Theorems · Theorem · general topology
PartialHomeomorph.image_source_eq_target
∀ {X : Type u_1} {Y : Type u_3} [inst : TopologicalSpace X] [inst_1 : TopologicalSpace Y] (e : PartialHomeomorph X Y),
↑e '' e.source = e.target- Defined in
- Mathlib.Topology.PartialHomeomorph.Basic
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 14 from the axioms · uses propext, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites9
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Setstatement · cited by 53,352
- TopologicalSpacestatement and proof · cited by 24,529
- Set.imagestatement · cited by 5,609
- PartialEquiv.sourcestatement · cited by 964
- PartialHomeomorph.toPartialEquivstatement and proof · cited by 917
- PartialEquiv.targetstatement · cited by 650
- PartialHomeomorphstatement and proof · cited by 73
- PartialHomeomorph.toFun'statement · cited by 57
- PartialEquiv.image_source_eq_targetproof · cited by 18
Cited by2
Results whose statement or proof uses this declaration.
- PartialHomeomorph.toHomeomorphSourceTargetproof · cited by 4
- PartialHomeomorph.symm_image_target_eq_sourceproof · cited by 0