Theorems · Theorem · real analysis
ENNReal.rpow_neg
∀ (x : ENNReal) (y : ℝ), x ^ (-y) = (x ^ y)⁻¹
- Cited by
- 6 results in Mathlib
- Foundations
- Depth 201 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites22
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
- ENNRealstatement and proof · cited by 9,879
- Top.topproof · cited by 9,680
- AddGroupproof · cited by 4,410
- NNRealproof · cited by 4,310
- ENNReal.ofNNRealproof · cited by 1,279
- neg_zeroproof · cited by 542
- inv_oneproof · cited by 301
- AddLeftStrictMonoproof · cited by 203
- lt_trichotomyproof · cited by 178
- neg_posproof · cited by 74
- ENNReal.recTopCoeproof · cited by 48
Cited by6
Results whose statement or proof uses this declaration.
- ENNReal.continuous_rpow_constproof · cited by 5
- ENNReal.rpow_posproof · cited by 3
- ENNReal.rpow_subproof · cited by 3
- ENNReal.rpow_intCastproof · cited by 2
- ENNReal.lintegral_Lp_add_le_of_le_oneproof · cited by 1
- ENNReal.rpow_neg_oneproof · cited by 0