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 EThe change of charts from e to e' in the model vector space E.
- Cited by
- 20 results in Mathlib
- Foundations
- Depth 24 from the axioms · uses propext, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites10
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- TopologicalSpacestatement and proof · cited by 24,529
- NormedAddCommGroupstatement and proof · cited by 15,752
- NormedSpacestatement and proof · cited by 12,499
- NontriviallyNormedFieldstatement and proof · cited by 8,742
- ModelWithCornersstatement and proof · cited by 2,462
- OpenPartialHomeomorphstatement and proof · cited by 664
- PartialEquiv.symmproof · cited by 453
- PartialEquivstatement · cited by 335
- OpenPartialHomeomorph.extendproof · cited by 133
- PartialEquiv.transproof · cited by 88
Cited by20
Results whose statement or proof uses this declaration.
- ModelWithCorners.extendCoordChange_sourcestatement · cited by 9
- ModelWithCorners.contDiffOn_extendCoordChangestatement and proof · cited by 7
- ModelWithCorners.contDiffWithinAt_extendCoordChangestatement and proof · cited by 3
- OpenPartialHomeomorph.extend_image_source_interstatement · cited by 3
- ModelWithCorners.extendCoordChange_source_mem_nhdsWithinstatement and proof · cited by 3
- ModelWithCorners.uniqueDiffOn_extendCoordChange_sourcestatement · cited by 2
- ModelWithCorners.isInvertible_fderivWithin_extendCoordChangestatement and proof · cited by 1
- ModelWithCorners.contDiffOn_extendCoordChange_symmstatement · cited by 1
- ModelWithCorners.contDiffWithinAt_extendCoordChange'statement · cited by 1
- ModelWithCorners.mem_interior_range_of_mem_interior_range_of_mem_atlasproof · cited by 1
- ModelWithCorners.extendCoordChange_source_mem_nhdsWithin'statement · cited by 1
- ModelWithCorners.extendCoordChange_symmstatement and proof · cited by 1