Theorems · Theorem · potential theory
InnerProductSpace.HarmonicContOnCl.differentiableAt
∀ {E : Type u_1} [inst : NormedAddCommGroup E] [inst_1 : InnerProductSpace ℝ E] [inst_2 : FiniteDimensional ℝ E]
{F : Type u_2} [inst_3 : NormedAddCommGroup F] [inst_4 : NormedSpace ℝ F] {f : E → F} {x : E} {s : Set E},
InnerProductSpace.HarmonicContOnCl f s → x ∈ s → DifferentiableAt ℝ f x- Cited by
- 0 results in Mathlib
- Foundations
- Depth 247 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites11
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Setstatement and proof · 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
- InnerProductSpacestatement and proof · cited by 3,523
- FiniteDimensionalstatement and proof · cited by 1,854
- DifferentiableAtstatement · cited by 617
- two_ne_zeroproof · cited by 251
- InnerProductSpace.HarmonicContOnClstatement and proof · cited by 32
- ContDiffAt.differentiableAtproof · cited by 14
- InnerProductSpace.HarmonicContOnCl.contDiffAtproof · cited by 1
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