Theorems · Theorem · general topology

Metric.glueDist_glued_points

∀ {X : Type u} {Y : Type v} {Z : Type w} [inst : MetricSpace X] [inst_1 : MetricSpace Y] [Nonempty Z] (Φ : Z → X)
  (Ψ : Z → Y) (ε : ℝ) (p : Z), Metric.glueDist Φ Ψ ε (Sum.inl (Φ p)) (Sum.inr (Ψ p)) = ε

Defined in

Mathlib.Topology.MetricSpace.Gluing

Cited by

2 results in Mathlib

Foundations

Depth 117 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

MetricSpaceMetricSpaceNonempty