Theorems · Theorem · general topology
OpenPartialHomeomorph.IsImage.toPartialEquiv
∀ {X : Type u_1} {Y : Type u_3} [inst : TopologicalSpace X] [inst_1 : TopologicalSpace Y]
{e : OpenPartialHomeomorph X Y} {s : Set X} {t : Set Y}, e.IsImage s t → e.IsImage s t- Cited by
- 7 results in Mathlib
- Foundations
- Depth 5 from the axioms · uses no axioms
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites7
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Setstatement and proof · cited by 53,352
- TopologicalSpacestatement and proof · cited by 24,529
- PartialHomeomorph.toPartialEquivstatement · cited by 917
- OpenPartialHomeomorph.toPartialHomeomorphstatement · cited by 851
- OpenPartialHomeomorphstatement and proof · cited by 664
- OpenPartialHomeomorph.IsImagestatement and proof · cited by 46
- PartialEquiv.IsImagestatement · cited by 37
Cited by8
Results whose statement or proof uses this declaration.
- OpenPartialHomeomorph.IsImage.symmproof · cited by 5
- OpenPartialHomeomorph.IsImage.restrproof · cited by 4
- OpenPartialHomeomorph.IsImage.symm_eqOn_of_inter_eq_of_eqOnproof · cited by 2
- OpenPartialHomeomorph.IsImage.image_eqproof · cited by 2
- OpenPartialHomeomorph.IsImage.inter_eq_of_inter_eq_of_eqOnproof · cited by 1
- OpenPartialHomeomorph.IsImage.mapsToproof · cited by 1
- OpenPartialHomeomorph.IsImage.leftInvOn_piecewiseproof · cited by 0
- OpenPartialHomeomorph.IsImage.restr_toPartialHomeomorphstatement · cited by 0