Theorems · Definition · general topology
Homeomorph.prodUnique
(X : Type u_1) → (Y : Type u_2) → [inst : TopologicalSpace X] → [inst_1 : TopologicalSpace Y] → [Unique Y] → X × Y ≃ₜ X
X × {*} is homeomorphic to X.
- Defined in
- Mathlib.Topology.Homeomorph.Lemmas
- Cited by
- 3 results in Mathlib
- Foundations
- Depth 75 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
- Equivproof · cited by 8,337
- Homeomorphstatement · cited by 725
- Uniquestatement and proof · cited by 400
- Equiv.prodUniqueproof · cited by 6
Cited by4
Results whose statement or proof uses this declaration.
- Homeomorph.uniqueProdproof · cited by 3
- Homeomorph.prodUnique_symm_apply_sndstatement and proof · cited by 0
- Homeomorph.uniqueProd_symm_apply_sndstatement · cited by 0
- Homeomorph.coe_prodUniquestatement · cited by 0