Theorems · Theorem · functional analysis
ContinuousMultilinearMap.norm_mkPiAlgebraFin
∀ {𝕜 : Type u} [inst : NontriviallyNormedField 𝕜] {n : ℕ} {A : Type u_1} [inst_1 : SeminormedRing A]
[inst_2 : NormedAlgebra 𝕜 A] [NormOneClass A], ‖ContinuousMultilinearMap.mkPiAlgebraFin 𝕜 n A‖ = 1- Cited by
- 3 results in Mathlib
- Foundations
- Depth 166 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites21
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Realstatement and proof · cited by 25,697
- NontriviallyNormedFieldstatement and proof · cited by 8,742
- Norm.normstatement and proof · cited by 5,413
- mul_oneproof · cited by 3,885
- Finset.univproof · cited by 3,473
- le_antisymmproof · cited by 2,068
- NormedAlgebrastatement and proof · cited by 1,165
- ContinuousMultilinearMapstatement · cited by 1,016
- Finset.prod_congrproof · cited by 646
- one_powproof · cited by 521
- SeminormedRingstatement and proof · cited by 446
- div_selfproof · cited by 237
Cited by3
Results whose statement or proof uses this declaration.
- FormalMultilinearSeries.ofScalars_normproof · cited by 2
- alternatingGeometricSeries_apply_normproof · cited by 0
- formalMultilinearSeries_geometric_apply_normproof · cited by 0