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Theorems · Theorem · real analysis

NNReal.rpow_ofNat

∀ (x : NNReal) (n : ℕ) [inst : n.AtLeastTwo], x ^ OfNat.ofNat n = x ^ OfNat.ofNat n
Defined in
Mathlib.Analysis.SpecialFunctions.Pow.NNReal
Cited by
4 results in Mathlib
Foundations
Depth 199 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.

NNReal.rpow_two · cited by 4NNReal.rpow_twoCFC.nnrpow_two · cited by 3CFC.nnrpow_twoMatrix.frobenius_norm_def · cited by 2Matrix.frobenius_norm_defCFC.nnrpow_three · cited by 0CFC.nnrpow_threeReal · cited by 25697RealNNReal · cited by 4310NNRealNat.AtLeastTwo · cited by 405Nat.AtLeastTwoNNReal.rpow_natCast · cited by 14NNReal.rpow_natCastNNReal.rpow_ofNatCITED BYCITES

Cites4

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

Cited by4

Results whose statement or proof uses this declaration.