mathlib
dabb0c61 - feat(probability/independence): equivalent ways to check indep_fun (#14814)

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3 years ago
feat(probability/independence): equivalent ways to check indep_fun (#14814) Prove: - `indep_fun f g μ ↔ ∀ s t, measurable_set s → measurable_set t → μ (f ⁻¹' s ∩ g ⁻¹' t) = μ (f ⁻¹' s) * μ (g ⁻¹' t)`, - `indep_fun f g μ ↔ ∀ s t, measurable_set s → measurable_set t → indep_set (f ⁻¹' s) (g ⁻¹' t) μ`.
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