Theorems · Theorem · functional analysis
ContDiffMapSupportedIn.coe_of_support_subset
∀ {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 : E → F} (hf : ContDiff ℝ (↑n) f)
(hsupp : Function.support f ⊆ ↑K) (a : E), (ContDiffMapSupportedIn.of_support_subset hf hsupp) a = f a- Cited by
- 0 results in Mathlib
- Foundations
- Depth 177 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites13
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement and proof · 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 and proof · cited by 8,199
- ENatstatement and proof · cited by 4,985
- WithTop.somestatement and proof · cited by 1,128
- Function.supportstatement and proof · cited by 610
- TopologicalSpace.Compactsstatement and proof · cited by 386
- ContDiffstatement and proof · cited by 352
- ContDiffMapSupportedInstatement · cited by 107
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