Theorems · Theorem · general topology
OpenPartialHomeomorph.IsImage.frontier
∀ {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 (frontier s) (frontier t)- Cited by
- 3 results in Mathlib
- Foundations
- Depth 78 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites8
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
- OpenPartialHomeomorphstatement and proof · cited by 664
- frontierstatement · cited by 214
- OpenPartialHomeomorph.IsImagestatement and proof · cited by 46
- OpenPartialHomeomorph.IsImage.closureproof · cited by 3
- OpenPartialHomeomorph.IsImage.interiorproof · cited by 2
- OpenPartialHomeomorph.IsImage.diffproof · cited by 1
Cited by3
Results whose statement or proof uses this declaration.
- OpenPartialHomeomorph.symm_piecewisestatement · cited by 0
- Bundle.Trivialization.frontier_preimageproof · cited by 0
- OpenPartialHomeomorph.preimage_frontierproof · cited by 0