Theorems · Theorem · general topology
Metric.le_glueDist_inr_inl
∀ {X : Type u} {Y : Type v} {Z : Type w} [inst : MetricSpace X] [inst_1 : MetricSpace Y] (Φ : Z → X) (Ψ : Z → Y) (ε : ℝ)
(x : Y) (y : X), ε ≤ Metric.glueDist Φ Ψ ε (Sum.inr x) (Sum.inl y)- Defined in
- Mathlib.Topology.MetricSpace.Gluing
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 121 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
- MetricSpacestatement and proof · cited by 1,684
- Metric.glueDiststatement · cited by 6
- Metric.le_glueDist_inl_inrproof · cited by 2
Cited by1
Results whose statement or proof uses this declaration.
- Metric.Sum.mem_uniformity_iff_glueDistproof · cited by 0