Theorems · Theorem · general topology
OpenPartialHomeomorph.image_source_eq_target
∀ {X : Type u_1} {Y : Type u_3} [inst : TopologicalSpace X] [inst_1 : TopologicalSpace Y]
(e : OpenPartialHomeomorph X Y), ↑e '' e.source = e.target- Cited by
- 6 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.
Cites10
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
- OpenPartialHomeomorph.toPartialHomeomorphstatement and proof · cited by 851
- OpenPartialHomeomorph.toFun'statement · cited by 745
- OpenPartialHomeomorphstatement and proof · cited by 664
- PartialEquiv.targetstatement · cited by 650
- PartialEquiv.image_source_eq_targetproof · cited by 18
Cited by7
Results whose statement or proof uses this declaration.
- OpenPartialHomeomorph.toHomeomorphSourceTargetproof · cited by 6
- OpenPartialHomeomorph.extend_target_eq_image_sourceproof · cited by 3
- OpenPartialHomeomorph.symm_image_target_eq_sourceproof · cited by 3
- OpenPartialHomeomorph.isOpenEmbedding_restrictproof · cited by 2
- ContDiffGroupoid.mem_of_source_eq_emptyproof · cited by 1
- OpenPartialHomeomorph.subtypeRestr_target_subsetproof · cited by 0
- OpenPartialHomeomorph.restr_symm_transproof · cited by 0