Theorems · Theorem · functional analysis
ContinuousMultilinearMap.norm_mkPiAlgebra_of_empty
∀ {𝕜 : Type u} {ι : Type v} [inst : NontriviallyNormedField 𝕜] [inst_1 : Fintype ι] {A : Type u_1}
[inst_2 : NormedCommRing A] [inst_3 : NormedAlgebra 𝕜 A] [IsEmpty ι],
‖ContinuousMultilinearMap.mkPiAlgebra 𝕜 ι A‖ = ‖1‖- Cited by
- 1 results in Mathlib
- Foundations
- Depth 165 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites22
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coeproof · cited by 62,936
- Realstatement and proof · cited by 25,697
- NontriviallyNormedFieldstatement and proof · cited by 8,742
- Fintypestatement and proof · cited by 7,736
- Norm.normstatement and proof · cited by 5,413
- mul_oneproof · cited by 3,885
- Finset.univproof · cited by 3,473
- Finset.prodproof · cited by 2,356
- le_antisymmproof · cited by 2,068
- NormedAlgebrastatement and proof · cited by 1,165
- pow_zeroproof · cited by 1,094
- ContinuousMultilinearMapstatement · cited by 1,016
Cited by1
Results whose statement or proof uses this declaration.
- ContinuousMultilinearMap.norm_mkPiAlgebraproof · cited by 2