Theorems · Theorem · real analysis
NNReal.toReal_finsuppProd
∀ {M : Type u_1} [inst : Zero M] {ι : Type u_2} (f : ι →₀ M) (g : ι → M → NNReal),
↑(f.prod g) = f.prod fun i m => ↑(g i m)- Defined in
- Mathlib.Data.NNReal.Basic
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 112 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- Zero
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
- Finsuppstatement and proof · cited by 5,255
- NNRealstatement and proof · cited by 4,310
- NNReal.toRealstatement · cited by 1,260
- Finsupp.prodstatement · cited by 231
- NNReal.toRealHomproof · cited by 13
- map_finsuppProdproof · cited by 8
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