Theorems · Definition · global analysis

ModelWithCorners.transContinuousLinearEquiv

{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_5} →
                  [inst_5 : TopologicalSpace H] → ModelWithCorners 𝕜 E H → (E ≃L[𝕜] E') → ModelWithCorners 𝕜 E' H

Apply a continuous linear equivalence to the model vector space.

Defined in

Mathlib.Geometry.Manifold.Diffeomorph

Cited by

14 results in Mathlib

Foundations

Depth 166 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

NontriviallyNormedFieldNormedAddCommGroupNormedSpaceNormedAddCommGroupNormedSpaceTopologicalSpace