Theorems · Theorem · real analysis
NNReal.coe_prod
∀ {ι : Type u_2} (s : Finset ι) (f : ι → NNReal), ↑(∏ a ∈ s, f a) = ∏ a ∈ s, ↑(f a)- Defined in
- Mathlib.Data.NNReal.Basic
- Cited by
- 7 results in Mathlib
- Foundations
- Depth 112 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.
- Realstatement · cited by 25,697
- Finsetstatement and proof · cited by 13,712
- NNRealstatement and proof · cited by 4,310
- Finset.prodstatement · cited by 2,356
- NNReal.toRealstatement · cited by 1,260
- map_prodproof · cited by 108
- NNReal.toRealHomproof · cited by 13
Cited by7
Results whose statement or proof uses this declaration.
- ContinuousMultilinearMap.le_opNNNormproof · cited by 5
- ContinuousMultilinearMap.opNNNorm_le_iffproof · cited by 2
- FormalMultilinearSeries.compAlongComposition_nnnormproof · cited by 1
- Real.sqrt_prodproof · cited by 1
- Real.toNNReal_prod_of_nonnegproof · cited by 1
- Finset.nnnorm_prod_leproof · cited by 0
- Finset.nnnorm_prod_le'proof · cited by 0