Theorems · Theorem · real analysis
Real.inv_rpow
∀ {x : ℝ}, 0 ≤ x → ∀ (y : ℝ), x⁻¹ ^ y = (x ^ y)⁻¹- Cited by
- 14 results in Mathlib
- Foundations
- Depth 204 from the axioms · uses propext, Classical.choice, Quot.sound
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
- Real.rpow_negproof · cited by 36
- Real.rpow_neg_eq_inv_rpowproof · cited by 6
Cited by14
Results whose statement or proof uses this declaration.
- Real.div_rpowproof · cited by 10
- NNReal.inv_rpowproof · cited by 4
- WeakFEPair.h_feq'proof · cited by 3
- WeakFEPair.hf_zeroproof · cited by 2
- ZetaAsymptotics.termTSum_of_ltproof · cited by 2
- LSeries.tendsto_cpow_mul_atTopproof · cited by 2
- Real.harm_mean_le_geom_mean_weightedproof · cited by 1
- Complex.volume_sum_rpow_ltproof · cited by 1
- MeasureTheory.volume_sum_rpow_ltproof · cited by 1
- isBigO_rpow_zero_log_smulproof · cited by 1
- intervalIntegral_pow_mul_exp_neg_leproof · cited by 1
- hasSum_mellinproof · cited by 1