Theorems · Definition · global analysis

ContMDiffMap.coeFnAddMonoidHom

{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 : AddMonoid G] →
                                        [inst_10 : TopologicalSpace G] →
                                          [inst_11 : ChartedSpace H' G] →
                                            [inst_12 : ContMDiffAdd I' n G] → ContMDiffMap I I' N G n →+ N → G

Coercion to a function as an AddMonoidHom. Similar to AddMonoidHom.coeFn.

Defined in

Mathlib.Geometry.Manifold.Algebra.SmoothFunctions

Cited by

1 results in Mathlib

Foundations

Depth 212 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

NontriviallyNormedFieldNormedAddCommGroupNormedSpaceNormedAddCommGroupNormedSpaceTopologicalSpaceTopologicalSpaceTopologicalSpaceChartedSpaceAddMonoidTopologicalSpaceChartedSpaceContMDiffAdd