Theorems · Theorem · global analysis

contMDiff_pow

∀ {𝕜 : Type u_1} [inst : NontriviallyNormedField 𝕜] {n : WithTop ℕ∞} {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 : Monoid G] [inst_5 : TopologicalSpace G] [inst_6 : ChartedSpace H G] [ContMDiffMul I n G] (i : ℕ),
  ContMDiff I I n fun a => a ^ i

Defined in

Mathlib.Geometry.Manifold.Algebra.Monoid

Cited by

1 results in Mathlib

Foundations

Depth 207 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

NontriviallyNormedFieldTopologicalSpaceNormedAddCommGroupNormedSpaceMonoidTopologicalSpaceChartedSpaceContMDiffMul