Theorems · Theorem · real analysis
NNReal.rpow_mul
∀ (x : NNReal) (y z : ℝ), x ^ (y * z) = (x ^ y) ^ z
- Cited by
- 18 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.
Cites4
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
- NNRealstatement and proof · cited by 4,310
- NNReal.eqproof · cited by 201
- Real.rpow_mulproof · cited by 67
Cited by18
Results whose statement or proof uses this declaration.
- ENNReal.rpow_mulproof · cited by 33
- CFC.rpow_rpowproof · cited by 6
- NNReal.rpow_self_rpow_invproof · cited by 5
- PiLp.nnnorm_singleproof · cited by 4
- NNReal.rpow_inv_rpow_selfproof · cited by 3
- NNReal.rpow_add_rpow_leproof · cited by 2
- FormalMultilinearSeries.radius_eq_liminfproof · cited by 2
- NNReal.rpow_inv_rpowproof · cited by 1
- Matrix.frobenius_nnnorm_mulproof · cited by 1
- CFC.rpow_rpow_of_exponent_nonnegproof · cited by 1
- NumberField.mixedEmbedding.adjust_fproof · cited by 1
- NNReal.rpow_natCast_mulproof · cited by 1