Theorems · Theorem · general topology
Metric.glueDist_swap
∀ {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 : X ⊕ Y), Metric.glueDist Ψ Φ ε x.swap y.swap = Metric.glueDist Φ Ψ ε x y- Defined in
- Mathlib.Topology.MetricSpace.Gluing
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 115 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- MetricSpaceMetricSpace
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- 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
- add_commproof · cited by 1,535
- Metric.glueDiststatement and proof · cited by 6
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