Theorems · Definition · global analysis

ContMDiffMap.C

{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] →
                                𝕜 →+* ContMDiffMap I (modelWithCornersSelf 𝕜 A) N A n

C^n constant functions as a RingHom.

Defined in

Mathlib.Geometry.Manifold.Algebra.SmoothFunctions

Cited by

0 results in Mathlib

Foundations

Depth 216 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

NontriviallyNormedFieldNormedAddCommGroupNormedSpaceTopologicalSpaceTopologicalSpaceChartedSpaceNormedRingNormedAlgebraContMDiffRing