Theorems · Theorem · global analysis

Filter.EventuallyEq.mlieBracket_vectorField

∀ {𝕜 : Type u_1} [inst : NontriviallyNormedField 𝕜] {H : Type u_2} [inst_1 : TopologicalSpace H] {E : Type u_3}
  [inst_2 : NormedAddCommGroup E] [inst_3 : NormedSpace 𝕜 E] {I : ModelWithCorners 𝕜 E H} {M : Type u_4}
  [inst_4 : TopologicalSpace M] [inst_5 : ChartedSpace H M] {x : M} {V W V₁ W₁ : (x : M) → TangentSpace I x},
  V₁ =ᶠ[nhds x] V → W₁ =ᶠ[nhds x] W → VectorField.mlieBracket I V₁ W₁ =ᶠ[nhds x] VectorField.mlieBracket I V W

Defined in

Mathlib.Geometry.Manifold.VectorField.LieBracket

Cited by

0 results in Mathlib

Foundations

Depth 171 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

NontriviallyNormedFieldTopologicalSpaceNormedAddCommGroupNormedSpaceTopologicalSpaceChartedSpace