Theorems · Theorem · general topology

dist_pi_const

∀ {α : Type u_1} {β : Type u_2} [inst : PseudoMetricSpace α] [inst_1 : Fintype β] [Nonempty β] (a b : α),
  (dist (fun x => a) fun x => b) = dist a b

Defined in

Mathlib.Topology.MetricSpace.Pseudo.Pi

Cited by

3 results in Mathlib

Foundations

Depth 153 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

PseudoMetricSpaceFintypeNonempty