Theorems · Theorem · global analysis

L_mul

∀ {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_8}
  [inst_4 : Semigroup G] [inst_5 : TopologicalSpace G] [inst_6 : ChartedSpace H G] [inst_7 : ContMDiffMul I (↑⊤) G]
  (g h : G), smoothLeftMul I (g * h) = (smoothLeftMul I g).comp (smoothLeftMul I h)

Defined in

Mathlib.Geometry.Manifold.Algebra.Monoid

Cited by

1 results in Mathlib

Foundations

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

Assumes

NontriviallyNormedFieldTopologicalSpaceNormedAddCommGroupNormedSpaceSemigroupTopologicalSpaceChartedSpaceContMDiffMul