Theorems · Theorem · sequences and series
Multipliable.norm_tprod
∀ {α : Type u_1} {E : Type u_2} [inst : SeminormedCommRing E] [NormMulClass E] [NormOneClass E] {f : α → E},
Multipliable f → ‖∏' (i : α), f i‖ = ∏' (i : α), ‖f i‖- Cited by
- 1 results in Mathlib
- Foundations
- Depth 158 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites11
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
- SummationFilter.unconditionalstatement and proof · cited by 2,068
- tprodstatement · cited by 230
- Multipliablestatement and proof · cited by 213
- NormOneClassstatement and proof · cited by 136
- Multipliable.hasProdproof · cited by 88
- NormMulClassstatement and proof · cited by 66
- HasProd.tprod_eqproof · cited by 49
- SeminormedCommRingstatement and proof · cited by 38
- HasProd.normproof · cited by 2
Cited by1
Results whose statement or proof uses this declaration.
- tprod_one_add_ne_zero_of_summableproof · cited by 1