Theorems · Theorem · general topology

PartitionOfUnity.sum_finsupport

∀ {ι : Type u} {X : Type v} [inst : TopologicalSpace X] {s : Set X} (ρ : PartitionOfUnity ι X s) {x₀ : X},
  x₀ ∈ s → ∑ i ∈ ρ.finsupport x₀, (ρ i) x₀ = 1

Defined in

Mathlib.Topology.PartitionOfUnity

Cited by

2 results in Mathlib

Foundations

Depth 124 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

TopologicalSpace