Theorems · Theorem · functional analysis
ContinuousMultilinearMap.norm_mkPiAlgebraFin_le_of_pos
∀ {𝕜 : Type u} [inst : NontriviallyNormedField 𝕜] {n : ℕ} {A : Type u_1} [inst_1 : SeminormedRing A]
[inst_2 : NormedAlgebra 𝕜 A], 0 < n → ‖ContinuousMultilinearMap.mkPiAlgebraFin 𝕜 n A‖ ≤ 1- Cited by
- 2 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.
Cites9
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Realstatement · cited by 25,697
- NontriviallyNormedFieldstatement and proof · cited by 8,742
- Norm.normstatement · cited by 5,413
- LT.lt.ne'proof · cited by 1,417
- NormedAlgebrastatement and proof · cited by 1,165
- ContinuousMultilinearMapstatement · cited by 1,016
- SeminormedRingstatement and proof · cited by 446
- ContinuousMultilinearMap.mkPiAlgebraFinstatement · cited by 29
- ContinuousMultilinearMap.norm_mkPiAlgebraFin_succ_leproof · cited by 2
Cited by2
Results whose statement or proof uses this declaration.
- FormalMultilinearSeries.ofScalars_norm_leproof · cited by 2
- ContinuousMultilinearMap.norm_mkPiAlgebraFin_leproof · cited by 2