Theorems · Theorem · functional analysis
List.norm_prod
∀ {α : Type u_2} [inst : SeminormedRing α] [NormOneClass α] [NormMulClass α] (l : List α),
‖l.prod‖ = (List.map norm l).prod- Defined in
- Mathlib.Analysis.Normed.Ring.Basic
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 99 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
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Cites8
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Realstatement · cited by 25,697
- Norm.normstatement · cited by 5,413
- SeminormedRingstatement and proof · cited by 446
- NormOneClassstatement and proof · cited by 136
- NormMulClassstatement and proof · cited by 66
- MonoidWithZeroHom.toMonoidHomproof · cited by 39
- map_list_prodproof · cited by 35
- normHomproof · cited by 8
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