Theorems · Theorem · real analysis
ENNReal.inv_zpow
∀ (x : ENNReal) (n : ℤ), x⁻¹ ^ n = (x ^ n)⁻¹
- Defined in
- Mathlib.Data.ENNReal.Inv
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 132 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites5
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- ENNRealstatement and proof · cited by 9,879
- inv_invproof · cited by 494
- zpow_natCastproof · cited by 271
- zpow_negSuccproof · cited by 92
- ENNReal.inv_powproof · cited by 9
Cited by2
Results whose statement or proof uses this declaration.
- ENNReal.zpow_le_one_of_nonposproof · cited by 1
- ENNReal.inv_zpow'proof · cited by 1