Theorems · Theorem · general topology
OnePoint.isOpenEmbedding_coe
∀ {X : Type u_1} [inst : TopologicalSpace X], Topology.IsOpenEmbedding OnePoint.some- Cited by
- 9 results in Mathlib
- Foundations
- Depth 92 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.
Cites8
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- TopologicalSpacestatement and proof · cited by 24,529
- Topology.IsOpenEmbeddingstatement · cited by 231
- OnePointstatement · cited by 126
- OnePoint.somestatement · cited by 76
- Topology.IsOpenEmbedding.of_continuous_injective_isOpenMapproof · cited by 13
- OnePoint.coe_injectiveproof · cited by 6
- OnePoint.isOpenMap_coeproof · cited by 1
- OnePoint.continuous_coeproof · cited by 1
Cited by9
Results whose statement or proof uses this declaration.
- OnePoint.nhds_coe_eqproof · cited by 2
- OnePoint.isOpen_range_coeproof · cited by 1
- OnePoint.continuous_map_iffproof · cited by 1
- OnePoint.nhdsWithin_coeproof · cited by 0
- OnePoint.nhdsWithin_coe_imageproof · cited by 0
- OnePoint.comap_coe_nhdsproof · cited by 0
- OnePoint.isDenseEmbedding_coeproof · cited by 0
- OnePoint.inseparable_coeproof · cited by 0
- OnePoint.specializes_coeproof · cited by 0