Theorems · Theorem · Lie groups

mdifferentiableAt_addInvariantVectorField

∀ {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 : AddGroup G]
  [inst_7 : LieAddGroup I (minSmoothness 𝕜 3) G] (v : AddGroupLieAlgebra I G) {g : G},
  (MDiffAt fun g => ⟨g, addInvariantVectorField v g⟩) g

Defined in

Mathlib.Geometry.Manifold.GroupLieAlgebra

Cited by

1 results in Mathlib

Foundations

Depth 226 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

NontriviallyNormedFieldTopologicalSpaceNormedAddCommGroupNormedSpaceTopologicalSpaceChartedSpaceAddGroupLieAddGroup