Theorems · Definition · Lie groups

LeftInvariantDerivation.evalAt

{𝕜 : Type u_1} →
  [inst : NontriviallyNormedField 𝕜] →
    {E : Type u_2} →
      [inst_1 : NormedAddCommGroup E] →
        [inst_2 : NormedSpace 𝕜 E] →
          {H : Type u_3} →
            [inst_3 : TopologicalSpace H] →
              {I : ModelWithCorners 𝕜 E H} →
                {G : Type u_4} →
                  [inst_4 : TopologicalSpace G] →
                    [inst_5 : ChartedSpace H G] →
                      [inst_6 : Monoid G] →
                        [inst_7 : ContMDiffMul I (↑⊤) G] →
                          (g : G) → LeftInvariantDerivation I G →ₗ[𝕜] PointDerivation I g

Evaluation at a point for left invariant derivations. Same thing as for generic global derivations (Derivation.evalAt).

Defined in

Mathlib.Geometry.Manifold.Algebra.LeftInvariantDerivation

Cited by

5 results in Mathlib

Foundations

Depth 241 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

NontriviallyNormedFieldNormedAddCommGroupNormedSpaceTopologicalSpaceTopologicalSpaceChartedSpaceMonoidContMDiffMul