Theorems · Theorem · general topology
TopologicalSpace.Opens.openPartialHomeomorphSubtypeCoe_target
∀ {X : Type u_1} [inst : TopologicalSpace X] (s : TopologicalSpace.Opens X) (hs : Nonempty ↥s),
(s.openPartialHomeomorphSubtypeCoe hs).target = ↑s- Cited by
- 4 results in Mathlib
- Foundations
- Depth 86 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- TopologicalSpace
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites11
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
- SetLike.coestatement and proof · cited by 8,199
- Set.ofPredproof · cited by 6,101
- TopologicalSpace.Opensstatement and proof · cited by 2,040
- PartialHomeomorph.toPartialEquivstatement · cited by 917
- OpenPartialHomeomorph.toPartialHomeomorphstatement · cited by 851
- PartialEquiv.targetstatement · cited by 650
- Subtype.range_coe_subtypeproof · cited by 170
- TopologicalSpace.Opens.openPartialHomeomorphSubtypeCoestatement · cited by 8
- Topology.IsOpenEmbedding.toOpenPartialHomeomorph_targetproof · cited by 5
Cited by4
Results whose statement or proof uses this declaration.
- ModelWithCorners.isInteriorPoint_iff_isInteriorPoint_valproof · cited by 2
- OpenPartialHomeomorph.map_subtype_sourceproof · cited by 2
- OpenPartialHomeomorph.subtypeRestr_symm_trans_subtypeRestrproof · cited by 1
- OpenPartialHomeomorph.subtypeRestr_symm_eqOn_of_leproof · cited by 1