Theorems · Theorem · general topology
Topology.IsEmbedding.subtypeVal
∀ {X : Type u} [inst : TopologicalSpace X] {p : X → Prop}, Topology.IsEmbedding Subtype.val- Defined in
- Mathlib.Topology.Constructions
- Cited by
- 41 results in Mathlib
- Foundations
- Depth 67 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.
Cites4
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.IsEmbeddingstatement · cited by 294
- Subtype.coe_injectiveproof · cited by 205
- Topology.IsInducing.subtypeValproof · cited by 43
Cited by41
Results whose statement or proof uses this declaration.
- IsOpen.isOpenEmbedding_subtypeValproof · cited by 32
- Topology.IsEmbedding.inclusionproof · cited by 8
- Topology.IsClosedEmbedding.subtypeValproof · cited by 4
- Complex.UnitDisc.isEmbedding_coeproof · cited by 4
- LinearMap.isClosedEmbedding_of_injectiveproof · cited by 3
- loc_compact_Haus_tot_disc_of_zero_dimproof · cited by 2
- Complex.UnitClosedDisc.isEmbedding_coeproof · cited by 2
- mem_codiscrete_subtype_iff_mem_codiscreteWithinproof · cited by 2
- IsRetrocompact_iff_isSpectralMap_subtypeValproof · cited by 2
- IsProperMap.restrictPreimageproof · cited by 2
- isClosed_preimage_valproof · cited by 2
- IsLocallyClosed.locallyCompactSpaceproof · cited by 2