Theorems · Theorem · real analysis
ENNReal.coe_zpow
∀ {r : NNReal}, r ≠ 0 → ∀ (n : ℤ), ↑(r ^ n) = ↑r ^ n- Defined in
- Mathlib.Data.ENNReal.Inv
- Cited by
- 5 results in Mathlib
- Foundations
- Depth 129 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites7
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- ENNRealstatement · cited by 9,879
- NNRealstatement and proof · cited by 4,310
- ENNReal.ofNNRealstatement and proof · cited by 1,279
- zpow_natCastproof · cited by 271
- pow_ne_zeroproof · cited by 208
- zpow_negSuccproof · cited by 92
- ENNReal.coe_invproof · cited by 27
Cited by5
Results whose statement or proof uses this declaration.
- ENNReal.zpow_addproof · cited by 4
- VitaliFamily.le_mul_withDensityproof · cited by 1
- VitaliFamily.withDensity_le_mulproof · cited by 1
- ENNReal.exists_mem_Ico_zpowproof · cited by 1
- ENNReal.exists_mem_Ioc_zpowproof · cited by 0