Theorems · Theorem · measure theory

FDerivMeasurableAux.isOpen_A_with_param

∀ {𝕜 : Type u_1} [inst : NontriviallyNormedField 𝕜] {E : Type u_2} [inst_1 : NormedAddCommGroup E]
  [inst_2 : NormedSpace 𝕜 E] [LocallyCompactSpace E] {F : Type u_3} [inst_4 : NormedAddCommGroup F]
  [inst_5 : NormedSpace 𝕜 F] {α : Type u_4} [inst_6 : TopologicalSpace α] {f : α → E → F} {r s : ℝ},
  Continuous (Function.uncurry f) → ∀ (L : E →L[𝕜] F), IsOpen {p | p.2 ∈ FDerivMeasurableAux.A (f p.1) L r s}

Defined in

Mathlib.Analysis.Calculus.FDeriv.Measurable

Cited by

1 results in Mathlib

Foundations

Depth 180 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

NontriviallyNormedFieldNormedAddCommGroupNormedSpaceLocallyCompactSpaceNormedAddCommGroupNormedSpaceTopologicalSpace