Theorems · Definition · general topology
Fin.appendHomeomorph
{X : Type u_1} → [inst : TopologicalSpace X] → (m n : ℕ) → (Fin m → X) × (Fin n → X) ≃ₜ (Fin (m + n) → X)The natural homeomorphism between (Fin m → X) × (Fin n → X) and Fin (m + n) → X.
Fin.appendEquiv as a homeomorphism
- Defined in
- Mathlib.Topology.Homeomorph.Lemmas
- Cited by
- 4 results in Mathlib
- Foundations
- Depth 80 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
- Fin.appendEquivproof · cited by 4
Cited by4
Results whose statement or proof uses this declaration.
- Fin.appendHomeomorph_applystatement and proof · cited by 0
- Fin.appendHomeomorph_symm_applystatement and proof · cited by 0
- Fin.appendHomeomorph_toEquivstatement · cited by 0
- Fin.appendIsometry_toHomeomorphstatement · cited by 0