Theorems · Theorem · real analysis
NNReal.div_rpow
∀ (x y : NNReal) (z : ℝ), (x / y) ^ z = x ^ z / y ^ z
- Cited by
- 4 results in Mathlib
- Foundations
- Depth 206 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.div_rpowproof · cited by 10
Cited by4
Results whose statement or proof uses this declaration.
- NNReal.inner_le_Lp_mul_Lqproof · cited by 5
- NNReal.add_rpow_le_rpow_addproof · cited by 3
- NNReal.isGreatest_Lpproof · cited by 1
- Mathlib.Meta.NormNum.IsNNRat.nnreal_rpow_isNNRatproof · cited by 0