Theorems · Theorem · real analysis
NNReal.list_prod_map_rpow
∀ (l : List NNReal) (r : ℝ), (List.map (fun x => x ^ r) l).prod = l.prod ^ r
rpow variant of List.prod_map_pow for ℝ≥0
- Cited by
- 2 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.
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
- NNRealstatement and proof · cited by 4,310
- List.prod_homproof · cited by 8
- NNReal.rpowMonoidHomproof · cited by 3
Cited by2
Results whose statement or proof uses this declaration.
- Real.list_prod_map_rpowproof · cited by 1
- NNReal.list_prod_map_rpow'proof · cited by 0