Theorems · Theorem · real analysis
Real.pow_rpow_inv_natCast
∀ {x : ℝ} {n : ℕ}, 0 ≤ x → n ≠ 0 → (x ^ n) ^ (↑n)⁻¹ = x- Cited by
- 3 results in Mathlib
- Foundations
- Depth 198 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites6
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
- mul_inv_cancel₀proof · cited by 210
- Real.rpow_oneproof · cited by 114
- Nat.cast_ne_zeroproof · cited by 113
- Real.rpow_natCastproof · cited by 93
- Real.rpow_mulproof · cited by 67
Cited by3
Results whose statement or proof uses this declaration.
- norm_root_le_spectralValueproof · cited by 3
- NNReal.pow_rpow_inv_natCastproof · cited by 1
- Mathlib.Meta.NormNum.IsNat.rpow_isNNRatproof · cited by 0