Theorems · Theorem · real analysis
Real.rpow_natCast_mul
∀ {x : ℝ}, 0 ≤ x → ∀ (n : ℕ) (z : ℝ), x ^ (↑n * z) = (x ^ n) ^ z- 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.
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_natCastproof · cited by 93
- Real.rpow_mulproof · cited by 67
Cited by3
Results whose statement or proof uses this declaration.
- hasFDerivAt_norm_rpowproof · cited by 5
- hasSum_mellin_pi_mul_sqproof · cited by 3
- Mathlib.Meta.NormNum.IsNat.rpow_isNNRatproof · cited by 0