[Merged by Bors] - feat(measure_theory/function/uniform_integrable): Equivalent condition for uniformly integrable in the probability sense #12955
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…n for uniformly integrable in the probability sense (#12955) A sequence of functions is uniformly integrable in the probability sense if and only if `∀ ε : ℝ, 0 < ε → ∃ C : ℝ≥0, ∀ i, snorm ({x | C ≤ ∥f i x∥₊}.indicator (f i)) p μ ≤ ennreal.of_real ε`.
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A sequence of functions is uniformly integrable in the probability sense if and only if
∀ ε : ℝ, 0 < ε → ∃ C : ℝ≥0, ∀ i, snorm ({x | C ≤ ∥f i x∥₊}.indicator (f i)) p μ ≤ ennreal.of_real ε.