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Theorems · Theorem · real analysis

ENNReal.rpow_ofNat

∀ (x : ENNReal) (n : ℕ) [inst : n.AtLeastTwo], x ^ OfNat.ofNat n = x ^ OfNat.ofNat n
Defined in
Mathlib.Analysis.SpecialFunctions.Pow.NNReal
Cited by
3 results in Mathlib
Foundations
Depth 203 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
Nat.AtLeastTwo
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Around this declaration

Dashed lines are statement dependencies; solid lines are citations in proofs.

ENNReal.rpow_two · cited by 3ENNReal.rpow_twoPiLp.edist_eq_of_L2 · cited by 1PiLp.edist_eq_of_L2WithLp.prod_edist_eq_of_L2 · cited by 0WithLp.prod_edist_eq_of_L2Real · cited by 25697RealENNReal · cited by 9879ENNRealNat.AtLeastTwo · cited by 405Nat.AtLeastTwoENNReal.rpow_natCast · cited by 18ENNReal.rpow_natCastENNReal.rpow_ofNatCITED BYCITES

Cites4

Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.

Cited by3

Results whose statement or proof uses this declaration.