Theorems · Theorem · functional analysis

Distribution.lineDerivOpCLM_eq_lineDerivCLM

∀ {E : Type u_1} [inst : NormedAddCommGroup E] [inst_1 : NormedSpace ℝ E] {Ω : TopologicalSpace.Opens E} {F : Type u_2}
  [inst_2 : AddCommGroup F] [inst_3 : Module ℝ F] [inst_4 : TopologicalSpace F] [inst_5 : IsTopologicalAddGroup F]
  [inst_6 : ContinuousSMul ℝ F] {v : E}, LineDeriv.lineDerivOpCLM ℝ (Distribution Ω F ⊤) v = Distribution.lineDerivCLM v

Defined in: Mathlib.Analysis.Distribution.Distribution
Cited by: 0 results in Mathlib
Foundations: Depth 236 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes: NormedAddCommGroup NormedSpace AddCommGroup Module TopologicalSpace IsTopologicalAddGroup ContinuousSMul

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Setstatement · cited by 53,352
Realstatement and proof · cited by 25,697
TopologicalSpacestatement and proof · cited by 24,529
Modulestatement and proof · cited by 20,661
RingHom.idstatement · cited by 18,349
NormedAddCommGroupstatement and proof · cited by 15,752
AddCommGroupstatement and proof · cited by 12,871
NormedSpacestatement and proof · cited by 12,499
Top.topstatement · cited by 9,680
Set.ofPredstatement · cited by 6,101
ContinuousLinearMapstatement · cited by 5,352
ENatstatement · cited by 4,985

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