Theorems · Definition · global analysis

Diffeomorph.sumEmpty

{𝕜 : Type u_1} →
  [inst : NontriviallyNormedField 𝕜] →
    {E : Type u_2} →
      [inst_1 : NormedAddCommGroup E] →
        [inst_2 : NormedSpace 𝕜 E] →
          {H : Type u_5} →
            [inst_3 : TopologicalSpace H] →
              (I : ModelWithCorners 𝕜 E H) →
                (M : Type u_9) →
                  [inst_4 : TopologicalSpace M] →
                    [inst_5 : ChartedSpace H M] →
                      (n : WithTop ℕ∞) →
                        {M' : Type u_13} →
                          [inst_6 : TopologicalSpace M'] →
                            [inst_7 : ChartedSpace H M'] → [IsEmpty M'] → Diffeomorph I I (M ⊕ M') M n

The canonical diffeomorphism M ⊕ ∅ → M

Defined in

Mathlib.Geometry.Manifold.Diffeomorph

Cited by

2 results in Mathlib

Foundations

Depth 207 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

NontriviallyNormedFieldNormedAddCommGroupNormedSpaceTopologicalSpaceTopologicalSpaceChartedSpaceTopologicalSpaceChartedSpaceIsEmpty