Theorems · Theorem · global analysis

smoothLeftMul_one

∀ {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 : Monoid G'] [inst_5 : TopologicalSpace G'] [inst_6 : ChartedSpace H G'] [inst_7 : ContMDiffMul I (↑⊤) G']
  (g' : G'), (smoothLeftMul I g') 1 = g'

Defined in

Mathlib.Geometry.Manifold.Algebra.Monoid

Cited by

8 results in Mathlib

Foundations

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

Assumes

NontriviallyNormedFieldTopologicalSpaceNormedAddCommGroupNormedSpaceMonoidTopologicalSpaceChartedSpaceContMDiffMul