Mathlib Map

Theorems · Definition · global analysis

ModelWithCorners.extendCoordChange

{𝕜 : Type u_1} →
  {E : Type u_2} →
    {M : Type u_3} →
      {H : Type u_4} →
        [inst : NontriviallyNormedField 𝕜] →
          [inst_1 : NormedAddCommGroup E] →
            [inst_2 : NormedSpace 𝕜 E] →
              [inst_3 : TopologicalSpace H] →
                [inst_4 : TopologicalSpace M] →
                  {I : ModelWithCorners 𝕜 E H} →
                    OpenPartialHomeomorph M H → OpenPartialHomeomorph M H → PartialEquiv E E

The change of charts from e to e' in the model vector space E.

Defined in
Mathlib.Geometry.Manifold.IsManifold.ExtChartAt
Cited by
20 results in Mathlib
Foundations
Depth 24 from the axioms · uses propext, Quot.sound
Assumes
NontriviallyNormedFieldNormedAddCommGroupNormedSpaceTopologicalSpaceTopologicalSpace

Around this declaration

Dashed lines are statement dependencies; solid lines are citations in proofs.

ModelWithCorners.extendCoordChange_source · cited by 9ModelWithCorners.extendCo…ModelWithCorners.contDiffOn_extendCoordChange · cited by 7ModelWithCorners.contDiff…ModelWithCorners.contDiffWithinAt_extendCoordChange · cited by 3ModelWithCorners.contDiff…OpenPartialHomeomorph.extend_image_source_inter · cited by 3OpenPartialHomeomorph.ext…ModelWithCorners.extendCoordChange_source_mem_nhdsWithin · cited by 3ModelWithCorners.extendCo…ModelWithCorners.uniqueDiffOn_extendCoordChange_source · cited by 2ModelWithCorners.uniqueDi…ModelWithCorners.isInvertible_fderivWithin_extendCoordChange · cited by 1ModelWithCorners.isInvert…ModelWithCorners.contDiffOn_extendCoordChange_symm · cited by 1ModelWithCorners.contDiff…ModelWithCorners.contDiffWithinAt_extendCoordChange' · cited by 1ModelWithCorners.contDiff…ModelWithCorners.mem_interior_range_of_mem_interior_range_of_mem_atlas · cited by 1ModelWithCorners.mem_inte…ModelWithCorners.extendCoordChange_source_mem_nhdsWithin' · cited by 1ModelWithCorners.extendCo…ModelWithCorners.extendCoordChange_symm · cited by 1ModelWithCorners.extendCo…OpenPartialHomeomorph.extend_coord_change_source · cited by 0OpenPartialHomeomorph.ext…OpenPartialHomeomorph.extend_coord_change_source_mem_nhdsWithin · cited by 0OpenPartialHomeomorph.ext…OpenPartialHomeomorph.extend_coord_change_source_mem_nhdsWithin' · cited by 0OpenPartialHomeomorph.ext…TopologicalSpace · cited by 24529TopologicalSpaceNormedAddCommGroup · cited by 15752NormedAddCommGroupNormedSpace · cited by 12499NormedSpaceNontriviallyNormedField · cited by 8742NontriviallyNormedFieldModelWithCorners · cited by 2462ModelWithCornersOpenPartialHomeomorph · cited by 664OpenPartialHomeomorphPartialEquiv.symm · cited by 453PartialEquiv.symmPartialEquiv · cited by 335PartialEquivOpenPartialHomeomorph.extend · cited by 133OpenPartialHomeomorph.ext…PartialEquiv.trans · cited by 88PartialEquiv.transModelWithCorners.extendCoordC…CITED BYCITES

Cites10

Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.

Cited by20

Results whose statement or proof uses this declaration.