Theorems · Theorem · sequences and series
HasProd.norm
∀ {α : Type u_1} {E : Type u_2} [inst : SeminormedCommRing E] [NormMulClass E] [NormOneClass E] {f : α → E} {x : E},
HasProd f x → HasProd (fun x => ‖f x‖) ‖x‖- Cited by
- 2 results in Mathlib
- Foundations
- Depth 157 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites13
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Realstatement · cited by 25,697
- Finsetproof · cited by 13,712
- nhdsproof · cited by 5,554
- Norm.normstatement and proof · cited by 5,413
- Filter.Tendstoproof · cited by 3,814
- SummationFilter.unconditionalstatement and proof · cited by 2,068
- Finset.prod_congrproof · cited by 646
- HasProdstatement and proof · cited by 157
- NormOneClassstatement and proof · cited by 136
- SummationFilter.filterproof · cited by 110
- NormMulClassstatement and proof · cited by 66
- Filter.Tendsto.normproof · cited by 44
Cited by2
Results whose statement or proof uses this declaration.
- Multipliable.norm_tprodproof · cited by 1
- Multipliable.normproof · cited by 0