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Theorems · Definition · real analysis

NNReal.orderIsoRpow

(y : ℝ) → 0 < y → NNReal ≃o NNReal

Bundles fun x : ℝ≥0 => x ^ y into an order isomorphism when y : ℝ is positive, where the inverse is fun x : ℝ≥0 => x ^ (1 / y).

Defined in
Mathlib.Analysis.SpecialFunctions.Pow.NNReal
Cited by
4 results in Mathlib
Foundations
Depth 200 from the axioms · uses propext, Classical.choice, Quot.sound

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