one_add_mul_self_lt_rpow_one_add

∀ {s : ℝ}, -1 ≤ s → s ≠ 0 → ∀ {p : ℝ}, 1 < p → 1 + p * s < (1 + s) ^ p

Bernoulli's inequality for real exponents, strict version: for 1 < p and -1 ≤ s, with s ≠ 0, we have 1 + p * s < (1 + s) ^ p.

Defined in: Mathlib.Analysis.Convex.SpecificFunctions.Basic
Cited by: 2 results in Mathlib
Foundations: Depth 196 from the axioms · uses propext, Classical.choice, Quot.sound

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