Theorems · Definition · general topology
Homeomorph.prodPUnit
(X : Type u) → [inst : TopologicalSpace X] → X × PUnit.{u_7 + 1} ≃ₜ XX × {*} is homeomorphic to X.
- Defined in
- Mathlib.Topology.Constructions.SumProd
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 75 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.
Cites4
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
- Equivproof · cited by 8,337
- Homeomorphstatement · cited by 725
- Equiv.prodPUnitproof · cited by 2
Cited by3
Results whose statement or proof uses this declaration.
- isProperMap_fst_of_compactSpaceproof · cited by 3
- Homeomorph.punitProdproof · cited by 2
- Homeomorph.prodPUnit_applystatement and proof · cited by 0