Theorems · Theorem · real analysis
NNReal.rpow_neg
∀ (x : NNReal) (y : ℝ), x ^ (-y) = (x ^ y)⁻¹
- Cited by
- 7 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_negproof · cited by 36
Cited by7
Results whose statement or proof uses this declaration.
- ENNReal.rpow_negproof · cited by 6
- NNReal.rpow_intCastproof · cited by 4
- NNReal.rpow_posproof · cited by 3
- volume_iUnion_setOfPred_liouvilleWithproof · cited by 2
- NNReal.rpow_neg_oneproof · cited by 1
- Mathlib.Meta.NormNum.nnreal_rpow_isRat_eq_inv_nnreal_rpowproof · cited by 0
- CFC.rpow_negproof · cited by 0