Theorems · Theorem · general topology
Homeomorph.toOpenPartialHomeomorph_target
∀ {X : Type u_1} {Y : Type u_3} [inst : TopologicalSpace X] [inst_1 : TopologicalSpace Y] (e : X ≃ₜ Y),
e.toOpenPartialHomeomorph.target = Set.univ- 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 · cited by 53,352
- TopologicalSpacestatement and proof · cited by 24,529
- Set.univstatement · cited by 3,945
- PartialHomeomorph.toPartialEquivstatement and proof · cited by 917
- OpenPartialHomeomorph.toPartialHomeomorphstatement and proof · cited by 851
- Homeomorphstatement and proof · cited by 725
- PartialEquiv.targetstatement and proof · cited by 650
- Homeomorph.toOpenPartialHomeomorphstatement and proof · cited by 28
Cited by3
Results whose statement or proof uses this declaration.
- isImmersionOfComplement_subtypeVal_Iccproof · cited by 3
- Diffeomorph.uniqueMDiffOn_image_auxproof · cited by 1
- stereographic'_targetproof · cited by 0