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Theorems · Theorem · measure theory

MeasureTheory.Measure.ext_iff_singleton

∀ {α : Type u_1} [inst : MeasurableSpace α] [Countable α] {μ ν : MeasureTheory.Measure α},
  μ = ν ↔ ∀ (a : α), μ {a} = ν {a}

Two measures on a countable space are equal if and only if they agree on singletons.

Defined in
Mathlib.MeasureTheory.Measure.Dirac
Cited by
1 results in Mathlib
Foundations
Depth 209 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
MeasurableSpaceCountable

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