Theorems · Theorem · Lie groups

contMDiff_mulInvariantVectorField

∀ {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} {G : Type u_4}
  [inst_4 : TopologicalSpace G] [inst_5 : ChartedSpace H G] [inst_6 : Group G]
  [inst_7 : LieGroup I (minSmoothness 𝕜 3) G] (v : GroupLieAlgebra I G),
  ContMDiff I I.tangent (minSmoothness 𝕜 2) fun g => ⟨g, mulInvariantVectorField v g⟩

Defined in

Mathlib.Geometry.Manifold.GroupLieAlgebra

Cited by

2 results in Mathlib

Foundations

Depth 224 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

NontriviallyNormedFieldTopologicalSpaceNormedAddCommGroupNormedSpaceTopologicalSpaceChartedSpaceGroupLieGroup