Theorems · Theorem · general topology
induced_id
∀ {α : Type u_1} [t : TopologicalSpace α], TopologicalSpace.induced id t = t- Defined in
- Mathlib.Topology.Order
- Cited by
- 4 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.
Cites6
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.preimageproof · cited by 4,946
- IsOpenproof · cited by 2,400
- TopologicalSpace.inducedstatement · cited by 148
- TopologicalSpace.extproof · cited by 15
Cited by4
Results whose statement or proof uses this declaration.
- Topology.IsInducing.idproof · cited by 4
- IsModuleTopology.isoₛₗproof · cited by 1
- induced_fun_idproof · cited by 1
- NormedSpace.Dual.dual_norm_topology_le_weak_dual_topologyproof · cited by 1