Real.geom_mean_eq_arith_mean2_weighted_iff_of_pos

∀ {w₁ w₂ p₁ p₂ : ℝ}, 0 < w₁ → 0 < w₂ → 0 ≤ p₁ → 0 ≤ p₂ → w₁ + w₂ = 1 → (p₁ ^ w₁ * p₂ ^ w₂ = w₁ * p₁ + w₂ * p₂ ↔ p₁ = p₂)

Defined in: Mathlib.Analysis.MeanInequalities
Cited by: 0 results in Mathlib
Foundations: Depth 200 from the axioms · uses propext, Classical.choice, Quot.sound

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