
- Set.EqOnstatement · cited by 603
- TopologicalSpace.Compactsstatement and proof · cited by 386
- ContDiffMapSupportedInstatement and proof · cited by 107
- ContDiffMapSupportedInClass.map_zero_on_complproof · cited by 2
Cited by3
Results whose statement or proof uses this declaration.
- ContDiffMapSupportedIn.hasCompactSupportproof · cited by 4
- ContDiffMapSupportedIn.support_subsetproof · cited by 3
- ContDiffMapSupportedIn.integralAgainstBilinLM_eq_setIntegralproof · cited by 2