Theorems · Theorem · functional analysis

TemperedDistribution.besselPotential.congr_simp

∀ (E : Type u_1) (F : Type u_2) [inst : NormedAddCommGroup E] [inst_1 : NormedAddCommGroup F]
  [inst_2 : InnerProductSpace ℝ E] [inst_3 : FiniteDimensional ℝ E] [inst_4 : MeasurableSpace E] [inst_5 : BorelSpace E]
  [inst_6 : NormedSpace ℂ F] (s s_1 : ℝ),
  s = s_1 → TemperedDistribution.besselPotential E F s = TemperedDistribution.besselPotential E F s_1

Defined in: Mathlib.Analysis.Distribution.Sobolev
Cited by: 1 results in Mathlib
Foundations: Depth 305 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes: NormedAddCommGroup NormedAddCommGroup InnerProductSpace FiniteDimensional MeasurableSpace BorelSpace NormedSpace

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Setstatement · cited by 53,352
Realstatement and proof · cited by 25,697
RingHom.idstatement · cited by 18,349
NormedAddCommGroupstatement and proof · cited by 15,752
MeasurableSpacestatement and proof · cited by 13,106
NormedSpacestatement and proof · cited by 12,499
Set.Elemstatement · cited by 7,166
Set.ofPredstatement · cited by 6,101
Complexstatement and proof · cited by 5,565
ContinuousLinearMapstatement · cited by 5,352
InnerProductSpacestatement and proof · cited by 3,523
Finitestatement · cited by 3,029

Cited by1

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TemperedDistribution.besselPotential_neg_apply_eq_iffproof · cited by 0