Theorems · Theorem · real analysis
ENNReal.mul_rpow_of_ne_top
∀ {x y : ENNReal}, x ≠ ⊤ → y ≠ ⊤ → ∀ (z : ℝ), (x * y) ^ z = x ^ z * y ^ z- Cited by
- 3 results in Mathlib
- Foundations
- Depth 204 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
- ENNRealstatement and proof · cited by 9,879
- Top.topstatement and proof · cited by 9,680
- ENNReal.mul_rpow_eq_iteproof · cited by 5
Cited by3
Results whose statement or proof uses this declaration.
- ENNReal.coe_mul_rpowproof · cited by 1
- ENNReal.prod_rpow_of_ne_topproof · cited by 0
- MeasureTheory.eLpNorm'_const'proof · cited by 0