Theorems · Theorem · general topology
Topology.IsClosedEmbedding.subtypeVal
∀ {X : Type u} [inst : TopologicalSpace X] {p : X → Prop}, IsClosed {a | p a} → Topology.IsClosedEmbedding Subtype.val- Defined in
- Mathlib.Topology.Constructions
- Cited by
- 4 results in Mathlib
- Foundations
- Depth 68 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.
Cites7
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Setproof · cited by 53,352
- TopologicalSpacestatement and proof · cited by 24,529
- Set.ofPredstatement and proof · cited by 6,101
- IsClosedstatement and proof · cited by 1,639
- Topology.IsClosedEmbeddingstatement · cited by 195
- Subtype.range_coe_subtypeproof · cited by 170
- Topology.IsEmbedding.subtypeValproof · cited by 41
Cited by4
Results whose statement or proof uses this declaration.
- IsClosed.isClosedEmbedding_subtypeValproof · cited by 19
- isCompact_setOfPred_finiteMeasure_le_of_isCompactproof · cited by 2
- Submodule.isClosedEmbedding_subtypeLproof · cited by 1
- Submodule.isClosedEmbedding_subtypeproof · cited by 0