Theorems · Definition · general topology
Metric.inductiveLimitDist
{X : ℕ → Type u} → [(n : ℕ) → MetricSpace (X n)] → ((n : ℕ) → X n → X (n + 1)) → (n : ℕ) × X n → (n : ℕ) × X n → ℝPredistance on the disjoint union Σ n, X n.
- Defined in
- Mathlib.Topology.MetricSpace.Gluing
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 21 from the axioms · uses propext
- Assumes
- MetricSpace
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.
- Realstatement · cited by 25,697
- MetricSpacestatement and proof · cited by 1,684
- Dist.distproof · cited by 1,539
- Nat.leRecOnproof · cited by 13
Cited by2
Results whose statement or proof uses this declaration.
- Metric.inductiveLimitDist_eq_diststatement · cited by 2
- Metric.inductivePremetricproof · cited by 1