Theorems · Theorem · general topology
Homeomorph.isInducing
∀ {X : Type u_1} {Y : Type u_2} [inst : TopologicalSpace X] [inst_1 : TopologicalSpace Y] (h : X ≃ₜ Y),
Topology.IsInducing ⇑h- Defined in
- Mathlib.Topology.Homeomorph.Defs
- Cited by
- 33 results in Mathlib
- Foundations
- Depth 70 from the axioms · uses propext, Classical.choice, Quot.sound
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.
- DFunLike.coestatement · cited by 62,936
- TopologicalSpacestatement and proof · cited by 24,529
- Homeomorphstatement and proof · cited by 725
- Homeomorph.symmproof · cited by 365
- Topology.IsInducingstatement and proof · cited by 266
- Homeomorph.continuousproof · cited by 53
- Topology.IsInducing.of_compproof · cited by 11
- Homeomorph.symm_comp_selfproof · cited by 5
Cited by33
Results whose statement or proof uses this declaration.
- Homeomorph.isEmbeddingproof · cited by 73
- Homeomorph.comp_continuous_iffproof · cited by 5
- Homeomorph.comp_continuousOn_iffproof · cited by 4
- Homeomorph.nhds_eq_comapproof · cited by 4
- Homeomorph.secondCountableTopologyproof · cited by 3
- Units.continuous_iffproof · cited by 3
- AddUnits.continuous_iffproof · cited by 3
- AlgebraicGeometry.isBasis_basicOpenproof · cited by 3
- Homeomorph.comp_continuousAt_iffproof · cited by 2
- TopCat.prod_topologyproof · cited by 2
- PartialHomeomorph.isEmbedding_restrictproof · cited by 2
- Homeomorph.induced_eqproof · cited by 2