Theorems · Theorem · real analysis
ENNReal.zpow_add
∀ {x : ENNReal}, x ≠ 0 → x ≠ ⊤ → ∀ (m n : ℤ), x ^ (m + n) = x ^ m * x ^ n- Defined in
- Mathlib.Data.ENNReal.Inv
- Cited by
- 4 results in Mathlib
- Foundations
- Depth 130 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites6
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
- Top.topstatement and proof · cited by 9,680
- NNRealproof · cited by 4,310
- ENNReal.ofNNRealproof · cited by 1,279
- zpow_add₀proof · cited by 30
- ENNReal.coe_zpowproof · cited by 5
Cited by4
Results whose statement or proof uses this declaration.
- ENNReal.zpow_negproof · cited by 3
- VitaliFamily.withDensity_le_mulproof · cited by 1
- VitaliFamily.le_mul_withDensityproof · cited by 1
- ENNReal.zpow_subproof · cited by 0