Theorems · Theorem · global analysis

ContMDiffMap.coeFnAlgHom_apply

∀ {𝕜 : Type u_1} [inst : NontriviallyNormedField 𝕜] {E : Type u_2} [inst_1 : NormedAddCommGroup E]
  [inst_2 : NormedSpace 𝕜 E] {H : Type u_4} [inst_3 : TopologicalSpace H] {I : ModelWithCorners 𝕜 E H} {N : Type u_6}
  [inst_4 : TopologicalSpace N] [inst_5 : ChartedSpace H N] {n : WithTop ℕ∞} {A : Type u_10} [inst_6 : NormedRing A]
  [inst_7 : NormedAlgebra 𝕜 A] [inst_8 : ContMDiffRing (modelWithCornersSelf 𝕜 A) n A]
  (a : ContMDiffMap I (modelWithCornersSelf 𝕜 A) N A n) (a_1 : N), ContMDiffMap.coeFnAlgHom a a_1 = a a_1

Defined in

Mathlib.Geometry.Manifold.Algebra.SmoothFunctions

Cited by

0 results in Mathlib

Foundations

Depth 221 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

NontriviallyNormedFieldNormedAddCommGroupNormedSpaceTopologicalSpaceTopologicalSpaceChartedSpaceNormedRingNormedAlgebraContMDiffRing