Theorems · Theorem · global analysis

ContMDiffMap.coeFnMonoidHom_apply

∀ {𝕜 : Type u_1} [inst : NontriviallyNormedField 𝕜] {E : Type u_2} [inst_1 : NormedAddCommGroup E]
  [inst_2 : NormedSpace 𝕜 E] {E' : Type u_3} [inst_3 : NormedAddCommGroup E'] [inst_4 : NormedSpace 𝕜 E'] {H : Type u_4}
  [inst_5 : TopologicalSpace H] {I : ModelWithCorners 𝕜 E H} {H' : Type u_5} [inst_6 : TopologicalSpace H']
  {I' : ModelWithCorners 𝕜 E' H'} {N : Type u_6} [inst_7 : TopologicalSpace N] [inst_8 : ChartedSpace H N]
  {n : WithTop ℕ∞} {G : Type u_10} [inst_9 : Monoid G] [inst_10 : TopologicalSpace G] [inst_11 : ChartedSpace H' G]
  [inst_12 : ContMDiffMul I' n G] (a : ContMDiffMap I I' N G n) (a_1 : N), ContMDiffMap.coeFnMonoidHom a a_1 = a a_1

Defined in

Mathlib.Geometry.Manifold.Algebra.SmoothFunctions

Cited by

0 results in Mathlib

Foundations

Depth 213 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

NontriviallyNormedFieldNormedAddCommGroupNormedSpaceNormedAddCommGroupNormedSpaceTopologicalSpaceTopologicalSpaceTopologicalSpaceChartedSpaceMonoidTopologicalSpaceChartedSpaceContMDiffMul