Theorems · Theorem · general topology
OpenPartialHomeomorph.subtypeRestr_target_subset
∀ {X : Type u_1} {Y : Type u_3} [inst : TopologicalSpace X] [inst_1 : TopologicalSpace Y]
(e : OpenPartialHomeomorph X Y) {s : TopologicalSpace.Opens X} (hs : Nonempty ↥s),
(e.subtypeRestr hs).target ⊆ e.target- Cited by
- 0 results in Mathlib
- Foundations
- Depth 88 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites14
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
- Set.imageproof · cited by 5,609
- Set.preimageproof · cited by 4,946
- TopologicalSpace.Opensstatement and proof · cited by 2,040
- PartialEquiv.sourceproof · cited by 964
- PartialHomeomorph.toPartialEquivstatement and proof · cited by 917
- OpenPartialHomeomorph.toPartialHomeomorphstatement and proof · cited by 851
- OpenPartialHomeomorph.toFun'proof · cited by 745
- OpenPartialHomeomorphstatement and proof · cited by 664
- PartialEquiv.targetstatement and proof · cited by 650
- OpenPartialHomeomorph.subtypeRestrstatement and proof · cited by 18
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