Theorems · Theorem · general topology
Topology.IsInducing.subtypeVal
∀ {Y : Type v} [inst : TopologicalSpace Y] {t : Set Y}, Topology.IsInducing Subtype.val- Defined in
- Mathlib.Topology.Constructions
- Cited by
- 43 results in Mathlib
- Foundations
- Depth 66 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.
Cites3
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
- Topology.IsInducingstatement · cited by 266
Cited by43
Results whose statement or proof uses this declaration.
- Topology.IsEmbedding.subtypeValproof · cited by 41
- Dense.isDenseInducing_valproof · cited by 8
- map_nhds_subtype_valproof · cited by 6
- IsPreconnected.subset_connectedComponentInproof · cited by 6
- TopologicalSpace.IsSeparable.separableSpaceproof · cited by 5
- Subtype.preconnectedSpaceproof · cited by 4
- isPreconnected_connectedComponentInproof · cited by 4
- isPathConnected_iff_pathConnectedSpaceproof · cited by 4
- Subtype.dense_iffproof · cited by 3
- Continuous.specialLinearGroup_mapproof · cited by 3
- Submodule.IsCompl.isTopCompl_iff_projectionOntoproof · cited by 3
- completelyNormalSpace_iff_forall_isOpen_normalSpaceproof · cited by 3