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Theorems · Definition · general topology

Fin.appendIsometry

{α : Type u} → [inst : PseudoEMetricSpace α] → (m n : ℕ) → (Fin m → α) × (Fin n → α) ≃ᵢ (Fin (m + n) → α)

The natural IsometryEquiv between (Fin m → α) × (Fin n → α) and Fin (m + n) → α. Fin.appendEquiv as an IsometryEquiv.

Defined in
Mathlib.Topology.MetricSpace.Isometry
Cited by
3 results in Mathlib
Foundations
Depth 151 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
PseudoEMetricSpace

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