Theorems · Theorem · general topology
IsHomeomorph.isInducing
∀ {X : Type u_1} {Y : Type u_2} [inst : TopologicalSpace X] [inst_1 : TopologicalSpace Y] {f : X → Y},
IsHomeomorph f → Topology.IsInducing f- Defined in
- Mathlib.Topology.Homeomorph.Lemmas
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 71 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites5
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.IsInducingstatement · cited by 266
- IsHomeomorphstatement and proof · cited by 69
- Homeomorph.isInducingproof · cited by 33
- IsHomeomorph.homeomorphproof · cited by 18
Cited by1
Results whose statement or proof uses this declaration.
- IsHomeomorph.topologicalKrullDim_eqproof · cited by 1