Theorems · Theorem · global analysis

Diffeomorph.vadd_symm

∀ {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} {H' : Type u_4}
  [inst_4 : TopologicalSpace H'] {E' : Type u_5} [inst_5 : NormedAddCommGroup E'] [inst_6 : NormedSpace 𝕜 E']
  {I' : ModelWithCorners 𝕜 E' H'} {G : Type u_8} [inst_7 : TopologicalSpace G] [inst_8 : ChartedSpace H G]
  {M : Type u_9} [inst_9 : TopologicalSpace M] [inst_10 : ChartedSpace H' M] [inst_11 : AddGroup G]
  [inst_12 : AddAction G M] {n : WithTop ℕ∞} [inst_13 : ContMDiffVAdd I I' n G M] (g : G),
  (Diffeomorph.vadd I I' n g).symm = Diffeomorph.vadd I I' n (-g)

Defined in

Mathlib.Geometry.Manifold.Algebra.SMul

Cited by

0 results in Mathlib

Foundations

Depth 209 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

NontriviallyNormedFieldTopologicalSpaceNormedAddCommGroupNormedSpaceTopologicalSpaceNormedAddCommGroupNormedSpaceTopologicalSpaceChartedSpaceTopologicalSpaceChartedSpaceAddGroupAddActionContMDiffVAdd