Theorems · Theorem · real analysis
Real.rpow_ofNat
∀ (x : ℝ) (n : ℕ) [inst : n.AtLeastTwo], x ^ OfNat.ofNat n = x ^ OfNat.ofNat n
- Cited by
- 12 results in Mathlib
- Foundations
- Depth 198 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- Nat.AtLeastTwo
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites3
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Realstatement and proof · cited by 25,697
- Nat.AtLeastTwostatement and proof · cited by 405
- Real.rpow_natCastproof · cited by 93
Cited by12
Results whose statement or proof uses this declaration.
- Real.Gamma_one_half_eqproof · cited by 6
- MeasureTheory.MemLp.integrable_sqproof · cited by 5
- Real.rpow_twoproof · cited by 4
- ProbabilityTheory.IsGaussian.memLp_idproof · cited by 4
- Matrix.frobenius_norm_defproof · cited by 2
- EuclideanSpace.volume_ballproof · cited by 2
- EisensteinSeries.summable_linear_right_add_one_mul_linear_rightproof · cited by 1
- EisensteinSeries.summable_linear_sub_mul_linear_addproof · cited by 1
- Real.tendsto_integral_gaussian_smul'proof · cited by 1
- Matrix.frobenius_norm_replicateColproof · cited by 1
- MeasureTheory.memLp_two_iff_integrable_sq_normproof · cited by 1
- TemperedDistribution.MemSobolev.lineDerivOpproof · cited by 0