Theorems · Theorem · potential theory
InnerProductSpace.HarmonicContOnCl.continuousOn
∀ {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} {s : Set E},
InnerProductSpace.HarmonicContOnCl f s → ContinuousOn f (closure s)- Cited by
- 9 results in Mathlib
- Foundations
- Depth 163 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites9
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
- ContinuousOnstatement · cited by 1,411
- closurestatement · cited by 1,254
- InnerProductSpace.HarmonicContOnClstatement and proof · cited by 32
Cited by9
Results whose statement or proof uses this declaration.
- InnerProductSpace.HarmonicContOnCl.subproof · cited by 3
- InnerProductSpace.HarmonicContOnCl.addproof · cited by 3
- InnerProductSpace.HarmonicContOnCl.negproof · cited by 1
- InnerProductSpace.HarmonicContOnCl.circleAverage_eqproof · cited by 1
- InnerProductSpace.HarmonicContOnCl.comp_CLMproof · cited by 1
- InnerProductSpace.HarmonicContOnCl.const_smulproof · cited by 1
- InnerProductSpace.HarmonicContOnCl.continuousOn_ballproof · cited by 1
- InnerProductSpace.HarmonicContOnCl.monoproof · cited by 0