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Theorems · Definition · general topology

Metric.glueDist

{X : Type u} →
  {Y : Type v} → {Z : Type w} → [MetricSpace X] → [MetricSpace Y] → (Z → X) → (Z → Y) → ℝ → X ⊕ Y → X ⊕ Y → ℝ

Define a predistance on X ⊕ Y, for which Φ p and Ψ p are at distance ε

Defined in
Mathlib.Topology.MetricSpace.Gluing
Cited by
6 results in Mathlib
Foundations
Depth 114 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
MetricSpaceMetricSpace

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 and proof · cited by 25,697
  • iInfproof · cited by 1,690
  • MetricSpacestatement and proof · cited by 1,684
  • Dist.distproof · cited by 1,539

Cited by7

Results whose statement or proof uses this declaration.